306f_fb34

Table of Chi-Squared (χ²) Critical Values
Degrees of Freedom	Probability
Degrees of Freedom	0.95	0.90	0.75	0.50	0.25	0.10	0.05	0.01
1	0.00	0.02	0.10	0.45	1.32	2.71	3.84	6.63
2	0.10	0.21	0.58	1.39	2.77	4.61	5.99	9.21
3	0.35	0.58	1.21	2.37	4.11	6.25	7.81	11.34
4	0.71	1.06	1.92	3.36	5.39	7.78	9.49	13.28

Table 1
Phenotype	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	87	^(87-90)²⁄ ₈₇	0.103
Yellow Wrinkled (Y–rr)	30	23	^(23-30)²⁄ ₂₃	2.130
Green Round (yyR–)	30	35	^(35-30)²⁄ ₃₅	0.714
Green Wrinkled (yyrr)	10	15	^(15-10)²⁄ ₁₅	1.667
(sum) χ² =				4.615

Table 2
Phenotype	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	87	^(87-90)²⁄ ₉₀	0.100
Yellow Wrinkled (Y–rr)	30	23	^(23-30)²⁄ ₃₀	1.633
Green Round (yyR–)	30	35	^(35-30)²⁄ ₃₀	0.833
Green Wrinkled (yyrr)	10	15	^(15-10)²⁄ ₁₀	2.500
(sum) χ² =				5.067

Table 3
Phenotype	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	87	^(87-90)⁄ ₉₀	-0.033
Yellow Wrinkled (Y–rr)	30	23	^(23-30)⁄ ₃₀	-0.233
Green Round (yyR–)	30	35	^(35-30)⁄ ₃₀	0.167
Green Wrinkled (yyrr)	10	15	^(15-10)⁄ ₁₀	0.500
(sum) χ² =				0.400

Your lab partner is trying again (eye roll) and did another a chi-squared (χ²) test on the F₂ generation in a dihybid cross based on your lab data (above). They wanted to know if the results confirm the expected phenotype ratios.

You helped them set up the null hypothesis, so you know that part is correct, but they got confused and were unsure about how to calculate the chi-squared (χ²) value. So much so that they did it three (3) different ways.

Before you ask your instructor for a new lab partner, tell them which table is correct AND whether they can reject or fail to reject the null hypothesis using the information provided.

Table 1 with χ² = 4.615 is correct and we REJECT the null hypothesis Incorrect Table 2 with χ² = 5.067 is correct and we REJECT the null hypothesis Incorrect Table 3 with χ² = 0.400 is correct and we REJECT the null hypothesis Incorrect Table 1 with χ² = 4.615 is correct and we FAIL to REJECT the null hypothesis Incorrect Table 2 with χ² = 5.067 is correct and we FAIL to REJECT the null hypothesis Correct Table 3 with χ² = 0.400 is correct and we FAIL to REJECT the null hypothesis Incorrect MC

c375_7e88

Table of Chi-Squared (χ²) Critical Values
Degrees of Freedom	Probability
Degrees of Freedom	0.95	0.90	0.75	0.50	0.25	0.10	0.05	0.01
1	0.00	0.02	0.10	0.45	1.32	2.71	3.84	6.63
2	0.10	0.21	0.58	1.39	2.77	4.61	5.99	9.21
3	0.35	0.58	1.21	2.37	4.11	6.25	7.81	11.34
4	0.71	1.06	1.92	3.36	5.39	7.78	9.49	13.28

Table 1
Phenotype	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	79	^(79-90)²⁄ ₉₀	1.344
Yellow Wrinkled (Y–rr)	30	23	^(23-30)²⁄ ₃₀	1.633
Green Round (yyR–)	30	39	^(39-30)²⁄ ₃₀	2.700
Green Wrinkled (yyrr)	10	19	^(19-10)²⁄ ₁₀	8.100
(sum) χ² =				13.778

Table 2
Phenotype	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	79	^(79-90)⁄ ₉₀	-0.122
Yellow Wrinkled (Y–rr)	30	23	^(23-30)⁄ ₃₀	-0.233
Green Round (yyR–)	30	39	^(39-30)⁄ ₃₀	0.300
Green Wrinkled (yyrr)	10	19	^(19-10)⁄ ₁₀	0.900
(sum) χ² =				0.844

Table 3
Phenotype	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	79	^(79-90)²⁄ _79²	0.019
Yellow Wrinkled (Y–rr)	30	23	^(23-30)²⁄ _23²	0.093
Green Round (yyR–)	30	39	^(39-30)²⁄ _39²	0.053
Green Wrinkled (yyrr)	10	19	^(19-10)²⁄ _19²	0.224
(sum) χ² =				0.390

Before you ask your instructor for a new lab partner, tell them which table is correct AND whether they can reject or fail to reject the null hypothesis using the information provided.

Table 1 with χ² = 13.778 is correct and we REJECT the null hypothesis Correct Table 2 with χ² = 0.844 is correct and we REJECT the null hypothesis Incorrect Table 3 with χ² = 0.390 is correct and we REJECT the null hypothesis Incorrect Table 1 with χ² = 13.778 is correct and we FAIL to REJECT the null hypothesis Incorrect Table 2 with χ² = 0.844 is correct and we FAIL to REJECT the null hypothesis Incorrect Table 3 with χ² = 0.390 is correct and we FAIL to REJECT the null hypothesis Incorrect MC

b274_68d9

Table of Chi-Squared (χ²) Critical Values
Degrees of Freedom	Probability
Degrees of Freedom	0.95	0.90	0.75	0.50	0.25	0.10	0.05	0.01
1	0.00	0.02	0.10	0.45	1.32	2.71	3.84	6.63
2	0.10	0.21	0.58	1.39	2.77	4.61	5.99	9.21
3	0.35	0.58	1.21	2.37	4.11	6.25	7.81	11.34
4	0.71	1.06	1.92	3.36	5.39	7.78	9.49	13.28

Table 1
Phenotype	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	97	^(97-90)⁄ ₉₀	0.078
Yellow Wrinkled (Y–rr)	30	30	^(30-30)⁄ ₃₀	0.000
Green Round (yyR–)	30	26	^(26-30)⁄ ₃₀	-0.133
Green Wrinkled (yyrr)	10	7	^(7-10)⁄ ₁₀	-0.300
(sum) χ² =				-0.356

Table 2
Phenotype	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	97	^(97-90)²⁄ ₉₀	0.544
Yellow Wrinkled (Y–rr)	30	30	^(30-30)²⁄ ₃₀	0.000
Green Round (yyR–)	30	26	^(26-30)²⁄ ₃₀	0.533
Green Wrinkled (yyrr)	10	7	^(7-10)²⁄ ₁₀	0.900
(sum) χ² =				1.978

Table 3
Phenotype	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	97	^(97-90)²⁄ ₉₇	0.505
Yellow Wrinkled (Y–rr)	30	30	^(30-30)²⁄ ₃₀	0.000
Green Round (yyR–)	30	26	^(26-30)²⁄ ₂₆	0.615
Green Wrinkled (yyrr)	10	7	^(7-10)²⁄ ₇	1.286
(sum) χ² =				2.406

Before you ask your instructor for a new lab partner, tell them which table is correct AND whether they can reject or fail to reject the null hypothesis using the information provided.

Table 1 with χ² = -0.356 is correct and we REJECT the null hypothesis Incorrect Table 2 with χ² = 1.978 is correct and we REJECT the null hypothesis Incorrect Table 3 with χ² = 2.406 is correct and we REJECT the null hypothesis Incorrect Table 1 with χ² = -0.356 is correct and we FAIL to REJECT the null hypothesis Incorrect Table 2 with χ² = 1.978 is correct and we FAIL to REJECT the null hypothesis Correct Table 3 with χ² = 2.406 is correct and we FAIL to REJECT the null hypothesis Incorrect MC

d9d7_3815

Table of Chi-Squared (χ²) Critical Values
Degrees of Freedom	Probability
Degrees of Freedom	0.95	0.90	0.75	0.50	0.25	0.10	0.05	0.01
1	0.00	0.02	0.10	0.45	1.32	2.71	3.84	6.63
2	0.10	0.21	0.58	1.39	2.77	4.61	5.99	9.21
3	0.35	0.58	1.21	2.37	4.11	6.25	7.81	11.34
4	0.71	1.06	1.92	3.36	5.39	7.78	9.49	13.28

Table 1
Phenotype	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	82	^(82-90)²⁄ ₈₂	0.780
Yellow Wrinkled (Y–rr)	30	29	^(29-30)²⁄ ₂₉	0.034
Green Round (yyR–)	30	36	^(36-30)²⁄ ₃₆	1.000
Green Wrinkled (yyrr)	10	13	^(13-10)²⁄ ₁₃	0.692
(sum) χ² =				2.507

Table 2
Phenotype	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	82	^(82-90)²⁄ ₉₀	0.711
Yellow Wrinkled (Y–rr)	30	29	^(29-30)²⁄ ₃₀	0.033
Green Round (yyR–)	30	36	^(36-30)²⁄ ₃₀	1.200
Green Wrinkled (yyrr)	10	13	^(13-10)²⁄ ₁₀	0.900
(sum) χ² =				2.844

Table 3
Phenotype	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	82	^(82-90)⁄ ₉₀	-0.089
Yellow Wrinkled (Y–rr)	30	29	^(29-30)⁄ ₃₀	-0.033
Green Round (yyR–)	30	36	^(36-30)⁄ ₃₀	0.200
Green Wrinkled (yyrr)	10	13	^(13-10)⁄ ₁₀	0.300
(sum) χ² =				0.378

Before you ask your instructor for a new lab partner, tell them which table is correct AND whether they can reject or fail to reject the null hypothesis using the information provided.

Table 1 with χ² = 2.507 is correct and we REJECT the null hypothesis Incorrect Table 2 with χ² = 2.844 is correct and we REJECT the null hypothesis Incorrect Table 3 with χ² = 0.378 is correct and we REJECT the null hypothesis Incorrect Table 1 with χ² = 2.507 is correct and we FAIL to REJECT the null hypothesis Incorrect Table 2 with χ² = 2.844 is correct and we FAIL to REJECT the null hypothesis Correct Table 3 with χ² = 0.378 is correct and we FAIL to REJECT the null hypothesis Incorrect MC

8aae_af1d

Table of Chi-Squared (χ²) Critical Values
Degrees of Freedom	Probability
Degrees of Freedom	0.95	0.90	0.75	0.50	0.25	0.10	0.05	0.01
1	0.00	0.02	0.10	0.45	1.32	2.71	3.84	6.63
2	0.10	0.21	0.58	1.39	2.77	4.61	5.99	9.21
3	0.35	0.58	1.21	2.37	4.11	6.25	7.81	11.34
4	0.71	1.06	1.92	3.36	5.39	7.78	9.49	13.28

Table 1
Phenotype	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	97	^(97-90)⁄ ₉₀	0.078
Yellow Wrinkled (Y–rr)	30	27	^(27-30)⁄ ₃₀	-0.100
Green Round (yyR–)	30	23	^(23-30)⁄ ₃₀	-0.233
Green Wrinkled (yyrr)	10	13	^(13-10)⁄ ₁₀	0.300
(sum) χ² =				0.044

Table 2
Phenotype	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	97	^(97-90)²⁄ ₉₀	0.544
Yellow Wrinkled (Y–rr)	30	27	^(27-30)²⁄ ₃₀	0.300
Green Round (yyR–)	30	23	^(23-30)²⁄ ₃₀	1.633
Green Wrinkled (yyrr)	10	13	^(13-10)²⁄ ₁₀	0.900
(sum) χ² =				3.378

Table 3
Phenotype	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	97	^(97-90)²⁄ _97²	0.005
Yellow Wrinkled (Y–rr)	30	27	^(27-30)²⁄ _27²	0.012
Green Round (yyR–)	30	23	^(23-30)²⁄ _23²	0.093
Green Wrinkled (yyrr)	10	13	^(13-10)²⁄ _13²	0.053
(sum) χ² =				0.163

Before you ask your instructor for a new lab partner, tell them which table is correct AND whether they can reject or fail to reject the null hypothesis using the information provided.

Table 1 with χ² = 0.044 is correct and we REJECT the null hypothesis Incorrect Table 2 with χ² = 3.378 is correct and we REJECT the null hypothesis Incorrect Table 3 with χ² = 0.163 is correct and we REJECT the null hypothesis Incorrect Table 1 with χ² = 0.044 is correct and we FAIL to REJECT the null hypothesis Incorrect Table 2 with χ² = 3.378 is correct and we FAIL to REJECT the null hypothesis Correct Table 3 with χ² = 0.163 is correct and we FAIL to REJECT the null hypothesis Incorrect MC

3d6f_5458

Table of Chi-Squared (χ²) Critical Values
Degrees of Freedom	Probability
Degrees of Freedom	0.95	0.90	0.75	0.50	0.25	0.10	0.05	0.01
1	0.00	0.02	0.10	0.45	1.32	2.71	3.84	6.63
2	0.10	0.21	0.58	1.39	2.77	4.61	5.99	9.21
3	0.35	0.58	1.21	2.37	4.11	6.25	7.81	11.34
4	0.71	1.06	1.92	3.36	5.39	7.78	9.49	13.28

Table 1
Phenotype	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	79	^(79-90)²⁄ ₇₉	1.532
Yellow Wrinkled (Y–rr)	30	23	^(23-30)²⁄ ₂₃	2.130
Green Round (yyR–)	30	41	^(41-30)²⁄ ₄₁	2.951
Green Wrinkled (yyrr)	10	17	^(17-10)²⁄ ₁₇	2.882
(sum) χ² =				9.496

Table 2
Phenotype	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	79	^(79-90)⁄ ₉₀	-0.122
Yellow Wrinkled (Y–rr)	30	23	^(23-30)⁄ ₃₀	-0.233
Green Round (yyR–)	30	41	^(41-30)⁄ ₃₀	0.367
Green Wrinkled (yyrr)	10	17	^(17-10)⁄ ₁₀	0.700
(sum) χ² =				0.711

Table 3
Phenotype	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	79	^(79-90)²⁄ ₉₀	1.344
Yellow Wrinkled (Y–rr)	30	23	^(23-30)²⁄ ₃₀	1.633
Green Round (yyR–)	30	41	^(41-30)²⁄ ₃₀	4.033
Green Wrinkled (yyrr)	10	17	^(17-10)²⁄ ₁₀	4.900
(sum) χ² =				11.911

Before you ask your instructor for a new lab partner, tell them which table is correct AND whether they can reject or fail to reject the null hypothesis using the information provided.

Table 1 with χ² = 9.496 is correct and we REJECT the null hypothesis Incorrect Table 2 with χ² = 0.711 is correct and we REJECT the null hypothesis Incorrect Table 3 with χ² = 11.911 is correct and we REJECT the null hypothesis Correct Table 1 with χ² = 9.496 is correct and we FAIL to REJECT the null hypothesis Incorrect Table 2 with χ² = 0.711 is correct and we FAIL to REJECT the null hypothesis Incorrect Table 3 with χ² = 11.911 is correct and we FAIL to REJECT the null hypothesis Incorrect MC

0ef4_b001

Table of Chi-Squared (χ²) Critical Values
Degrees of Freedom	Probability
Degrees of Freedom	0.95	0.90	0.75	0.50	0.25	0.10	0.05	0.01
1	0.00	0.02	0.10	0.45	1.32	2.71	3.84	6.63
2	0.10	0.21	0.58	1.39	2.77	4.61	5.99	9.21
3	0.35	0.58	1.21	2.37	4.11	6.25	7.81	11.34
4	0.71	1.06	1.92	3.36	5.39	7.78	9.49	13.28

Table 1
Phenotype	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	84	^(84-90)²⁄ ₉₀	0.400
Yellow Wrinkled (Y–rr)	30	31	^(31-30)²⁄ ₃₀	0.033
Green Round (yyR–)	30	30	^(30-30)²⁄ ₃₀	0.000
Green Wrinkled (yyrr)	10	15	^(15-10)²⁄ ₁₀	2.500
(sum) χ² =				2.933

Table 2
Phenotype	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	84	^(84-90)⁄ ₉₀	-0.067
Yellow Wrinkled (Y–rr)	30	31	^(31-30)⁄ ₃₀	0.033
Green Round (yyR–)	30	30	^(30-30)⁄ ₃₀	0.000
Green Wrinkled (yyrr)	10	15	^(15-10)⁄ ₁₀	0.500
(sum) χ² =				0.467

Table 3
Phenotype	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	84	^(84-90)²⁄ _84²	0.005
Yellow Wrinkled (Y–rr)	30	31	^(31-30)²⁄ _31²	0.001
Green Round (yyR–)	30	30	^(30-30)²⁄ _30²	0.000
Green Wrinkled (yyrr)	10	15	^(15-10)²⁄ _15²	0.111
(sum) χ² =				0.117

Before you ask your instructor for a new lab partner, tell them which table is correct AND whether they can reject or fail to reject the null hypothesis using the information provided.

Table 1 with χ² = 2.933 is correct and we REJECT the null hypothesis Incorrect Table 2 with χ² = 0.467 is correct and we REJECT the null hypothesis Incorrect Table 3 with χ² = 0.117 is correct and we REJECT the null hypothesis Incorrect Table 1 with χ² = 2.933 is correct and we FAIL to REJECT the null hypothesis Correct Table 2 with χ² = 0.467 is correct and we FAIL to REJECT the null hypothesis Incorrect Table 3 with χ² = 0.117 is correct and we FAIL to REJECT the null hypothesis Incorrect MC

3b14_d7a9

Table of Chi-Squared (χ²) Critical Values
Degrees of Freedom	Probability
Degrees of Freedom	0.95	0.90	0.75	0.50	0.25	0.10	0.05	0.01
1	0.00	0.02	0.10	0.45	1.32	2.71	3.84	6.63
2	0.10	0.21	0.58	1.39	2.77	4.61	5.99	9.21
3	0.35	0.58	1.21	2.37	4.11	6.25	7.81	11.34
4	0.71	1.06	1.92	3.36	5.39	7.78	9.49	13.28

Table 1
Phenotype	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	74	^(74-90)²⁄ _74²	0.047
Yellow Wrinkled (Y–rr)	30	21	^(21-30)²⁄ _21²	0.184
Green Round (yyR–)	30	49	^(49-30)²⁄ _49²	0.150
Green Wrinkled (yyrr)	10	16	^(16-10)²⁄ _16²	0.141
(sum) χ² =				0.521

Table 2
Phenotype	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	74	^(74-90)²⁄ ₉₀	2.844
Yellow Wrinkled (Y–rr)	30	21	^(21-30)²⁄ ₃₀	2.700
Green Round (yyR–)	30	49	^(49-30)²⁄ ₃₀	12.033
Green Wrinkled (yyrr)	10	16	^(16-10)²⁄ ₁₀	3.600
(sum) χ² =				21.178

Table 3
Phenotype	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	74	^(74-90)⁄ ₉₀	-0.178
Yellow Wrinkled (Y–rr)	30	21	^(21-30)⁄ ₃₀	-0.300
Green Round (yyR–)	30	49	^(49-30)⁄ ₃₀	0.633
Green Wrinkled (yyrr)	10	16	^(16-10)⁄ ₁₀	0.600
(sum) χ² =				0.756

Before you ask your instructor for a new lab partner, tell them which table is correct AND whether they can reject or fail to reject the null hypothesis using the information provided.

Table 1 with χ² = 0.521 is correct and we REJECT the null hypothesis Incorrect Table 2 with χ² = 21.178 is correct and we REJECT the null hypothesis Correct Table 3 with χ² = 0.756 is correct and we REJECT the null hypothesis Incorrect Table 1 with χ² = 0.521 is correct and we FAIL to REJECT the null hypothesis Incorrect Table 2 with χ² = 21.178 is correct and we FAIL to REJECT the null hypothesis Incorrect Table 3 with χ² = 0.756 is correct and we FAIL to REJECT the null hypothesis Incorrect MC

89a9_795e

Table of Chi-Squared (χ²) Critical Values
Degrees of Freedom	Probability
Degrees of Freedom	0.95	0.90	0.75	0.50	0.25	0.10	0.05	0.01
1	0.00	0.02	0.10	0.45	1.32	2.71	3.84	6.63
2	0.10	0.21	0.58	1.39	2.77	4.61	5.99	9.21
3	0.35	0.58	1.21	2.37	4.11	6.25	7.81	11.34
4	0.71	1.06	1.92	3.36	5.39	7.78	9.49	13.28

Table 1
Phenotype	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	76	^(76-90)²⁄ _76²	0.034
Yellow Wrinkled (Y–rr)	30	23	^(23-30)²⁄ _23²	0.093
Green Round (yyR–)	30	43	^(43-30)²⁄ _43²	0.091
Green Wrinkled (yyrr)	10	18	^(18-10)²⁄ _18²	0.198
(sum) χ² =				0.415

Table 2
Phenotype	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	76	^(76-90)⁄ ₉₀	-0.156
Yellow Wrinkled (Y–rr)	30	23	^(23-30)⁄ ₃₀	-0.233
Green Round (yyR–)	30	43	^(43-30)⁄ ₃₀	0.433
Green Wrinkled (yyrr)	10	18	^(18-10)⁄ ₁₀	0.800
(sum) χ² =				0.844

Table 3
Phenotype	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	76	^(76-90)²⁄ ₉₀	2.178
Yellow Wrinkled (Y–rr)	30	23	^(23-30)²⁄ ₃₀	1.633
Green Round (yyR–)	30	43	^(43-30)²⁄ ₃₀	5.633
Green Wrinkled (yyrr)	10	18	^(18-10)²⁄ ₁₀	6.400
(sum) χ² =				15.844

Before you ask your instructor for a new lab partner, tell them which table is correct AND whether they can reject or fail to reject the null hypothesis using the information provided.

Table 1 with χ² = 0.415 is correct and we REJECT the null hypothesis Incorrect Table 2 with χ² = 0.844 is correct and we REJECT the null hypothesis Incorrect Table 3 with χ² = 15.844 is correct and we REJECT the null hypothesis Correct Table 1 with χ² = 0.415 is correct and we FAIL to REJECT the null hypothesis Incorrect Table 2 with χ² = 0.844 is correct and we FAIL to REJECT the null hypothesis Incorrect Table 3 with χ² = 15.844 is correct and we FAIL to REJECT the null hypothesis Incorrect MC

2697_918f

Table of Chi-Squared (χ²) Critical Values
Degrees of Freedom	Probability
Degrees of Freedom	0.95	0.90	0.75	0.50	0.25	0.10	0.05	0.01
1	0.00	0.02	0.10	0.45	1.32	2.71	3.84	6.63
2	0.10	0.21	0.58	1.39	2.77	4.61	5.99	9.21
3	0.35	0.58	1.21	2.37	4.11	6.25	7.81	11.34
4	0.71	1.06	1.92	3.36	5.39	7.78	9.49	13.28

Table 1
Phenotype	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	87	^(87-90)²⁄ ₈₇	0.103
Yellow Wrinkled (Y–rr)	30	37	^(37-30)²⁄ ₃₇	1.324
Green Round (yyR–)	30	29	^(29-30)²⁄ ₂₉	0.034
Green Wrinkled (yyrr)	10	7	^(7-10)²⁄ ₇	1.286
(sum) χ² =				2.748

Table 2
Phenotype	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	87	^(87-90)²⁄ _87²	0.001
Yellow Wrinkled (Y–rr)	30	37	^(37-30)²⁄ _37²	0.036
Green Round (yyR–)	30	29	^(29-30)²⁄ _29²	0.001
Green Wrinkled (yyrr)	10	7	^(7-10)²⁄ _7²	0.184
(sum) χ² =				0.222

Table 3
Phenotype	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	87	^(87-90)²⁄ ₉₀	0.100
Yellow Wrinkled (Y–rr)	30	37	^(37-30)²⁄ ₃₀	1.633
Green Round (yyR–)	30	29	^(29-30)²⁄ ₃₀	0.033
Green Wrinkled (yyrr)	10	7	^(7-10)²⁄ ₁₀	0.900
(sum) χ² =				2.667

Before you ask your instructor for a new lab partner, tell them which table is correct AND whether they can reject or fail to reject the null hypothesis using the information provided.

Table 1 with χ² = 2.748 is correct and we REJECT the null hypothesis Incorrect Table 2 with χ² = 0.222 is correct and we REJECT the null hypothesis Incorrect Table 3 with χ² = 2.667 is correct and we REJECT the null hypothesis Incorrect Table 1 with χ² = 2.748 is correct and we FAIL to REJECT the null hypothesis Incorrect Table 2 with χ² = 0.222 is correct and we FAIL to REJECT the null hypothesis Incorrect Table 3 with χ² = 2.667 is correct and we FAIL to REJECT the null hypothesis Correct MC

3fa2_8d06

Table of Chi-Squared (χ²) Critical Values
Degrees of Freedom	Probability
Degrees of Freedom	0.95	0.90	0.75	0.50	0.25	0.10	0.05	0.01
1	0.00	0.02	0.10	0.45	1.32	2.71	3.84	6.63
2	0.10	0.21	0.58	1.39	2.77	4.61	5.99	9.21
3	0.35	0.58	1.21	2.37	4.11	6.25	7.81	11.34
4	0.71	1.06	1.92	3.36	5.39	7.78	9.49	13.28

Table 1
Phenotype	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	98	^(98-90)²⁄ _98²	0.007
Yellow Wrinkled (Y–rr)	30	31	^(31-30)²⁄ _31²	0.001
Green Round (yyR–)	30	23	^(23-30)²⁄ _23²	0.093
Green Wrinkled (yyrr)	10	8	^(8-10)²⁄ _8²	0.062
(sum) χ² =				0.163

Table 2
Phenotype	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	98	^(98-90)²⁄ ₉₀	0.711
Yellow Wrinkled (Y–rr)	30	31	^(31-30)²⁄ ₃₀	0.033
Green Round (yyR–)	30	23	^(23-30)²⁄ ₃₀	1.633
Green Wrinkled (yyrr)	10	8	^(8-10)²⁄ ₁₀	0.400
(sum) χ² =				2.778

Table 3
Phenotype	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	98	^(98-90)⁄ ₉₀	0.089
Yellow Wrinkled (Y–rr)	30	31	^(31-30)⁄ ₃₀	0.033
Green Round (yyR–)	30	23	^(23-30)⁄ ₃₀	-0.233
Green Wrinkled (yyrr)	10	8	^(8-10)⁄ ₁₀	-0.200
(sum) χ² =				-0.311

Before you ask your instructor for a new lab partner, tell them which table is correct AND whether they can reject or fail to reject the null hypothesis using the information provided.

Table 1 with χ² = 0.163 is correct and we REJECT the null hypothesis Incorrect Table 2 with χ² = 2.778 is correct and we REJECT the null hypothesis Incorrect Table 3 with χ² = -0.311 is correct and we REJECT the null hypothesis Incorrect Table 1 with χ² = 0.163 is correct and we FAIL to REJECT the null hypothesis Incorrect Table 2 with χ² = 2.778 is correct and we FAIL to REJECT the null hypothesis Correct Table 3 with χ² = -0.311 is correct and we FAIL to REJECT the null hypothesis Incorrect MC

9c80_e2a5

Table of Chi-Squared (χ²) Critical Values
Degrees of Freedom	Probability
Degrees of Freedom	0.95	0.90	0.75	0.50	0.25	0.10	0.05	0.01
1	0.00	0.02	0.10	0.45	1.32	2.71	3.84	6.63
2	0.10	0.21	0.58	1.39	2.77	4.61	5.99	9.21
3	0.35	0.58	1.21	2.37	4.11	6.25	7.81	11.34
4	0.71	1.06	1.92	3.36	5.39	7.78	9.49	13.28

Table 1
Phenotype	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	72	^(72-90)²⁄ ₉₀	3.600
Yellow Wrinkled (Y–rr)	30	24	^(24-30)²⁄ ₃₀	1.200
Green Round (yyR–)	30	45	^(45-30)²⁄ ₃₀	7.500
Green Wrinkled (yyrr)	10	19	^(19-10)²⁄ ₁₀	8.100
(sum) χ² =				20.400

Table 2
Phenotype	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	72	^(72-90)²⁄ ₇₂	4.500
Yellow Wrinkled (Y–rr)	30	24	^(24-30)²⁄ ₂₄	1.500
Green Round (yyR–)	30	45	^(45-30)²⁄ ₄₅	5.000
Green Wrinkled (yyrr)	10	19	^(19-10)²⁄ ₁₉	4.263
(sum) χ² =				15.263

Table 3
Phenotype	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	72	^(72-90)⁄ ₉₀	-0.200
Yellow Wrinkled (Y–rr)	30	24	^(24-30)⁄ ₃₀	-0.200
Green Round (yyR–)	30	45	^(45-30)⁄ ₃₀	0.500
Green Wrinkled (yyrr)	10	19	^(19-10)⁄ ₁₀	0.900
(sum) χ² =				1.000

Before you ask your instructor for a new lab partner, tell them which table is correct AND whether they can reject or fail to reject the null hypothesis using the information provided.

Table 1 with χ² = 20.400 is correct and we REJECT the null hypothesis Correct Table 2 with χ² = 15.263 is correct and we REJECT the null hypothesis Incorrect Table 3 with χ² = 1.000 is correct and we REJECT the null hypothesis Incorrect Table 1 with χ² = 20.400 is correct and we FAIL to REJECT the null hypothesis Incorrect Table 2 with χ² = 15.263 is correct and we FAIL to REJECT the null hypothesis Incorrect Table 3 with χ² = 1.000 is correct and we FAIL to REJECT the null hypothesis Incorrect MC

8033_5ac9

Table of Chi-Squared (χ²) Critical Values
Degrees of Freedom	Probability
Degrees of Freedom	0.95	0.90	0.75	0.50	0.25	0.10	0.05	0.01
1	0.00	0.02	0.10	0.45	1.32	2.71	3.84	6.63
2	0.10	0.21	0.58	1.39	2.77	4.61	5.99	9.21
3	0.35	0.58	1.21	2.37	4.11	6.25	7.81	11.34
4	0.71	1.06	1.92	3.36	5.39	7.78	9.49	13.28

Table 1
Phenotype	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	96	^(96-90)²⁄ ₉₀	0.400
Yellow Wrinkled (Y–rr)	30	25	^(25-30)²⁄ ₃₀	0.833
Green Round (yyR–)	30	33	^(33-30)²⁄ ₃₀	0.300
Green Wrinkled (yyrr)	10	6	^(6-10)²⁄ ₁₀	1.600
(sum) χ² =				3.133

Table 2
Phenotype	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	96	^(96-90)²⁄ _96²	0.004
Yellow Wrinkled (Y–rr)	30	25	^(25-30)²⁄ _25²	0.040
Green Round (yyR–)	30	33	^(33-30)²⁄ _33²	0.008
Green Wrinkled (yyrr)	10	6	^(6-10)²⁄ _6²	0.444
(sum) χ² =				0.497

Table 3
Phenotype	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	96	^(96-90)²⁄ ₉₆	0.375
Yellow Wrinkled (Y–rr)	30	25	^(25-30)²⁄ ₂₅	1.000
Green Round (yyR–)	30	33	^(33-30)²⁄ ₃₃	0.273
Green Wrinkled (yyrr)	10	6	^(6-10)²⁄ ₆	2.667
(sum) χ² =				4.314

Before you ask your instructor for a new lab partner, tell them which table is correct AND whether they can reject or fail to reject the null hypothesis using the information provided.

Table 1 with χ² = 3.133 is correct and we REJECT the null hypothesis Incorrect Table 2 with χ² = 0.497 is correct and we REJECT the null hypothesis Incorrect Table 3 with χ² = 4.314 is correct and we REJECT the null hypothesis Incorrect Table 1 with χ² = 3.133 is correct and we FAIL to REJECT the null hypothesis Correct Table 2 with χ² = 0.497 is correct and we FAIL to REJECT the null hypothesis Incorrect Table 3 with χ² = 4.314 is correct and we FAIL to REJECT the null hypothesis Incorrect MC

fe15_176f

Table of Chi-Squared (χ²) Critical Values
Degrees of Freedom	Probability
Degrees of Freedom	0.95	0.90	0.75	0.50	0.25	0.10	0.05	0.01
1	0.00	0.02	0.10	0.45	1.32	2.71	3.84	6.63
2	0.10	0.21	0.58	1.39	2.77	4.61	5.99	9.21
3	0.35	0.58	1.21	2.37	4.11	6.25	7.81	11.34
4	0.71	1.06	1.92	3.36	5.39	7.78	9.49	13.28

Table 1
Phenotype	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	81	^(81-90)²⁄ ₉₀	0.900
Yellow Wrinkled (Y–rr)	30	14	^(14-30)²⁄ ₃₀	8.533
Green Round (yyR–)	30	48	^(48-30)²⁄ ₃₀	10.800
Green Wrinkled (yyrr)	10	17	^(17-10)²⁄ ₁₀	4.900
(sum) χ² =				25.133

Table 2
Phenotype	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	81	^(81-90)⁄ ₉₀	-0.100
Yellow Wrinkled (Y–rr)	30	14	^(14-30)⁄ ₃₀	-0.533
Green Round (yyR–)	30	48	^(48-30)⁄ ₃₀	0.600
Green Wrinkled (yyrr)	10	17	^(17-10)⁄ ₁₀	0.700
(sum) χ² =				0.667

Table 3
Phenotype	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	81	^(81-90)²⁄ ₈₁	1.000
Yellow Wrinkled (Y–rr)	30	14	^(14-30)²⁄ ₁₄	18.286
Green Round (yyR–)	30	48	^(48-30)²⁄ ₄₈	6.750
Green Wrinkled (yyrr)	10	17	^(17-10)²⁄ ₁₇	2.882
(sum) χ² =				28.918

Before you ask your instructor for a new lab partner, tell them which table is correct AND whether they can reject or fail to reject the null hypothesis using the information provided.

Table 1 with χ² = 25.133 is correct and we REJECT the null hypothesis Correct Table 2 with χ² = 0.667 is correct and we REJECT the null hypothesis Incorrect Table 3 with χ² = 28.918 is correct and we REJECT the null hypothesis Incorrect Table 1 with χ² = 25.133 is correct and we FAIL to REJECT the null hypothesis Incorrect Table 2 with χ² = 0.667 is correct and we FAIL to REJECT the null hypothesis Incorrect Table 3 with χ² = 28.918 is correct and we FAIL to REJECT the null hypothesis Incorrect MC

0c63_deeb

Table of Chi-Squared (χ²) Critical Values
Degrees of Freedom	Probability
Degrees of Freedom	0.95	0.90	0.75	0.50	0.25	0.10	0.05	0.01
1	0.00	0.02	0.10	0.45	1.32	2.71	3.84	6.63
2	0.10	0.21	0.58	1.39	2.77	4.61	5.99	9.21
3	0.35	0.58	1.21	2.37	4.11	6.25	7.81	11.34
4	0.71	1.06	1.92	3.36	5.39	7.78	9.49	13.28

Table 1
Phenotype	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	83	^(83-90)⁄ ₉₀	-0.078
Yellow Wrinkled (Y–rr)	30	15	^(15-30)⁄ ₃₀	-0.500
Green Round (yyR–)	30	43	^(43-30)⁄ ₃₀	0.433
Green Wrinkled (yyrr)	10	19	^(19-10)⁄ ₁₀	0.900
(sum) χ² =				0.756

Table 2
Phenotype	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	83	^(83-90)²⁄ ₉₀	0.544
Yellow Wrinkled (Y–rr)	30	15	^(15-30)²⁄ ₃₀	7.500
Green Round (yyR–)	30	43	^(43-30)²⁄ ₃₀	5.633
Green Wrinkled (yyrr)	10	19	^(19-10)²⁄ ₁₀	8.100
(sum) χ² =				21.778

Table 3
Phenotype	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	83	^(83-90)²⁄ ₈₃	0.590
Yellow Wrinkled (Y–rr)	30	15	^(15-30)²⁄ ₁₅	15.000
Green Round (yyR–)	30	43	^(43-30)²⁄ ₄₃	3.930
Green Wrinkled (yyrr)	10	19	^(19-10)²⁄ ₁₉	4.263
(sum) χ² =				23.784

Before you ask your instructor for a new lab partner, tell them which table is correct AND whether they can reject or fail to reject the null hypothesis using the information provided.

Table 1 with χ² = 0.756 is correct and we REJECT the null hypothesis Incorrect Table 2 with χ² = 21.778 is correct and we REJECT the null hypothesis Correct Table 3 with χ² = 23.784 is correct and we REJECT the null hypothesis Incorrect Table 1 with χ² = 0.756 is correct and we FAIL to REJECT the null hypothesis Incorrect Table 2 with χ² = 21.778 is correct and we FAIL to REJECT the null hypothesis Incorrect Table 3 with χ² = 23.784 is correct and we FAIL to REJECT the null hypothesis Incorrect MC

db12_69bb

Table of Chi-Squared (χ²) Critical Values
Degrees of Freedom	Probability
Degrees of Freedom	0.95	0.90	0.75	0.50	0.25	0.10	0.05	0.01
1	0.00	0.02	0.10	0.45	1.32	2.71	3.84	6.63
2	0.10	0.21	0.58	1.39	2.77	4.61	5.99	9.21
3	0.35	0.58	1.21	2.37	4.11	6.25	7.81	11.34
4	0.71	1.06	1.92	3.36	5.39	7.78	9.49	13.28

Table 1
Phenotype	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	96	^(96-90)²⁄ ₉₀	0.400
Yellow Wrinkled (Y–rr)	30	26	^(26-30)²⁄ ₃₀	0.533
Green Round (yyR–)	30	26	^(26-30)²⁄ ₃₀	0.533
Green Wrinkled (yyrr)	10	12	^(12-10)²⁄ ₁₀	0.400
(sum) χ² =				1.867

Table 2
Phenotype	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	96	^(96-90)²⁄ ₉₆	0.375
Yellow Wrinkled (Y–rr)	30	26	^(26-30)²⁄ ₂₆	0.615
Green Round (yyR–)	30	26	^(26-30)²⁄ ₂₆	0.615
Green Wrinkled (yyrr)	10	12	^(12-10)²⁄ ₁₂	0.333
(sum) χ² =				1.939

Table 3
Phenotype	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	96	^(96-90)⁄ ₉₀	0.067
Yellow Wrinkled (Y–rr)	30	26	^(26-30)⁄ ₃₀	-0.133
Green Round (yyR–)	30	26	^(26-30)⁄ ₃₀	-0.133
Green Wrinkled (yyrr)	10	12	^(12-10)⁄ ₁₀	0.200
(sum) χ² =				0.000

Before you ask your instructor for a new lab partner, tell them which table is correct AND whether they can reject or fail to reject the null hypothesis using the information provided.

Table 1 with χ² = 1.867 is correct and we REJECT the null hypothesis Incorrect Table 2 with χ² = 1.939 is correct and we REJECT the null hypothesis Incorrect Table 3 with χ² = 0.000 is correct and we REJECT the null hypothesis Incorrect Table 1 with χ² = 1.867 is correct and we FAIL to REJECT the null hypothesis Correct Table 2 with χ² = 1.939 is correct and we FAIL to REJECT the null hypothesis Incorrect Table 3 with χ² = 0.000 is correct and we FAIL to REJECT the null hypothesis Incorrect MC

bf1f_e32c

Table of Chi-Squared (χ²) Critical Values
Degrees of Freedom	Probability
Degrees of Freedom	0.95	0.90	0.75	0.50	0.25	0.10	0.05	0.01
1	0.00	0.02	0.10	0.45	1.32	2.71	3.84	6.63
2	0.10	0.21	0.58	1.39	2.77	4.61	5.99	9.21
3	0.35	0.58	1.21	2.37	4.11	6.25	7.81	11.34
4	0.71	1.06	1.92	3.36	5.39	7.78	9.49	13.28

Table 1
Phenotype	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	80	^(80-90)²⁄ _80²	0.016
Yellow Wrinkled (Y–rr)	30	20	^(20-30)²⁄ _20²	0.250
Green Round (yyR–)	30	43	^(43-30)²⁄ _43²	0.091
Green Wrinkled (yyrr)	10	17	^(17-10)²⁄ _17²	0.170
(sum) χ² =				0.527

Table 2
Phenotype	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	80	^(80-90)⁄ ₉₀	-0.111
Yellow Wrinkled (Y–rr)	30	20	^(20-30)⁄ ₃₀	-0.333
Green Round (yyR–)	30	43	^(43-30)⁄ ₃₀	0.433
Green Wrinkled (yyrr)	10	17	^(17-10)⁄ ₁₀	0.700
(sum) χ² =				0.689

Table 3
Phenotype	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	80	^(80-90)²⁄ ₉₀	1.111
Yellow Wrinkled (Y–rr)	30	20	^(20-30)²⁄ ₃₀	3.333
Green Round (yyR–)	30	43	^(43-30)²⁄ ₃₀	5.633
Green Wrinkled (yyrr)	10	17	^(17-10)²⁄ ₁₀	4.900
(sum) χ² =				14.978

Before you ask your instructor for a new lab partner, tell them which table is correct AND whether they can reject or fail to reject the null hypothesis using the information provided.

Table 1 with χ² = 0.527 is correct and we REJECT the null hypothesis Incorrect Table 2 with χ² = 0.689 is correct and we REJECT the null hypothesis Incorrect Table 3 with χ² = 14.978 is correct and we REJECT the null hypothesis Correct Table 1 with χ² = 0.527 is correct and we FAIL to REJECT the null hypothesis Incorrect Table 2 with χ² = 0.689 is correct and we FAIL to REJECT the null hypothesis Incorrect Table 3 with χ² = 14.978 is correct and we FAIL to REJECT the null hypothesis Incorrect MC

6960_8b39

Table of Chi-Squared (χ²) Critical Values
Degrees of Freedom	Probability
Degrees of Freedom	0.95	0.90	0.75	0.50	0.25	0.10	0.05	0.01
1	0.00	0.02	0.10	0.45	1.32	2.71	3.84	6.63
2	0.10	0.21	0.58	1.39	2.77	4.61	5.99	9.21
3	0.35	0.58	1.21	2.37	4.11	6.25	7.81	11.34
4	0.71	1.06	1.92	3.36	5.39	7.78	9.49	13.28

Table 1
Phenotype	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	82	^(82-90)⁄ ₉₀	-0.089
Yellow Wrinkled (Y–rr)	30	32	^(32-30)⁄ ₃₀	0.067
Green Round (yyR–)	30	33	^(33-30)⁄ ₃₀	0.100
Green Wrinkled (yyrr)	10	13	^(13-10)⁄ ₁₀	0.300
(sum) χ² =				0.378

Table 2
Phenotype	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	82	^(82-90)²⁄ ₉₀	0.711
Yellow Wrinkled (Y–rr)	30	32	^(32-30)²⁄ ₃₀	0.133
Green Round (yyR–)	30	33	^(33-30)²⁄ ₃₀	0.300
Green Wrinkled (yyrr)	10	13	^(13-10)²⁄ ₁₀	0.900
(sum) χ² =				2.044

Table 3
Phenotype	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	82	^(82-90)²⁄ ₈₂	0.780
Yellow Wrinkled (Y–rr)	30	32	^(32-30)²⁄ ₃₂	0.125
Green Round (yyR–)	30	33	^(33-30)²⁄ ₃₃	0.273
Green Wrinkled (yyrr)	10	13	^(13-10)²⁄ ₁₃	0.692
(sum) χ² =				1.871

Before you ask your instructor for a new lab partner, tell them which table is correct AND whether they can reject or fail to reject the null hypothesis using the information provided.

Table 1 with χ² = 0.378 is correct and we REJECT the null hypothesis Incorrect Table 2 with χ² = 2.044 is correct and we REJECT the null hypothesis Incorrect Table 3 with χ² = 1.871 is correct and we REJECT the null hypothesis Incorrect Table 1 with χ² = 0.378 is correct and we FAIL to REJECT the null hypothesis Incorrect Table 2 with χ² = 2.044 is correct and we FAIL to REJECT the null hypothesis Correct Table 3 with χ² = 1.871 is correct and we FAIL to REJECT the null hypothesis Incorrect MC

a896_bae6

Table of Chi-Squared (χ²) Critical Values
Degrees of Freedom	Probability
Degrees of Freedom	0.95	0.90	0.75	0.50	0.25	0.10	0.05	0.01
1	0.00	0.02	0.10	0.45	1.32	2.71	3.84	6.63
2	0.10	0.21	0.58	1.39	2.77	4.61	5.99	9.21
3	0.35	0.58	1.21	2.37	4.11	6.25	7.81	11.34
4	0.71	1.06	1.92	3.36	5.39	7.78	9.49	13.28

Table 1
Phenotype	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	78	^(78-90)²⁄ _78²	0.024
Yellow Wrinkled (Y–rr)	30	26	^(26-30)²⁄ _26²	0.024
Green Round (yyR–)	30	41	^(41-30)²⁄ _41²	0.072
Green Wrinkled (yyrr)	10	15	^(15-10)²⁄ _15²	0.111
(sum) χ² =				0.230

Table 2
Phenotype	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	78	^(78-90)²⁄ ₇₈	1.846
Yellow Wrinkled (Y–rr)	30	26	^(26-30)²⁄ ₂₆	0.615
Green Round (yyR–)	30	41	^(41-30)²⁄ ₄₁	2.951
Green Wrinkled (yyrr)	10	15	^(15-10)²⁄ ₁₅	1.667
(sum) χ² =				7.079

Table 3
Phenotype	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	78	^(78-90)²⁄ ₉₀	1.600
Yellow Wrinkled (Y–rr)	30	26	^(26-30)²⁄ ₃₀	0.533
Green Round (yyR–)	30	41	^(41-30)²⁄ ₃₀	4.033
Green Wrinkled (yyrr)	10	15	^(15-10)²⁄ ₁₀	2.500
(sum) χ² =				8.667

Before you ask your instructor for a new lab partner, tell them which table is correct AND whether they can reject or fail to reject the null hypothesis using the information provided.

Table 1 with χ² = 0.230 is correct and we REJECT the null hypothesis Incorrect Table 2 with χ² = 7.079 is correct and we REJECT the null hypothesis Incorrect Table 3 with χ² = 8.667 is correct and we REJECT the null hypothesis Correct Table 1 with χ² = 0.230 is correct and we FAIL to REJECT the null hypothesis Incorrect Table 2 with χ² = 7.079 is correct and we FAIL to REJECT the null hypothesis Incorrect Table 3 with χ² = 8.667 is correct and we FAIL to REJECT the null hypothesis Incorrect MC

ac67_c8da

Table of Chi-Squared (χ²) Critical Values
Degrees of Freedom	Probability
Degrees of Freedom	0.95	0.90	0.75	0.50	0.25	0.10	0.05	0.01
1	0.00	0.02	0.10	0.45	1.32	2.71	3.84	6.63
2	0.10	0.21	0.58	1.39	2.77	4.61	5.99	9.21
3	0.35	0.58	1.21	2.37	4.11	6.25	7.81	11.34
4	0.71	1.06	1.92	3.36	5.39	7.78	9.49	13.28

Table 1
Phenotype	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	103	^(103-90)²⁄ ₉₀	1.878
Yellow Wrinkled (Y–rr)	30	26	^(26-30)²⁄ ₃₀	0.533
Green Round (yyR–)	30	25	^(25-30)²⁄ ₃₀	0.833
Green Wrinkled (yyrr)	10	6	^(6-10)²⁄ ₁₀	1.600
(sum) χ² =				4.844

Table 2
Phenotype	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	103	^(103-90)²⁄ _103²	0.016
Yellow Wrinkled (Y–rr)	30	26	^(26-30)²⁄ _26²	0.024
Green Round (yyR–)	30	25	^(25-30)²⁄ _25²	0.040
Green Wrinkled (yyrr)	10	6	^(6-10)²⁄ _6²	0.444
(sum) χ² =				0.524

Table 3
Phenotype	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	103	^(103-90)²⁄ ₁₀₃	1.641
Yellow Wrinkled (Y–rr)	30	26	^(26-30)²⁄ ₂₆	0.615
Green Round (yyR–)	30	25	^(25-30)²⁄ ₂₅	1.000
Green Wrinkled (yyrr)	10	6	^(6-10)²⁄ ₆	2.667
(sum) χ² =				5.923

Before you ask your instructor for a new lab partner, tell them which table is correct AND whether they can reject or fail to reject the null hypothesis using the information provided.

Table 1 with χ² = 4.844 is correct and we REJECT the null hypothesis Incorrect Table 2 with χ² = 0.524 is correct and we REJECT the null hypothesis Incorrect Table 3 with χ² = 5.923 is correct and we REJECT the null hypothesis Incorrect Table 1 with χ² = 4.844 is correct and we FAIL to REJECT the null hypothesis Correct Table 2 with χ² = 0.524 is correct and we FAIL to REJECT the null hypothesis Incorrect Table 3 with χ² = 5.923 is correct and we FAIL to REJECT the null hypothesis Incorrect MC

da57_e51a

Table of Chi-Squared (χ²) Critical Values
Degrees of Freedom	Probability
Degrees of Freedom	0.95	0.90	0.75	0.50	0.25	0.10	0.05	0.01
1	0.00	0.02	0.10	0.45	1.32	2.71	3.84	6.63
2	0.10	0.21	0.58	1.39	2.77	4.61	5.99	9.21
3	0.35	0.58	1.21	2.37	4.11	6.25	7.81	11.34
4	0.71	1.06	1.92	3.36	5.39	7.78	9.49	13.28

Table 1
Phenotype	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	100	^(100-90)⁄ ₉₀	0.111
Yellow Wrinkled (Y–rr)	30	26	^(26-30)⁄ ₃₀	-0.133
Green Round (yyR–)	30	29	^(29-30)⁄ ₃₀	-0.033
Green Wrinkled (yyrr)	10	5	^(5-10)⁄ ₁₀	-0.500
(sum) χ² =				-0.556

Table 2
Phenotype	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	100	^(100-90)²⁄ ₁₀₀	1.000
Yellow Wrinkled (Y–rr)	30	26	^(26-30)²⁄ ₂₆	0.615
Green Round (yyR–)	30	29	^(29-30)²⁄ ₂₉	0.034
Green Wrinkled (yyrr)	10	5	^(5-10)²⁄ ₅	5.000
(sum) χ² =				6.650

Table 3
Phenotype	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	100	^(100-90)²⁄ ₉₀	1.111
Yellow Wrinkled (Y–rr)	30	26	^(26-30)²⁄ ₃₀	0.533
Green Round (yyR–)	30	29	^(29-30)²⁄ ₃₀	0.033
Green Wrinkled (yyrr)	10	5	^(5-10)²⁄ ₁₀	2.500
(sum) χ² =				4.178

Before you ask your instructor for a new lab partner, tell them which table is correct AND whether they can reject or fail to reject the null hypothesis using the information provided.

Table 1 with χ² = -0.556 is correct and we REJECT the null hypothesis Incorrect Table 2 with χ² = 6.650 is correct and we REJECT the null hypothesis Incorrect Table 3 with χ² = 4.178 is correct and we REJECT the null hypothesis Incorrect Table 1 with χ² = -0.556 is correct and we FAIL to REJECT the null hypothesis Incorrect Table 2 with χ² = 6.650 is correct and we FAIL to REJECT the null hypothesis Incorrect Table 3 with χ² = 4.178 is correct and we FAIL to REJECT the null hypothesis Correct MC

c5f4_09ff

Table of Chi-Squared (χ²) Critical Values
Degrees of Freedom	Probability
Degrees of Freedom	0.95	0.90	0.75	0.50	0.25	0.10	0.05	0.01
1	0.00	0.02	0.10	0.45	1.32	2.71	3.84	6.63
2	0.10	0.21	0.58	1.39	2.77	4.61	5.99	9.21
3	0.35	0.58	1.21	2.37	4.11	6.25	7.81	11.34
4	0.71	1.06	1.92	3.36	5.39	7.78	9.49	13.28

Table 1
Phenotype	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	97	^(97-90)²⁄ _97²	0.005
Yellow Wrinkled (Y–rr)	30	30	^(30-30)²⁄ _30²	0.000
Green Round (yyR–)	30	25	^(25-30)²⁄ _25²	0.040
Green Wrinkled (yyrr)	10	8	^(8-10)²⁄ _8²	0.062
(sum) χ² =				0.108

Table 2
Phenotype	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	97	^(97-90)⁄ ₉₀	0.078
Yellow Wrinkled (Y–rr)	30	30	^(30-30)⁄ ₃₀	0.000
Green Round (yyR–)	30	25	^(25-30)⁄ ₃₀	-0.167
Green Wrinkled (yyrr)	10	8	^(8-10)⁄ ₁₀	-0.200
(sum) χ² =				-0.289

Table 3
Phenotype	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	97	^(97-90)²⁄ ₉₀	0.544
Yellow Wrinkled (Y–rr)	30	30	^(30-30)²⁄ ₃₀	0.000
Green Round (yyR–)	30	25	^(25-30)²⁄ ₃₀	0.833
Green Wrinkled (yyrr)	10	8	^(8-10)²⁄ ₁₀	0.400
(sum) χ² =				1.778

Before you ask your instructor for a new lab partner, tell them which table is correct AND whether they can reject or fail to reject the null hypothesis using the information provided.

Table 1 with χ² = 0.108 is correct and we REJECT the null hypothesis Incorrect Table 2 with χ² = -0.289 is correct and we REJECT the null hypothesis Incorrect Table 3 with χ² = 1.778 is correct and we REJECT the null hypothesis Incorrect Table 1 with χ² = 0.108 is correct and we FAIL to REJECT the null hypothesis Incorrect Table 2 with χ² = -0.289 is correct and we FAIL to REJECT the null hypothesis Incorrect Table 3 with χ² = 1.778 is correct and we FAIL to REJECT the null hypothesis Correct MC

fbd9_fc35

Table of Chi-Squared (χ²) Critical Values
Degrees of Freedom	Probability
Degrees of Freedom	0.95	0.90	0.75	0.50	0.25	0.10	0.05	0.01
1	0.00	0.02	0.10	0.45	1.32	2.71	3.84	6.63
2	0.10	0.21	0.58	1.39	2.77	4.61	5.99	9.21
3	0.35	0.58	1.21	2.37	4.11	6.25	7.81	11.34
4	0.71	1.06	1.92	3.36	5.39	7.78	9.49	13.28

Table 1
Phenotype	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	85	^(85-90)²⁄ ₉₀	0.278
Yellow Wrinkled (Y–rr)	30	13	^(13-30)²⁄ ₃₀	9.633
Green Round (yyR–)	30	44	^(44-30)²⁄ ₃₀	6.533
Green Wrinkled (yyrr)	10	18	^(18-10)²⁄ ₁₀	6.400
(sum) χ² =				22.844

Table 2
Phenotype	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	85	^(85-90)⁄ ₉₀	-0.056
Yellow Wrinkled (Y–rr)	30	13	^(13-30)⁄ ₃₀	-0.567
Green Round (yyR–)	30	44	^(44-30)⁄ ₃₀	0.467
Green Wrinkled (yyrr)	10	18	^(18-10)⁄ ₁₀	0.800
(sum) χ² =				0.644

Table 3
Phenotype	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	85	^(85-90)²⁄ ₈₅	0.294
Yellow Wrinkled (Y–rr)	30	13	^(13-30)²⁄ ₁₃	22.231
Green Round (yyR–)	30	44	^(44-30)²⁄ ₄₄	4.455
Green Wrinkled (yyrr)	10	18	^(18-10)²⁄ ₁₈	3.556
(sum) χ² =				30.535

Before you ask your instructor for a new lab partner, tell them which table is correct AND whether they can reject or fail to reject the null hypothesis using the information provided.

Table 1 with χ² = 22.844 is correct and we REJECT the null hypothesis Correct Table 2 with χ² = 0.644 is correct and we REJECT the null hypothesis Incorrect Table 3 with χ² = 30.535 is correct and we REJECT the null hypothesis Incorrect Table 1 with χ² = 22.844 is correct and we FAIL to REJECT the null hypothesis Incorrect Table 2 with χ² = 0.644 is correct and we FAIL to REJECT the null hypothesis Incorrect Table 3 with χ² = 30.535 is correct and we FAIL to REJECT the null hypothesis Incorrect MC

5174_761c

Table of Chi-Squared (χ²) Critical Values
Degrees of Freedom	Probability
Degrees of Freedom	0.95	0.90	0.75	0.50	0.25	0.10	0.05	0.01
1	0.00	0.02	0.10	0.45	1.32	2.71	3.84	6.63
2	0.10	0.21	0.58	1.39	2.77	4.61	5.99	9.21
3	0.35	0.58	1.21	2.37	4.11	6.25	7.81	11.34
4	0.71	1.06	1.92	3.36	5.39	7.78	9.49	13.28

Table 1
Phenotype	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	87	^(87-90)²⁄ ₈₇	0.103
Yellow Wrinkled (Y–rr)	30	29	^(29-30)²⁄ ₂₉	0.034
Green Round (yyR–)	30	31	^(31-30)²⁄ ₃₁	0.032
Green Wrinkled (yyrr)	10	13	^(13-10)²⁄ ₁₃	0.692
(sum) χ² =				0.862

Table 2
Phenotype	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	87	^(87-90)²⁄ _87²	0.001
Yellow Wrinkled (Y–rr)	30	29	^(29-30)²⁄ _29²	0.001
Green Round (yyR–)	30	31	^(31-30)²⁄ _31²	0.001
Green Wrinkled (yyrr)	10	13	^(13-10)²⁄ _13²	0.053
(sum) χ² =				0.057

Table 3
Phenotype	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	87	^(87-90)²⁄ ₉₀	0.100
Yellow Wrinkled (Y–rr)	30	29	^(29-30)²⁄ ₃₀	0.033
Green Round (yyR–)	30	31	^(31-30)²⁄ ₃₀	0.033
Green Wrinkled (yyrr)	10	13	^(13-10)²⁄ ₁₀	0.900
(sum) χ² =				1.067

Before you ask your instructor for a new lab partner, tell them which table is correct AND whether they can reject or fail to reject the null hypothesis using the information provided.

Table 1 with χ² = 0.862 is correct and we REJECT the null hypothesis Incorrect Table 2 with χ² = 0.057 is correct and we REJECT the null hypothesis Incorrect Table 3 with χ² = 1.067 is correct and we REJECT the null hypothesis Incorrect Table 1 with χ² = 0.862 is correct and we FAIL to REJECT the null hypothesis Incorrect Table 2 with χ² = 0.057 is correct and we FAIL to REJECT the null hypothesis Incorrect Table 3 with χ² = 1.067 is correct and we FAIL to REJECT the null hypothesis Correct MC

d063_c7f8

Table of Chi-Squared (χ²) Critical Values
Degrees of Freedom	Probability
Degrees of Freedom	0.95	0.90	0.75	0.50	0.25	0.10	0.05	0.01
1	0.00	0.02	0.10	0.45	1.32	2.71	3.84	6.63
2	0.10	0.21	0.58	1.39	2.77	4.61	5.99	9.21
3	0.35	0.58	1.21	2.37	4.11	6.25	7.81	11.34
4	0.71	1.06	1.92	3.36	5.39	7.78	9.49	13.28

Table 1
Phenotype	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	99	^(99-90)²⁄ _99²	0.008
Yellow Wrinkled (Y–rr)	30	24	^(24-30)²⁄ _24²	0.062
Green Round (yyR–)	30	32	^(32-30)²⁄ _32²	0.004
Green Wrinkled (yyrr)	10	5	^(5-10)²⁄ _5²	1.000
(sum) χ² =				1.075

Table 2
Phenotype	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	99	^(99-90)²⁄ ₉₀	0.900
Yellow Wrinkled (Y–rr)	30	24	^(24-30)²⁄ ₃₀	1.200
Green Round (yyR–)	30	32	^(32-30)²⁄ ₃₀	0.133
Green Wrinkled (yyrr)	10	5	^(5-10)²⁄ ₁₀	2.500
(sum) χ² =				4.733

Table 3
Phenotype	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	99	^(99-90)⁄ ₉₀	0.100
Yellow Wrinkled (Y–rr)	30	24	^(24-30)⁄ ₃₀	-0.200
Green Round (yyR–)	30	32	^(32-30)⁄ ₃₀	0.067
Green Wrinkled (yyrr)	10	5	^(5-10)⁄ ₁₀	-0.500
(sum) χ² =				-0.533

Before you ask your instructor for a new lab partner, tell them which table is correct AND whether they can reject or fail to reject the null hypothesis using the information provided.

Table 1 with χ² = 1.075 is correct and we REJECT the null hypothesis Incorrect Table 2 with χ² = 4.733 is correct and we REJECT the null hypothesis Incorrect Table 3 with χ² = -0.533 is correct and we REJECT the null hypothesis Incorrect Table 1 with χ² = 1.075 is correct and we FAIL to REJECT the null hypothesis Incorrect Table 2 with χ² = 4.733 is correct and we FAIL to REJECT the null hypothesis Correct Table 3 with χ² = -0.533 is correct and we FAIL to REJECT the null hypothesis Incorrect MC

3ba9_a699

Table of Chi-Squared (χ²) Critical Values
Degrees of Freedom	Probability
Degrees of Freedom	0.95	0.90	0.75	0.50	0.25	0.10	0.05	0.01
1	0.00	0.02	0.10	0.45	1.32	2.71	3.84	6.63
2	0.10	0.21	0.58	1.39	2.77	4.61	5.99	9.21
3	0.35	0.58	1.21	2.37	4.11	6.25	7.81	11.34
4	0.71	1.06	1.92	3.36	5.39	7.78	9.49	13.28

Table 1
Phenotype	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	73	^(73-90)²⁄ ₇₃	3.959
Yellow Wrinkled (Y–rr)	30	17	^(17-30)²⁄ ₁₇	9.941
Green Round (yyR–)	30	56	^(56-30)²⁄ ₅₆	12.071
Green Wrinkled (yyrr)	10	14	^(14-10)²⁄ ₁₄	1.143
(sum) χ² =				27.114

Table 2
Phenotype	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	73	^(73-90)²⁄ ₉₀	3.211
Yellow Wrinkled (Y–rr)	30	17	^(17-30)²⁄ ₃₀	5.633
Green Round (yyR–)	30	56	^(56-30)²⁄ ₃₀	22.533
Green Wrinkled (yyrr)	10	14	^(14-10)²⁄ ₁₀	1.600
(sum) χ² =				32.978

Table 3
Phenotype	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	73	^(73-90)⁄ ₉₀	-0.189
Yellow Wrinkled (Y–rr)	30	17	^(17-30)⁄ ₃₀	-0.433
Green Round (yyR–)	30	56	^(56-30)⁄ ₃₀	0.867
Green Wrinkled (yyrr)	10	14	^(14-10)⁄ ₁₀	0.400
(sum) χ² =				0.644

Before you ask your instructor for a new lab partner, tell them which table is correct AND whether they can reject or fail to reject the null hypothesis using the information provided.

Table 1 with χ² = 27.114 is correct and we REJECT the null hypothesis Incorrect Table 2 with χ² = 32.978 is correct and we REJECT the null hypothesis Correct Table 3 with χ² = 0.644 is correct and we REJECT the null hypothesis Incorrect Table 1 with χ² = 27.114 is correct and we FAIL to REJECT the null hypothesis Incorrect Table 2 with χ² = 32.978 is correct and we FAIL to REJECT the null hypothesis Incorrect Table 3 with χ² = 0.644 is correct and we FAIL to REJECT the null hypothesis Incorrect MC

7329_88c3

Table of Chi-Squared (χ²) Critical Values
Degrees of Freedom	Probability
Degrees of Freedom	0.95	0.90	0.75	0.50	0.25	0.10	0.05	0.01
1	0.00	0.02	0.10	0.45	1.32	2.71	3.84	6.63
2	0.10	0.21	0.58	1.39	2.77	4.61	5.99	9.21
3	0.35	0.58	1.21	2.37	4.11	6.25	7.81	11.34
4	0.71	1.06	1.92	3.36	5.39	7.78	9.49	13.28

Table 1
Phenotype	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	75	^(75-90)²⁄ _75²	0.040
Yellow Wrinkled (Y–rr)	30	22	^(22-30)²⁄ _22²	0.132
Green Round (yyR–)	30	46	^(46-30)²⁄ _46²	0.121
Green Wrinkled (yyrr)	10	17	^(17-10)²⁄ _17²	0.170
(sum) χ² =				0.463

Table 2
Phenotype	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	75	^(75-90)²⁄ ₉₀	2.500
Yellow Wrinkled (Y–rr)	30	22	^(22-30)²⁄ ₃₀	2.133
Green Round (yyR–)	30	46	^(46-30)²⁄ ₃₀	8.533
Green Wrinkled (yyrr)	10	17	^(17-10)²⁄ ₁₀	4.900
(sum) χ² =				18.067

Table 3
Phenotype	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	75	^(75-90)⁄ ₉₀	-0.167
Yellow Wrinkled (Y–rr)	30	22	^(22-30)⁄ ₃₀	-0.267
Green Round (yyR–)	30	46	^(46-30)⁄ ₃₀	0.533
Green Wrinkled (yyrr)	10	17	^(17-10)⁄ ₁₀	0.700
(sum) χ² =				0.800

Before you ask your instructor for a new lab partner, tell them which table is correct AND whether they can reject or fail to reject the null hypothesis using the information provided.

Table 1 with χ² = 0.463 is correct and we REJECT the null hypothesis Incorrect Table 2 with χ² = 18.067 is correct and we REJECT the null hypothesis Correct Table 3 with χ² = 0.800 is correct and we REJECT the null hypothesis Incorrect Table 1 with χ² = 0.463 is correct and we FAIL to REJECT the null hypothesis Incorrect Table 2 with χ² = 18.067 is correct and we FAIL to REJECT the null hypothesis Incorrect Table 3 with χ² = 0.800 is correct and we FAIL to REJECT the null hypothesis Incorrect MC

6ba3_85ef

Table of Chi-Squared (χ²) Critical Values
Degrees of Freedom	Probability
Degrees of Freedom	0.95	0.90	0.75	0.50	0.25	0.10	0.05	0.01
1	0.00	0.02	0.10	0.45	1.32	2.71	3.84	6.63
2	0.10	0.21	0.58	1.39	2.77	4.61	5.99	9.21
3	0.35	0.58	1.21	2.37	4.11	6.25	7.81	11.34
4	0.71	1.06	1.92	3.36	5.39	7.78	9.49	13.28

Table 1
Phenotype	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	104	^(104-90)²⁄ _104²	0.018
Yellow Wrinkled (Y–rr)	30	30	^(30-30)²⁄ _30²	0.000
Green Round (yyR–)	30	20	^(20-30)²⁄ _20²	0.250
Green Wrinkled (yyrr)	10	6	^(6-10)²⁄ _6²	0.444
(sum) χ² =				0.713

Table 2
Phenotype	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	104	^(104-90)⁄ ₉₀	0.156
Yellow Wrinkled (Y–rr)	30	30	^(30-30)⁄ ₃₀	0.000
Green Round (yyR–)	30	20	^(20-30)⁄ ₃₀	-0.333
Green Wrinkled (yyrr)	10	6	^(6-10)⁄ ₁₀	-0.400
(sum) χ² =				-0.578

Table 3
Phenotype	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	104	^(104-90)²⁄ ₉₀	2.178
Yellow Wrinkled (Y–rr)	30	30	^(30-30)²⁄ ₃₀	0.000
Green Round (yyR–)	30	20	^(20-30)²⁄ ₃₀	3.333
Green Wrinkled (yyrr)	10	6	^(6-10)²⁄ ₁₀	1.600
(sum) χ² =				7.111

Before you ask your instructor for a new lab partner, tell them which table is correct AND whether they can reject or fail to reject the null hypothesis using the information provided.

Table 1 with χ² = 0.713 is correct and we REJECT the null hypothesis Incorrect Table 2 with χ² = -0.578 is correct and we REJECT the null hypothesis Incorrect Table 3 with χ² = 7.111 is correct and we REJECT the null hypothesis Incorrect Table 1 with χ² = 0.713 is correct and we FAIL to REJECT the null hypothesis Incorrect Table 2 with χ² = -0.578 is correct and we FAIL to REJECT the null hypothesis Incorrect Table 3 with χ² = 7.111 is correct and we FAIL to REJECT the null hypothesis Correct MC

bf2b_26ae

Table of Chi-Squared (χ²) Critical Values
Degrees of Freedom	Probability
Degrees of Freedom	0.95	0.90	0.75	0.50	0.25	0.10	0.05	0.01
1	0.00	0.02	0.10	0.45	1.32	2.71	3.84	6.63
2	0.10	0.21	0.58	1.39	2.77	4.61	5.99	9.21
3	0.35	0.58	1.21	2.37	4.11	6.25	7.81	11.34
4	0.71	1.06	1.92	3.36	5.39	7.78	9.49	13.28

Table 1
Phenotype	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	103	^(103-90)⁄ ₉₀	0.144
Yellow Wrinkled (Y–rr)	30	25	^(25-30)⁄ ₃₀	-0.167
Green Round (yyR–)	30	24	^(24-30)⁄ ₃₀	-0.200
Green Wrinkled (yyrr)	10	8	^(8-10)⁄ ₁₀	-0.200
(sum) χ² =				-0.422

Table 2
Phenotype	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	103	^(103-90)²⁄ ₁₀₃	1.641
Yellow Wrinkled (Y–rr)	30	25	^(25-30)²⁄ ₂₅	1.000
Green Round (yyR–)	30	24	^(24-30)²⁄ ₂₄	1.500
Green Wrinkled (yyrr)	10	8	^(8-10)²⁄ ₈	0.500
(sum) χ² =				4.641

Table 3
Phenotype	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	103	^(103-90)²⁄ ₉₀	1.878
Yellow Wrinkled (Y–rr)	30	25	^(25-30)²⁄ ₃₀	0.833
Green Round (yyR–)	30	24	^(24-30)²⁄ ₃₀	1.200
Green Wrinkled (yyrr)	10	8	^(8-10)²⁄ ₁₀	0.400
(sum) χ² =				4.311

Before you ask your instructor for a new lab partner, tell them which table is correct AND whether they can reject or fail to reject the null hypothesis using the information provided.

Table 1 with χ² = -0.422 is correct and we REJECT the null hypothesis Incorrect Table 2 with χ² = 4.641 is correct and we REJECT the null hypothesis Incorrect Table 3 with χ² = 4.311 is correct and we REJECT the null hypothesis Incorrect Table 1 with χ² = -0.422 is correct and we FAIL to REJECT the null hypothesis Incorrect Table 2 with χ² = 4.641 is correct and we FAIL to REJECT the null hypothesis Incorrect Table 3 with χ² = 4.311 is correct and we FAIL to REJECT the null hypothesis Correct MC

1e1b_92e5

Table of Chi-Squared (χ²) Critical Values
Degrees of Freedom	Probability
Degrees of Freedom	0.95	0.90	0.75	0.50	0.25	0.10	0.05	0.01
1	0.00	0.02	0.10	0.45	1.32	2.71	3.84	6.63
2	0.10	0.21	0.58	1.39	2.77	4.61	5.99	9.21
3	0.35	0.58	1.21	2.37	4.11	6.25	7.81	11.34
4	0.71	1.06	1.92	3.36	5.39	7.78	9.49	13.28

Table 1
Phenotype	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	85	^(85-90)²⁄ ₉₀	0.278
Yellow Wrinkled (Y–rr)	30	17	^(17-30)²⁄ ₃₀	5.633
Green Round (yyR–)	30	41	^(41-30)²⁄ ₃₀	4.033
Green Wrinkled (yyrr)	10	17	^(17-10)²⁄ ₁₀	4.900
(sum) χ² =				14.844

Table 2
Phenotype	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	85	^(85-90)⁄ ₉₀	-0.056
Yellow Wrinkled (Y–rr)	30	17	^(17-30)⁄ ₃₀	-0.433
Green Round (yyR–)	30	41	^(41-30)⁄ ₃₀	0.367
Green Wrinkled (yyrr)	10	17	^(17-10)⁄ ₁₀	0.700
(sum) χ² =				0.578

Table 3
Phenotype	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	85	^(85-90)²⁄ ₈₅	0.294
Yellow Wrinkled (Y–rr)	30	17	^(17-30)²⁄ ₁₇	9.941
Green Round (yyR–)	30	41	^(41-30)²⁄ ₄₁	2.951
Green Wrinkled (yyrr)	10	17	^(17-10)²⁄ ₁₇	2.882
(sum) χ² =				16.069

Before you ask your instructor for a new lab partner, tell them which table is correct AND whether they can reject or fail to reject the null hypothesis using the information provided.

Table 1 with χ² = 14.844 is correct and we REJECT the null hypothesis Correct Table 2 with χ² = 0.578 is correct and we REJECT the null hypothesis Incorrect Table 3 with χ² = 16.069 is correct and we REJECT the null hypothesis Incorrect Table 1 with χ² = 14.844 is correct and we FAIL to REJECT the null hypothesis Incorrect Table 2 with χ² = 0.578 is correct and we FAIL to REJECT the null hypothesis Incorrect Table 3 with χ² = 16.069 is correct and we FAIL to REJECT the null hypothesis Incorrect MC

45f7_2d00

Table of Chi-Squared (χ²) Critical Values
Degrees of Freedom	Probability
Degrees of Freedom	0.95	0.90	0.75	0.50	0.25	0.10	0.05	0.01
1	0.00	0.02	0.10	0.45	1.32	2.71	3.84	6.63
2	0.10	0.21	0.58	1.39	2.77	4.61	5.99	9.21
3	0.35	0.58	1.21	2.37	4.11	6.25	7.81	11.34
4	0.71	1.06	1.92	3.36	5.39	7.78	9.49	13.28

Table 1
Phenotype	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	83	^(83-90)²⁄ ₈₃	0.590
Yellow Wrinkled (Y–rr)	30	32	^(32-30)²⁄ ₃₂	0.125
Green Round (yyR–)	30	33	^(33-30)²⁄ ₃₃	0.273
Green Wrinkled (yyrr)	10	12	^(12-10)²⁄ ₁₂	0.333
(sum) χ² =				1.321

Table 2
Phenotype	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	83	^(83-90)²⁄ ₉₀	0.544
Yellow Wrinkled (Y–rr)	30	32	^(32-30)²⁄ ₃₀	0.133
Green Round (yyR–)	30	33	^(33-30)²⁄ ₃₀	0.300
Green Wrinkled (yyrr)	10	12	^(12-10)²⁄ ₁₀	0.400
(sum) χ² =				1.378

Table 3
Phenotype	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	83	^(83-90)⁄ ₉₀	-0.078
Yellow Wrinkled (Y–rr)	30	32	^(32-30)⁄ ₃₀	0.067
Green Round (yyR–)	30	33	^(33-30)⁄ ₃₀	0.100
Green Wrinkled (yyrr)	10	12	^(12-10)⁄ ₁₀	0.200
(sum) χ² =				0.289

Before you ask your instructor for a new lab partner, tell them which table is correct AND whether they can reject or fail to reject the null hypothesis using the information provided.

Table 1 with χ² = 1.321 is correct and we REJECT the null hypothesis Incorrect Table 2 with χ² = 1.378 is correct and we REJECT the null hypothesis Incorrect Table 3 with χ² = 0.289 is correct and we REJECT the null hypothesis Incorrect Table 1 with χ² = 1.321 is correct and we FAIL to REJECT the null hypothesis Incorrect Table 2 with χ² = 1.378 is correct and we FAIL to REJECT the null hypothesis Correct Table 3 with χ² = 0.289 is correct and we FAIL to REJECT the null hypothesis Incorrect MC

8125_3d3d

Table of Chi-Squared (χ²) Critical Values
Degrees of Freedom	Probability
Degrees of Freedom	0.95	0.90	0.75	0.50	0.25	0.10	0.05	0.01
1	0.00	0.02	0.10	0.45	1.32	2.71	3.84	6.63
2	0.10	0.21	0.58	1.39	2.77	4.61	5.99	9.21
3	0.35	0.58	1.21	2.37	4.11	6.25	7.81	11.34
4	0.71	1.06	1.92	3.36	5.39	7.78	9.49	13.28

Table 1
Phenotype	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	84	^(84-90)²⁄ ₉₀	0.400
Yellow Wrinkled (Y–rr)	30	18	^(18-30)²⁄ ₃₀	4.800
Green Round (yyR–)	30	43	^(43-30)²⁄ ₃₀	5.633
Green Wrinkled (yyrr)	10	15	^(15-10)²⁄ ₁₀	2.500
(sum) χ² =				13.333

Table 2
Phenotype	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	84	^(84-90)²⁄ _84²	0.005
Yellow Wrinkled (Y–rr)	30	18	^(18-30)²⁄ _18²	0.444
Green Round (yyR–)	30	43	^(43-30)²⁄ _43²	0.091
Green Wrinkled (yyrr)	10	15	^(15-10)²⁄ _15²	0.111
(sum) χ² =				0.652

Table 3
Phenotype	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	84	^(84-90)⁄ ₉₀	-0.067
Yellow Wrinkled (Y–rr)	30	18	^(18-30)⁄ ₃₀	-0.400
Green Round (yyR–)	30	43	^(43-30)⁄ ₃₀	0.433
Green Wrinkled (yyrr)	10	15	^(15-10)⁄ ₁₀	0.500
(sum) χ² =				0.467

Before you ask your instructor for a new lab partner, tell them which table is correct AND whether they can reject or fail to reject the null hypothesis using the information provided.

Table 1 with χ² = 13.333 is correct and we REJECT the null hypothesis Correct Table 2 with χ² = 0.652 is correct and we REJECT the null hypothesis Incorrect Table 3 with χ² = 0.467 is correct and we REJECT the null hypothesis Incorrect Table 1 with χ² = 13.333 is correct and we FAIL to REJECT the null hypothesis Incorrect Table 2 with χ² = 0.652 is correct and we FAIL to REJECT the null hypothesis Incorrect Table 3 with χ² = 0.467 is correct and we FAIL to REJECT the null hypothesis Incorrect MC

3ef7_a922

Table of Chi-Squared (χ²) Critical Values
Degrees of Freedom	Probability
Degrees of Freedom	0.95	0.90	0.75	0.50	0.25	0.10	0.05	0.01
1	0.00	0.02	0.10	0.45	1.32	2.71	3.84	6.63
2	0.10	0.21	0.58	1.39	2.77	4.61	5.99	9.21
3	0.35	0.58	1.21	2.37	4.11	6.25	7.81	11.34
4	0.71	1.06	1.92	3.36	5.39	7.78	9.49	13.28

Table 1
Phenotype	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	80	^(80-90)²⁄ ₉₀	1.111
Yellow Wrinkled (Y–rr)	30	24	^(24-30)²⁄ ₃₀	1.200
Green Round (yyR–)	30	40	^(40-30)²⁄ ₃₀	3.333
Green Wrinkled (yyrr)	10	16	^(16-10)²⁄ ₁₀	3.600
(sum) χ² =				9.244

Table 2
Phenotype	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	80	^(80-90)²⁄ ₈₀	1.250
Yellow Wrinkled (Y–rr)	30	24	^(24-30)²⁄ ₂₄	1.500
Green Round (yyR–)	30	40	^(40-30)²⁄ ₄₀	2.500
Green Wrinkled (yyrr)	10	16	^(16-10)²⁄ ₁₆	2.250
(sum) χ² =				7.500

Table 3
Phenotype	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	80	^(80-90)⁄ ₉₀	-0.111
Yellow Wrinkled (Y–rr)	30	24	^(24-30)⁄ ₃₀	-0.200
Green Round (yyR–)	30	40	^(40-30)⁄ ₃₀	0.333
Green Wrinkled (yyrr)	10	16	^(16-10)⁄ ₁₀	0.600
(sum) χ² =				0.622

Before you ask your instructor for a new lab partner, tell them which table is correct AND whether they can reject or fail to reject the null hypothesis using the information provided.

Table 1 with χ² = 9.244 is correct and we REJECT the null hypothesis Correct Table 2 with χ² = 7.500 is correct and we REJECT the null hypothesis Incorrect Table 3 with χ² = 0.622 is correct and we REJECT the null hypothesis Incorrect Table 1 with χ² = 9.244 is correct and we FAIL to REJECT the null hypothesis Incorrect Table 2 with χ² = 7.500 is correct and we FAIL to REJECT the null hypothesis Incorrect Table 3 with χ² = 0.622 is correct and we FAIL to REJECT the null hypothesis Incorrect MC

e45a_85b5

Table of Chi-Squared (χ²) Critical Values
Degrees of Freedom	Probability
Degrees of Freedom	0.95	0.90	0.75	0.50	0.25	0.10	0.05	0.01
1	0.00	0.02	0.10	0.45	1.32	2.71	3.84	6.63
2	0.10	0.21	0.58	1.39	2.77	4.61	5.99	9.21
3	0.35	0.58	1.21	2.37	4.11	6.25	7.81	11.34
4	0.71	1.06	1.92	3.36	5.39	7.78	9.49	13.28

Table 1
Phenotype	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	102	^(102-90)²⁄ ₉₀	1.600
Yellow Wrinkled (Y–rr)	30	25	^(25-30)²⁄ ₃₀	0.833
Green Round (yyR–)	30	27	^(27-30)²⁄ ₃₀	0.300
Green Wrinkled (yyrr)	10	6	^(6-10)²⁄ ₁₀	1.600
(sum) χ² =				4.333

Table 2
Phenotype	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	102	^(102-90)²⁄ ₁₀₂	1.412
Yellow Wrinkled (Y–rr)	30	25	^(25-30)²⁄ ₂₅	1.000
Green Round (yyR–)	30	27	^(27-30)²⁄ ₂₇	0.333
Green Wrinkled (yyrr)	10	6	^(6-10)²⁄ ₆	2.667
(sum) χ² =				5.412

Table 3
Phenotype	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	102	^(102-90)²⁄ _102²	0.014
Yellow Wrinkled (Y–rr)	30	25	^(25-30)²⁄ _25²	0.040
Green Round (yyR–)	30	27	^(27-30)²⁄ _27²	0.012
Green Wrinkled (yyrr)	10	6	^(6-10)²⁄ _6²	0.444
(sum) χ² =				0.511

Before you ask your instructor for a new lab partner, tell them which table is correct AND whether they can reject or fail to reject the null hypothesis using the information provided.

Table 1 with χ² = 4.333 is correct and we REJECT the null hypothesis Incorrect Table 2 with χ² = 5.412 is correct and we REJECT the null hypothesis Incorrect Table 3 with χ² = 0.511 is correct and we REJECT the null hypothesis Incorrect Table 1 with χ² = 4.333 is correct and we FAIL to REJECT the null hypothesis Correct Table 2 with χ² = 5.412 is correct and we FAIL to REJECT the null hypothesis Incorrect Table 3 with χ² = 0.511 is correct and we FAIL to REJECT the null hypothesis Incorrect MC

78ce_5cdd

Table of Chi-Squared (χ²) Critical Values
Degrees of Freedom	Probability
Degrees of Freedom	0.95	0.90	0.75	0.50	0.25	0.10	0.05	0.01
1	0.00	0.02	0.10	0.45	1.32	2.71	3.84	6.63
2	0.10	0.21	0.58	1.39	2.77	4.61	5.99	9.21
3	0.35	0.58	1.21	2.37	4.11	6.25	7.81	11.34
4	0.71	1.06	1.92	3.36	5.39	7.78	9.49	13.28

Table 1
Phenotype	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	76	^(76-90)⁄ ₉₀	-0.156
Yellow Wrinkled (Y–rr)	30	20	^(20-30)⁄ ₃₀	-0.333
Green Round (yyR–)	30	46	^(46-30)⁄ ₃₀	0.533
Green Wrinkled (yyrr)	10	18	^(18-10)⁄ ₁₀	0.800
(sum) χ² =				0.844

Table 2
Phenotype	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	76	^(76-90)²⁄ ₉₀	2.178
Yellow Wrinkled (Y–rr)	30	20	^(20-30)²⁄ ₃₀	3.333
Green Round (yyR–)	30	46	^(46-30)²⁄ ₃₀	8.533
Green Wrinkled (yyrr)	10	18	^(18-10)²⁄ ₁₀	6.400
(sum) χ² =				20.444

Table 3
Phenotype	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	76	^(76-90)²⁄ ₇₆	2.579
Yellow Wrinkled (Y–rr)	30	20	^(20-30)²⁄ ₂₀	5.000
Green Round (yyR–)	30	46	^(46-30)²⁄ ₄₆	5.565
Green Wrinkled (yyrr)	10	18	^(18-10)²⁄ ₁₈	3.556
(sum) χ² =				16.700

Before you ask your instructor for a new lab partner, tell them which table is correct AND whether they can reject or fail to reject the null hypothesis using the information provided.

Table 1 with χ² = 0.844 is correct and we REJECT the null hypothesis Incorrect Table 2 with χ² = 20.444 is correct and we REJECT the null hypothesis Correct Table 3 with χ² = 16.700 is correct and we REJECT the null hypothesis Incorrect Table 1 with χ² = 0.844 is correct and we FAIL to REJECT the null hypothesis Incorrect Table 2 with χ² = 20.444 is correct and we FAIL to REJECT the null hypothesis Incorrect Table 3 with χ² = 16.700 is correct and we FAIL to REJECT the null hypothesis Incorrect MC

29a1_61f2

Table of Chi-Squared (χ²) Critical Values
Degrees of Freedom	Probability
Degrees of Freedom	0.95	0.90	0.75	0.50	0.25	0.10	0.05	0.01
1	0.00	0.02	0.10	0.45	1.32	2.71	3.84	6.63
2	0.10	0.21	0.58	1.39	2.77	4.61	5.99	9.21
3	0.35	0.58	1.21	2.37	4.11	6.25	7.81	11.34
4	0.71	1.06	1.92	3.36	5.39	7.78	9.49	13.28

Table 1
Phenotype	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	84	^(84-90)²⁄ ₉₀	0.400
Yellow Wrinkled (Y–rr)	30	39	^(39-30)²⁄ ₃₀	2.700
Green Round (yyR–)	30	29	^(29-30)²⁄ ₃₀	0.033
Green Wrinkled (yyrr)	10	8	^(8-10)²⁄ ₁₀	0.400
(sum) χ² =				3.533

Table 2
Phenotype	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	84	^(84-90)⁄ ₉₀	-0.067
Yellow Wrinkled (Y–rr)	30	39	^(39-30)⁄ ₃₀	0.300
Green Round (yyR–)	30	29	^(29-30)⁄ ₃₀	-0.033
Green Wrinkled (yyrr)	10	8	^(8-10)⁄ ₁₀	-0.200
(sum) χ² =				0.000

Table 3
Phenotype	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	84	^(84-90)²⁄ _84²	0.005
Yellow Wrinkled (Y–rr)	30	39	^(39-30)²⁄ _39²	0.053
Green Round (yyR–)	30	29	^(29-30)²⁄ _29²	0.001
Green Wrinkled (yyrr)	10	8	^(8-10)²⁄ _8²	0.062
(sum) χ² =				0.122

Before you ask your instructor for a new lab partner, tell them which table is correct AND whether they can reject or fail to reject the null hypothesis using the information provided.

Table 1 with χ² = 3.533 is correct and we REJECT the null hypothesis Incorrect Table 2 with χ² = 0.000 is correct and we REJECT the null hypothesis Incorrect Table 3 with χ² = 0.122 is correct and we REJECT the null hypothesis Incorrect Table 1 with χ² = 3.533 is correct and we FAIL to REJECT the null hypothesis Correct Table 2 with χ² = 0.000 is correct and we FAIL to REJECT the null hypothesis Incorrect Table 3 with χ² = 0.122 is correct and we FAIL to REJECT the null hypothesis Incorrect MC

e4b2_d35d

Table of Chi-Squared (χ²) Critical Values
Degrees of Freedom	Probability
Degrees of Freedom	0.95	0.90	0.75	0.50	0.25	0.10	0.05	0.01
1	0.00	0.02	0.10	0.45	1.32	2.71	3.84	6.63
2	0.10	0.21	0.58	1.39	2.77	4.61	5.99	9.21
3	0.35	0.58	1.21	2.37	4.11	6.25	7.81	11.34
4	0.71	1.06	1.92	3.36	5.39	7.78	9.49	13.28

Table 1
Phenotype	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	77	^(77-90)²⁄ ₉₀	1.878
Yellow Wrinkled (Y–rr)	30	39	^(39-30)²⁄ ₃₀	2.700
Green Round (yyR–)	30	37	^(37-30)²⁄ ₃₀	1.633
Green Wrinkled (yyrr)	10	7	^(7-10)²⁄ ₁₀	0.900
(sum) χ² =				7.111

Table 2
Phenotype	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	77	^(77-90)²⁄ ₇₇	2.195
Yellow Wrinkled (Y–rr)	30	39	^(39-30)²⁄ ₃₉	2.077
Green Round (yyR–)	30	37	^(37-30)²⁄ ₃₇	1.324
Green Wrinkled (yyrr)	10	7	^(7-10)²⁄ ₇	1.286
(sum) χ² =				6.882

Table 3
Phenotype	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	77	^(77-90)²⁄ _77²	0.029
Yellow Wrinkled (Y–rr)	30	39	^(39-30)²⁄ _39²	0.053
Green Round (yyR–)	30	37	^(37-30)²⁄ _37²	0.036
Green Wrinkled (yyrr)	10	7	^(7-10)²⁄ _7²	0.184
(sum) χ² =				0.301

Before you ask your instructor for a new lab partner, tell them which table is correct AND whether they can reject or fail to reject the null hypothesis using the information provided.

Table 1 with χ² = 7.111 is correct and we REJECT the null hypothesis Incorrect Table 2 with χ² = 6.882 is correct and we REJECT the null hypothesis Incorrect Table 3 with χ² = 0.301 is correct and we REJECT the null hypothesis Incorrect Table 1 with χ² = 7.111 is correct and we FAIL to REJECT the null hypothesis Correct Table 2 with χ² = 6.882 is correct and we FAIL to REJECT the null hypothesis Incorrect Table 3 with χ² = 0.301 is correct and we FAIL to REJECT the null hypothesis Incorrect MC

ceba_59e4

Table of Chi-Squared (χ²) Critical Values
Degrees of Freedom	Probability
Degrees of Freedom	0.95	0.90	0.75	0.50	0.25	0.10	0.05	0.01
1	0.00	0.02	0.10	0.45	1.32	2.71	3.84	6.63
2	0.10	0.21	0.58	1.39	2.77	4.61	5.99	9.21
3	0.35	0.58	1.21	2.37	4.11	6.25	7.81	11.34
4	0.71	1.06	1.92	3.36	5.39	7.78	9.49	13.28

Table 1
Phenotype	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	94	^(94-90)²⁄ ₉₀	0.178
Yellow Wrinkled (Y–rr)	30	16	^(16-30)²⁄ ₃₀	6.533
Green Round (yyR–)	30	34	^(34-30)²⁄ ₃₀	0.533
Green Wrinkled (yyrr)	10	16	^(16-10)²⁄ ₁₀	3.600
(sum) χ² =				10.844

Table 2
Phenotype	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	94	^(94-90)²⁄ _94²	0.002
Yellow Wrinkled (Y–rr)	30	16	^(16-30)²⁄ _16²	0.766
Green Round (yyR–)	30	34	^(34-30)²⁄ _34²	0.014
Green Wrinkled (yyrr)	10	16	^(16-10)²⁄ _16²	0.141
(sum) χ² =				0.922

Table 3
Phenotype	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	94	^(94-90)²⁄ ₉₄	0.170
Yellow Wrinkled (Y–rr)	30	16	^(16-30)²⁄ ₁₆	12.250
Green Round (yyR–)	30	34	^(34-30)²⁄ ₃₄	0.471
Green Wrinkled (yyrr)	10	16	^(16-10)²⁄ ₁₆	2.250
(sum) χ² =				15.141

Before you ask your instructor for a new lab partner, tell them which table is correct AND whether they can reject or fail to reject the null hypothesis using the information provided.

Table 1 with χ² = 10.844 is correct and we REJECT the null hypothesis Correct Table 2 with χ² = 0.922 is correct and we REJECT the null hypothesis Incorrect Table 3 with χ² = 15.141 is correct and we REJECT the null hypothesis Incorrect Table 1 with χ² = 10.844 is correct and we FAIL to REJECT the null hypothesis Incorrect Table 2 with χ² = 0.922 is correct and we FAIL to REJECT the null hypothesis Incorrect Table 3 with χ² = 15.141 is correct and we FAIL to REJECT the null hypothesis Incorrect MC

32c6_ed3f

Table of Chi-Squared (χ²) Critical Values
Degrees of Freedom	Probability
Degrees of Freedom	0.95	0.90	0.75	0.50	0.25	0.10	0.05	0.01
1	0.00	0.02	0.10	0.45	1.32	2.71	3.84	6.63
2	0.10	0.21	0.58	1.39	2.77	4.61	5.99	9.21
3	0.35	0.58	1.21	2.37	4.11	6.25	7.81	11.34
4	0.71	1.06	1.92	3.36	5.39	7.78	9.49	13.28

Table 1
Phenotype	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	104	^(104-90)²⁄ ₁₀₄	1.885
Yellow Wrinkled (Y–rr)	30	25	^(25-30)²⁄ ₂₅	1.000
Green Round (yyR–)	30	25	^(25-30)²⁄ ₂₅	1.000
Green Wrinkled (yyrr)	10	6	^(6-10)²⁄ ₆	2.667
(sum) χ² =				6.551

Table 2
Phenotype	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	104	^(104-90)⁄ ₉₀	0.156
Yellow Wrinkled (Y–rr)	30	25	^(25-30)⁄ ₃₀	-0.167
Green Round (yyR–)	30	25	^(25-30)⁄ ₃₀	-0.167
Green Wrinkled (yyrr)	10	6	^(6-10)⁄ ₁₀	-0.400
(sum) χ² =				-0.578

Table 3
Phenotype	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	104	^(104-90)²⁄ ₉₀	2.178
Yellow Wrinkled (Y–rr)	30	25	^(25-30)²⁄ ₃₀	0.833
Green Round (yyR–)	30	25	^(25-30)²⁄ ₃₀	0.833
Green Wrinkled (yyrr)	10	6	^(6-10)²⁄ ₁₀	1.600
(sum) χ² =				5.444

Before you ask your instructor for a new lab partner, tell them which table is correct AND whether they can reject or fail to reject the null hypothesis using the information provided.

Table 1 with χ² = 6.551 is correct and we REJECT the null hypothesis Incorrect Table 2 with χ² = -0.578 is correct and we REJECT the null hypothesis Incorrect Table 3 with χ² = 5.444 is correct and we REJECT the null hypothesis Incorrect Table 1 with χ² = 6.551 is correct and we FAIL to REJECT the null hypothesis Incorrect Table 2 with χ² = -0.578 is correct and we FAIL to REJECT the null hypothesis Incorrect Table 3 with χ² = 5.444 is correct and we FAIL to REJECT the null hypothesis Correct MC

5776_9572

Table of Chi-Squared (χ²) Critical Values
Degrees of Freedom	Probability
Degrees of Freedom	0.95	0.90	0.75	0.50	0.25	0.10	0.05	0.01
1	0.00	0.02	0.10	0.45	1.32	2.71	3.84	6.63
2	0.10	0.21	0.58	1.39	2.77	4.61	5.99	9.21
3	0.35	0.58	1.21	2.37	4.11	6.25	7.81	11.34
4	0.71	1.06	1.92	3.36	5.39	7.78	9.49	13.28

Table 1
Phenotype	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	103	^(103-90)²⁄ _103²	0.016
Yellow Wrinkled (Y–rr)	30	28	^(28-30)²⁄ _28²	0.005
Green Round (yyR–)	30	23	^(23-30)²⁄ _23²	0.093
Green Wrinkled (yyrr)	10	6	^(6-10)²⁄ _6²	0.444
(sum) χ² =				0.558

Table 2
Phenotype	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	103	^(103-90)²⁄ ₉₀	1.878
Yellow Wrinkled (Y–rr)	30	28	^(28-30)²⁄ ₃₀	0.133
Green Round (yyR–)	30	23	^(23-30)²⁄ ₃₀	1.633
Green Wrinkled (yyrr)	10	6	^(6-10)²⁄ ₁₀	1.600
(sum) χ² =				5.244

Table 3
Phenotype	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	103	^(103-90)⁄ ₉₀	0.144
Yellow Wrinkled (Y–rr)	30	28	^(28-30)⁄ ₃₀	-0.067
Green Round (yyR–)	30	23	^(23-30)⁄ ₃₀	-0.233
Green Wrinkled (yyrr)	10	6	^(6-10)⁄ ₁₀	-0.400
(sum) χ² =				-0.556

Before you ask your instructor for a new lab partner, tell them which table is correct AND whether they can reject or fail to reject the null hypothesis using the information provided.

Table 1 with χ² = 0.558 is correct and we REJECT the null hypothesis Incorrect Table 2 with χ² = 5.244 is correct and we REJECT the null hypothesis Incorrect Table 3 with χ² = -0.556 is correct and we REJECT the null hypothesis Incorrect Table 1 with χ² = 0.558 is correct and we FAIL to REJECT the null hypothesis Incorrect Table 2 with χ² = 5.244 is correct and we FAIL to REJECT the null hypothesis Correct Table 3 with χ² = -0.556 is correct and we FAIL to REJECT the null hypothesis Incorrect MC

375e_9876

Table of Chi-Squared (χ²) Critical Values
Degrees of Freedom	Probability
Degrees of Freedom	0.95	0.90	0.75	0.50	0.25	0.10	0.05	0.01
1	0.00	0.02	0.10	0.45	1.32	2.71	3.84	6.63
2	0.10	0.21	0.58	1.39	2.77	4.61	5.99	9.21
3	0.35	0.58	1.21	2.37	4.11	6.25	7.81	11.34
4	0.71	1.06	1.92	3.36	5.39	7.78	9.49	13.28

Table 1
Phenotype	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	87	^(87-90)²⁄ _87²	0.001
Yellow Wrinkled (Y–rr)	30	19	^(19-30)²⁄ _19²	0.335
Green Round (yyR–)	30	40	^(40-30)²⁄ _40²	0.062
Green Wrinkled (yyrr)	10	14	^(14-10)²⁄ _14²	0.082
(sum) χ² =				0.481

Table 2
Phenotype	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	87	^(87-90)²⁄ ₉₀	0.100
Yellow Wrinkled (Y–rr)	30	19	^(19-30)²⁄ ₃₀	4.033
Green Round (yyR–)	30	40	^(40-30)²⁄ ₃₀	3.333
Green Wrinkled (yyrr)	10	14	^(14-10)²⁄ ₁₀	1.600
(sum) χ² =				9.067

Table 3
Phenotype	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	87	^(87-90)⁄ ₉₀	-0.033
Yellow Wrinkled (Y–rr)	30	19	^(19-30)⁄ ₃₀	-0.367
Green Round (yyR–)	30	40	^(40-30)⁄ ₃₀	0.333
Green Wrinkled (yyrr)	10	14	^(14-10)⁄ ₁₀	0.400
(sum) χ² =				0.333

Before you ask your instructor for a new lab partner, tell them which table is correct AND whether they can reject or fail to reject the null hypothesis using the information provided.

Table 1 with χ² = 0.481 is correct and we REJECT the null hypothesis Incorrect Table 2 with χ² = 9.067 is correct and we REJECT the null hypothesis Correct Table 3 with χ² = 0.333 is correct and we REJECT the null hypothesis Incorrect Table 1 with χ² = 0.481 is correct and we FAIL to REJECT the null hypothesis Incorrect Table 2 with χ² = 9.067 is correct and we FAIL to REJECT the null hypothesis Incorrect Table 3 with χ² = 0.333 is correct and we FAIL to REJECT the null hypothesis Incorrect MC

8e99_398b

Table of Chi-Squared (χ²) Critical Values
Degrees of Freedom	Probability
Degrees of Freedom	0.95	0.90	0.75	0.50	0.25	0.10	0.05	0.01
1	0.00	0.02	0.10	0.45	1.32	2.71	3.84	6.63
2	0.10	0.21	0.58	1.39	2.77	4.61	5.99	9.21
3	0.35	0.58	1.21	2.37	4.11	6.25	7.81	11.34
4	0.71	1.06	1.92	3.36	5.39	7.78	9.49	13.28

Table 1
Phenotype	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	84	^(84-90)⁄ ₉₀	-0.067
Yellow Wrinkled (Y–rr)	30	32	^(32-30)⁄ ₃₀	0.067
Green Round (yyR–)	30	32	^(32-30)⁄ ₃₀	0.067
Green Wrinkled (yyrr)	10	12	^(12-10)⁄ ₁₀	0.200
(sum) χ² =				0.267

Table 2
Phenotype	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	84	^(84-90)²⁄ ₉₀	0.400
Yellow Wrinkled (Y–rr)	30	32	^(32-30)²⁄ ₃₀	0.133
Green Round (yyR–)	30	32	^(32-30)²⁄ ₃₀	0.133
Green Wrinkled (yyrr)	10	12	^(12-10)²⁄ ₁₀	0.400
(sum) χ² =				1.067

Table 3
Phenotype	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	84	^(84-90)²⁄ ₈₄	0.429
Yellow Wrinkled (Y–rr)	30	32	^(32-30)²⁄ ₃₂	0.125
Green Round (yyR–)	30	32	^(32-30)²⁄ ₃₂	0.125
Green Wrinkled (yyrr)	10	12	^(12-10)²⁄ ₁₂	0.333
(sum) χ² =				1.012

Before you ask your instructor for a new lab partner, tell them which table is correct AND whether they can reject or fail to reject the null hypothesis using the information provided.

Table 1 with χ² = 0.267 is correct and we REJECT the null hypothesis Incorrect Table 2 with χ² = 1.067 is correct and we REJECT the null hypothesis Incorrect Table 3 with χ² = 1.012 is correct and we REJECT the null hypothesis Incorrect Table 1 with χ² = 0.267 is correct and we FAIL to REJECT the null hypothesis Incorrect Table 2 with χ² = 1.067 is correct and we FAIL to REJECT the null hypothesis Correct Table 3 with χ² = 1.012 is correct and we FAIL to REJECT the null hypothesis Incorrect MC

12e1_b058

Table of Chi-Squared (χ²) Critical Values
Degrees of Freedom	Probability
Degrees of Freedom	0.95	0.90	0.75	0.50	0.25	0.10	0.05	0.01
1	0.00	0.02	0.10	0.45	1.32	2.71	3.84	6.63
2	0.10	0.21	0.58	1.39	2.77	4.61	5.99	9.21
3	0.35	0.58	1.21	2.37	4.11	6.25	7.81	11.34
4	0.71	1.06	1.92	3.36	5.39	7.78	9.49	13.28

Table 1
Phenotype	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	93	^(93-90)²⁄ ₉₀	0.100
Yellow Wrinkled (Y–rr)	30	29	^(29-30)²⁄ ₃₀	0.033
Green Round (yyR–)	30	30	^(30-30)²⁄ ₃₀	0.000
Green Wrinkled (yyrr)	10	8	^(8-10)²⁄ ₁₀	0.400
(sum) χ² =				0.533

Table 2
Phenotype	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	93	^(93-90)⁄ ₉₀	0.033
Yellow Wrinkled (Y–rr)	30	29	^(29-30)⁄ ₃₀	-0.033
Green Round (yyR–)	30	30	^(30-30)⁄ ₃₀	0.000
Green Wrinkled (yyrr)	10	8	^(8-10)⁄ ₁₀	-0.200
(sum) χ² =				-0.200

Table 3
Phenotype	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	93	^(93-90)²⁄ ₉₃	0.097
Yellow Wrinkled (Y–rr)	30	29	^(29-30)²⁄ ₂₉	0.034
Green Round (yyR–)	30	30	^(30-30)²⁄ ₃₀	0.000
Green Wrinkled (yyrr)	10	8	^(8-10)²⁄ ₈	0.500
(sum) χ² =				0.631

Before you ask your instructor for a new lab partner, tell them which table is correct AND whether they can reject or fail to reject the null hypothesis using the information provided.

Table 1 with χ² = 0.533 is correct and we REJECT the null hypothesis Incorrect Table 2 with χ² = -0.200 is correct and we REJECT the null hypothesis Incorrect Table 3 with χ² = 0.631 is correct and we REJECT the null hypothesis Incorrect Table 1 with χ² = 0.533 is correct and we FAIL to REJECT the null hypothesis Correct Table 2 with χ² = -0.200 is correct and we FAIL to REJECT the null hypothesis Incorrect Table 3 with χ² = 0.631 is correct and we FAIL to REJECT the null hypothesis Incorrect MC

027f_6c53

Table of Chi-Squared (χ²) Critical Values
Degrees of Freedom	Probability
Degrees of Freedom	0.95	0.90	0.75	0.50	0.25	0.10	0.05	0.01
1	0.00	0.02	0.10	0.45	1.32	2.71	3.84	6.63
2	0.10	0.21	0.58	1.39	2.77	4.61	5.99	9.21
3	0.35	0.58	1.21	2.37	4.11	6.25	7.81	11.34
4	0.71	1.06	1.92	3.36	5.39	7.78	9.49	13.28

Table 1
Phenotype	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	79	^(79-90)²⁄ ₇₉	1.532
Yellow Wrinkled (Y–rr)	30	33	^(33-30)²⁄ ₃₃	0.273
Green Round (yyR–)	30	41	^(41-30)²⁄ ₄₁	2.951
Green Wrinkled (yyrr)	10	7	^(7-10)²⁄ ₇	1.286
(sum) χ² =				6.041

Table 2
Phenotype	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	79	^(79-90)²⁄ ₉₀	1.344
Yellow Wrinkled (Y–rr)	30	33	^(33-30)²⁄ ₃₀	0.300
Green Round (yyR–)	30	41	^(41-30)²⁄ ₃₀	4.033
Green Wrinkled (yyrr)	10	7	^(7-10)²⁄ ₁₀	0.900
(sum) χ² =				6.578

Table 3
Phenotype	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	79	^(79-90)²⁄ _79²	0.019
Yellow Wrinkled (Y–rr)	30	33	^(33-30)²⁄ _33²	0.008
Green Round (yyR–)	30	41	^(41-30)²⁄ _41²	0.072
Green Wrinkled (yyrr)	10	7	^(7-10)²⁄ _7²	0.184
(sum) χ² =				0.283

Before you ask your instructor for a new lab partner, tell them which table is correct AND whether they can reject or fail to reject the null hypothesis using the information provided.

Table 1 with χ² = 6.041 is correct and we REJECT the null hypothesis Incorrect Table 2 with χ² = 6.578 is correct and we REJECT the null hypothesis Incorrect Table 3 with χ² = 0.283 is correct and we REJECT the null hypothesis Incorrect Table 1 with χ² = 6.041 is correct and we FAIL to REJECT the null hypothesis Incorrect Table 2 with χ² = 6.578 is correct and we FAIL to REJECT the null hypothesis Correct Table 3 with χ² = 0.283 is correct and we FAIL to REJECT the null hypothesis Incorrect MC

55a9_f1ef

Table of Chi-Squared (χ²) Critical Values
Degrees of Freedom	Probability
Degrees of Freedom	0.95	0.90	0.75	0.50	0.25	0.10	0.05	0.01
1	0.00	0.02	0.10	0.45	1.32	2.71	3.84	6.63
2	0.10	0.21	0.58	1.39	2.77	4.61	5.99	9.21
3	0.35	0.58	1.21	2.37	4.11	6.25	7.81	11.34
4	0.71	1.06	1.92	3.36	5.39	7.78	9.49	13.28

Table 1
Phenotype	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	105	^(105-90)²⁄ _105²	0.020
Yellow Wrinkled (Y–rr)	30	25	^(25-30)²⁄ _25²	0.040
Green Round (yyR–)	30	25	^(25-30)²⁄ _25²	0.040
Green Wrinkled (yyrr)	10	5	^(5-10)²⁄ _5²	1.000
(sum) χ² =				1.100

Table 2
Phenotype	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	105	^(105-90)⁄ ₉₀	0.167
Yellow Wrinkled (Y–rr)	30	25	^(25-30)⁄ ₃₀	-0.167
Green Round (yyR–)	30	25	^(25-30)⁄ ₃₀	-0.167
Green Wrinkled (yyrr)	10	5	^(5-10)⁄ ₁₀	-0.500
(sum) χ² =				-0.667

Table 3
Phenotype	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	105	^(105-90)²⁄ ₉₀	2.500
Yellow Wrinkled (Y–rr)	30	25	^(25-30)²⁄ ₃₀	0.833
Green Round (yyR–)	30	25	^(25-30)²⁄ ₃₀	0.833
Green Wrinkled (yyrr)	10	5	^(5-10)²⁄ ₁₀	2.500
(sum) χ² =				6.667

Before you ask your instructor for a new lab partner, tell them which table is correct AND whether they can reject or fail to reject the null hypothesis using the information provided.

Table 1 with χ² = 1.100 is correct and we REJECT the null hypothesis Incorrect Table 2 with χ² = -0.667 is correct and we REJECT the null hypothesis Incorrect Table 3 with χ² = 6.667 is correct and we REJECT the null hypothesis Incorrect Table 1 with χ² = 1.100 is correct and we FAIL to REJECT the null hypothesis Incorrect Table 2 with χ² = -0.667 is correct and we FAIL to REJECT the null hypothesis Incorrect Table 3 with χ² = 6.667 is correct and we FAIL to REJECT the null hypothesis Correct MC

37d3_0229

Table of Chi-Squared (χ²) Critical Values
Degrees of Freedom	Probability
Degrees of Freedom	0.95	0.90	0.75	0.50	0.25	0.10	0.05	0.01
1	0.00	0.02	0.10	0.45	1.32	2.71	3.84	6.63
2	0.10	0.21	0.58	1.39	2.77	4.61	5.99	9.21
3	0.35	0.58	1.21	2.37	4.11	6.25	7.81	11.34
4	0.71	1.06	1.92	3.36	5.39	7.78	9.49	13.28

Table 1
Phenotype	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	99	^(99-90)²⁄ _99²	0.008
Yellow Wrinkled (Y–rr)	30	29	^(29-30)²⁄ _29²	0.001
Green Round (yyR–)	30	26	^(26-30)²⁄ _26²	0.024
Green Wrinkled (yyrr)	10	6	^(6-10)²⁄ _6²	0.444
(sum) χ² =				0.478

Table 2
Phenotype	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	99	^(99-90)⁄ ₉₀	0.100
Yellow Wrinkled (Y–rr)	30	29	^(29-30)⁄ ₃₀	-0.033
Green Round (yyR–)	30	26	^(26-30)⁄ ₃₀	-0.133
Green Wrinkled (yyrr)	10	6	^(6-10)⁄ ₁₀	-0.400
(sum) χ² =				-0.467

Table 3
Phenotype	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	99	^(99-90)²⁄ ₉₀	0.900
Yellow Wrinkled (Y–rr)	30	29	^(29-30)²⁄ ₃₀	0.033
Green Round (yyR–)	30	26	^(26-30)²⁄ ₃₀	0.533
Green Wrinkled (yyrr)	10	6	^(6-10)²⁄ ₁₀	1.600
(sum) χ² =				3.067

Before you ask your instructor for a new lab partner, tell them which table is correct AND whether they can reject or fail to reject the null hypothesis using the information provided.

Table 1 with χ² = 0.478 is correct and we REJECT the null hypothesis Incorrect Table 2 with χ² = -0.467 is correct and we REJECT the null hypothesis Incorrect Table 3 with χ² = 3.067 is correct and we REJECT the null hypothesis Incorrect Table 1 with χ² = 0.478 is correct and we FAIL to REJECT the null hypothesis Incorrect Table 2 with χ² = -0.467 is correct and we FAIL to REJECT the null hypothesis Incorrect Table 3 with χ² = 3.067 is correct and we FAIL to REJECT the null hypothesis Correct MC

91d5_8085

Table of Chi-Squared (χ²) Critical Values
Degrees of Freedom	Probability
Degrees of Freedom	0.95	0.90	0.75	0.50	0.25	0.10	0.05	0.01
1	0.00	0.02	0.10	0.45	1.32	2.71	3.84	6.63
2	0.10	0.21	0.58	1.39	2.77	4.61	5.99	9.21
3	0.35	0.58	1.21	2.37	4.11	6.25	7.81	11.34
4	0.71	1.06	1.92	3.36	5.39	7.78	9.49	13.28

Table 1
Phenotype	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	84	^(84-90)²⁄ ₉₀	0.400
Yellow Wrinkled (Y–rr)	30	31	^(31-30)²⁄ ₃₀	0.033
Green Round (yyR–)	30	33	^(33-30)²⁄ ₃₀	0.300
Green Wrinkled (yyrr)	10	12	^(12-10)²⁄ ₁₀	0.400
(sum) χ² =				1.133

Table 2
Phenotype	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	84	^(84-90)²⁄ ₈₄	0.429
Yellow Wrinkled (Y–rr)	30	31	^(31-30)²⁄ ₃₁	0.032
Green Round (yyR–)	30	33	^(33-30)²⁄ ₃₃	0.273
Green Wrinkled (yyrr)	10	12	^(12-10)²⁄ ₁₂	0.333
(sum) χ² =				1.067

Table 3
Phenotype	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	84	^(84-90)⁄ ₉₀	-0.067
Yellow Wrinkled (Y–rr)	30	31	^(31-30)⁄ ₃₀	0.033
Green Round (yyR–)	30	33	^(33-30)⁄ ₃₀	0.100
Green Wrinkled (yyrr)	10	12	^(12-10)⁄ ₁₀	0.200
(sum) χ² =				0.267

Before you ask your instructor for a new lab partner, tell them which table is correct AND whether they can reject or fail to reject the null hypothesis using the information provided.

Table 1 with χ² = 1.133 is correct and we REJECT the null hypothesis Incorrect Table 2 with χ² = 1.067 is correct and we REJECT the null hypothesis Incorrect Table 3 with χ² = 0.267 is correct and we REJECT the null hypothesis Incorrect Table 1 with χ² = 1.133 is correct and we FAIL to REJECT the null hypothesis Correct Table 2 with χ² = 1.067 is correct and we FAIL to REJECT the null hypothesis Incorrect Table 3 with χ² = 0.267 is correct and we FAIL to REJECT the null hypothesis Incorrect MC

b239_0f88

Table of Chi-Squared (χ²) Critical Values
Degrees of Freedom	Probability
Degrees of Freedom	0.95	0.90	0.75	0.50	0.25	0.10	0.05	0.01
1	0.00	0.02	0.10	0.45	1.32	2.71	3.84	6.63
2	0.10	0.21	0.58	1.39	2.77	4.61	5.99	9.21
3	0.35	0.58	1.21	2.37	4.11	6.25	7.81	11.34
4	0.71	1.06	1.92	3.36	5.39	7.78	9.49	13.28

Table 1
Phenotype	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	95	^(95-90)²⁄ ₉₅	0.263
Yellow Wrinkled (Y–rr)	30	28	^(28-30)²⁄ ₂₈	0.143
Green Round (yyR–)	30	30	^(30-30)²⁄ ₃₀	0.000
Green Wrinkled (yyrr)	10	7	^(7-10)²⁄ ₇	1.286
(sum) χ² =				1.692

Table 2
Phenotype	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	95	^(95-90)²⁄ ₉₀	0.278
Yellow Wrinkled (Y–rr)	30	28	^(28-30)²⁄ ₃₀	0.133
Green Round (yyR–)	30	30	^(30-30)²⁄ ₃₀	0.000
Green Wrinkled (yyrr)	10	7	^(7-10)²⁄ ₁₀	0.900
(sum) χ² =				1.311

Table 3
Phenotype	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	95	^(95-90)²⁄ _95²	0.003
Yellow Wrinkled (Y–rr)	30	28	^(28-30)²⁄ _28²	0.005
Green Round (yyR–)	30	30	^(30-30)²⁄ _30²	0.000
Green Wrinkled (yyrr)	10	7	^(7-10)²⁄ _7²	0.184
(sum) χ² =				0.192

Before you ask your instructor for a new lab partner, tell them which table is correct AND whether they can reject or fail to reject the null hypothesis using the information provided.

Table 1 with χ² = 1.692 is correct and we REJECT the null hypothesis Incorrect Table 2 with χ² = 1.311 is correct and we REJECT the null hypothesis Incorrect Table 3 with χ² = 0.192 is correct and we REJECT the null hypothesis Incorrect Table 1 with χ² = 1.692 is correct and we FAIL to REJECT the null hypothesis Incorrect Table 2 with χ² = 1.311 is correct and we FAIL to REJECT the null hypothesis Correct Table 3 with χ² = 0.192 is correct and we FAIL to REJECT the null hypothesis Incorrect MC

7296_cc8e

Table of Chi-Squared (χ²) Critical Values
Degrees of Freedom	Probability
Degrees of Freedom	0.95	0.90	0.75	0.50	0.25	0.10	0.05	0.01
1	0.00	0.02	0.10	0.45	1.32	2.71	3.84	6.63
2	0.10	0.21	0.58	1.39	2.77	4.61	5.99	9.21
3	0.35	0.58	1.21	2.37	4.11	6.25	7.81	11.34
4	0.71	1.06	1.92	3.36	5.39	7.78	9.49	13.28

Table 1
Phenotype	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	100	^(100-90)⁄ ₉₀	0.111
Yellow Wrinkled (Y–rr)	30	28	^(28-30)⁄ ₃₀	-0.067
Green Round (yyR–)	30	25	^(25-30)⁄ ₃₀	-0.167
Green Wrinkled (yyrr)	10	7	^(7-10)⁄ ₁₀	-0.300
(sum) χ² =				-0.422

Table 2
Phenotype	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	100	^(100-90)²⁄ ₉₀	1.111
Yellow Wrinkled (Y–rr)	30	28	^(28-30)²⁄ ₃₀	0.133
Green Round (yyR–)	30	25	^(25-30)²⁄ ₃₀	0.833
Green Wrinkled (yyrr)	10	7	^(7-10)²⁄ ₁₀	0.900
(sum) χ² =				2.978

Table 3
Phenotype	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	100	^(100-90)²⁄ _100²	0.010
Yellow Wrinkled (Y–rr)	30	28	^(28-30)²⁄ _28²	0.005
Green Round (yyR–)	30	25	^(25-30)²⁄ _25²	0.040
Green Wrinkled (yyrr)	10	7	^(7-10)²⁄ _7²	0.184
(sum) χ² =				0.239

Before you ask your instructor for a new lab partner, tell them which table is correct AND whether they can reject or fail to reject the null hypothesis using the information provided.

Table 1 with χ² = -0.422 is correct and we REJECT the null hypothesis Incorrect Table 2 with χ² = 2.978 is correct and we REJECT the null hypothesis Incorrect Table 3 with χ² = 0.239 is correct and we REJECT the null hypothesis Incorrect Table 1 with χ² = -0.422 is correct and we FAIL to REJECT the null hypothesis Incorrect Table 2 with χ² = 2.978 is correct and we FAIL to REJECT the null hypothesis Correct Table 3 with χ² = 0.239 is correct and we FAIL to REJECT the null hypothesis Incorrect MC

ee9b_bf9b

Table of Chi-Squared (χ²) Critical Values
Degrees of Freedom	Probability
Degrees of Freedom	0.95	0.90	0.75	0.50	0.25	0.10	0.05	0.01
1	0.00	0.02	0.10	0.45	1.32	2.71	3.84	6.63
2	0.10	0.21	0.58	1.39	2.77	4.61	5.99	9.21
3	0.35	0.58	1.21	2.37	4.11	6.25	7.81	11.34
4	0.71	1.06	1.92	3.36	5.39	7.78	9.49	13.28

Table 1
Phenotype	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	84	^(84-90)⁄ ₉₀	-0.067
Yellow Wrinkled (Y–rr)	30	19	^(19-30)⁄ ₃₀	-0.367
Green Round (yyR–)	30	38	^(38-30)⁄ ₃₀	0.267
Green Wrinkled (yyrr)	10	19	^(19-10)⁄ ₁₀	0.900
(sum) χ² =				0.733

Table 2
Phenotype	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	84	^(84-90)²⁄ ₈₄	0.429
Yellow Wrinkled (Y–rr)	30	19	^(19-30)²⁄ ₁₉	6.368
Green Round (yyR–)	30	38	^(38-30)²⁄ ₃₈	1.684
Green Wrinkled (yyrr)	10	19	^(19-10)²⁄ ₁₉	4.263
(sum) χ² =				12.744

Table 3
Phenotype	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	84	^(84-90)²⁄ ₉₀	0.400
Yellow Wrinkled (Y–rr)	30	19	^(19-30)²⁄ ₃₀	4.033
Green Round (yyR–)	30	38	^(38-30)²⁄ ₃₀	2.133
Green Wrinkled (yyrr)	10	19	^(19-10)²⁄ ₁₀	8.100
(sum) χ² =				14.667

Before you ask your instructor for a new lab partner, tell them which table is correct AND whether they can reject or fail to reject the null hypothesis using the information provided.

Table 1 with χ² = 0.733 is correct and we REJECT the null hypothesis Incorrect Table 2 with χ² = 12.744 is correct and we REJECT the null hypothesis Incorrect Table 3 with χ² = 14.667 is correct and we REJECT the null hypothesis Correct Table 1 with χ² = 0.733 is correct and we FAIL to REJECT the null hypothesis Incorrect Table 2 with χ² = 12.744 is correct and we FAIL to REJECT the null hypothesis Incorrect Table 3 with χ² = 14.667 is correct and we FAIL to REJECT the null hypothesis Incorrect MC

b0f4_78fc

Table of Chi-Squared (χ²) Critical Values
Degrees of Freedom	Probability
Degrees of Freedom	0.95	0.90	0.75	0.50	0.25	0.10	0.05	0.01
1	0.00	0.02	0.10	0.45	1.32	2.71	3.84	6.63
2	0.10	0.21	0.58	1.39	2.77	4.61	5.99	9.21
3	0.35	0.58	1.21	2.37	4.11	6.25	7.81	11.34
4	0.71	1.06	1.92	3.36	5.39	7.78	9.49	13.28

Table 1
Phenotype	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	80	^(80-90)²⁄ ₈₀	1.250
Yellow Wrinkled (Y–rr)	30	30	^(30-30)²⁄ ₃₀	0.000
Green Round (yyR–)	30	42	^(42-30)²⁄ ₄₂	3.429
Green Wrinkled (yyrr)	10	8	^(8-10)²⁄ ₈	0.500
(sum) χ² =				5.179

Table 2
Phenotype	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	80	^(80-90)²⁄ _80²	0.016
Yellow Wrinkled (Y–rr)	30	30	^(30-30)²⁄ _30²	0.000
Green Round (yyR–)	30	42	^(42-30)²⁄ _42²	0.082
Green Wrinkled (yyrr)	10	8	^(8-10)²⁄ _8²	0.062
(sum) χ² =				0.160

Table 3
Phenotype	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	80	^(80-90)²⁄ ₉₀	1.111
Yellow Wrinkled (Y–rr)	30	30	^(30-30)²⁄ ₃₀	0.000
Green Round (yyR–)	30	42	^(42-30)²⁄ ₃₀	4.800
Green Wrinkled (yyrr)	10	8	^(8-10)²⁄ ₁₀	0.400
(sum) χ² =				6.311

Before you ask your instructor for a new lab partner, tell them which table is correct AND whether they can reject or fail to reject the null hypothesis using the information provided.

Table 1 with χ² = 5.179 is correct and we REJECT the null hypothesis Incorrect Table 2 with χ² = 0.160 is correct and we REJECT the null hypothesis Incorrect Table 3 with χ² = 6.311 is correct and we REJECT the null hypothesis Incorrect Table 1 with χ² = 5.179 is correct and we FAIL to REJECT the null hypothesis Incorrect Table 2 with χ² = 0.160 is correct and we FAIL to REJECT the null hypothesis Incorrect Table 3 with χ² = 6.311 is correct and we FAIL to REJECT the null hypothesis Correct MC

20df_4ce9

Table of Chi-Squared (χ²) Critical Values
Degrees of Freedom	Probability
Degrees of Freedom	0.95	0.90	0.75	0.50	0.25	0.10	0.05	0.01
1	0.00	0.02	0.10	0.45	1.32	2.71	3.84	6.63
2	0.10	0.21	0.58	1.39	2.77	4.61	5.99	9.21
3	0.35	0.58	1.21	2.37	4.11	6.25	7.81	11.34
4	0.71	1.06	1.92	3.36	5.39	7.78	9.49	13.28

Table 1
Phenotype	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	104	^(104-90)²⁄ ₉₀	2.178
Yellow Wrinkled (Y–rr)	30	25	^(25-30)²⁄ ₃₀	0.833
Green Round (yyR–)	30	25	^(25-30)²⁄ ₃₀	0.833
Green Wrinkled (yyrr)	10	6	^(6-10)²⁄ ₁₀	1.600
(sum) χ² =				5.444

Table 2
Phenotype	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	104	^(104-90)²⁄ _104²	0.018
Yellow Wrinkled (Y–rr)	30	25	^(25-30)²⁄ _25²	0.040
Green Round (yyR–)	30	25	^(25-30)²⁄ _25²	0.040
Green Wrinkled (yyrr)	10	6	^(6-10)²⁄ _6²	0.444
(sum) χ² =				0.543

Table 3
Phenotype	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	104	^(104-90)²⁄ ₁₀₄	1.885
Yellow Wrinkled (Y–rr)	30	25	^(25-30)²⁄ ₂₅	1.000
Green Round (yyR–)	30	25	^(25-30)²⁄ ₂₅	1.000
Green Wrinkled (yyrr)	10	6	^(6-10)²⁄ ₆	2.667
(sum) χ² =				6.551

Before you ask your instructor for a new lab partner, tell them which table is correct AND whether they can reject or fail to reject the null hypothesis using the information provided.

Table 1 with χ² = 5.444 is correct and we REJECT the null hypothesis Incorrect Table 2 with χ² = 0.543 is correct and we REJECT the null hypothesis Incorrect Table 3 with χ² = 6.551 is correct and we REJECT the null hypothesis Incorrect Table 1 with χ² = 5.444 is correct and we FAIL to REJECT the null hypothesis Correct Table 2 with χ² = 0.543 is correct and we FAIL to REJECT the null hypothesis Incorrect Table 3 with χ² = 6.551 is correct and we FAIL to REJECT the null hypothesis Incorrect MC

fe61_6a48

Table of Chi-Squared (χ²) Critical Values
Degrees of Freedom	Probability
Degrees of Freedom	0.95	0.90	0.75	0.50	0.25	0.10	0.05	0.01
1	0.00	0.02	0.10	0.45	1.32	2.71	3.84	6.63
2	0.10	0.21	0.58	1.39	2.77	4.61	5.99	9.21
3	0.35	0.58	1.21	2.37	4.11	6.25	7.81	11.34
4	0.71	1.06	1.92	3.36	5.39	7.78	9.49	13.28

Table 1
Phenotype	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	85	^(85-90)⁄ ₉₀	-0.056
Yellow Wrinkled (Y–rr)	30	20	^(20-30)⁄ ₃₀	-0.333
Green Round (yyR–)	30	39	^(39-30)⁄ ₃₀	0.300
Green Wrinkled (yyrr)	10	16	^(16-10)⁄ ₁₀	0.600
(sum) χ² =				0.511

Table 2
Phenotype	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	85	^(85-90)²⁄ ₉₀	0.278
Yellow Wrinkled (Y–rr)	30	20	^(20-30)²⁄ ₃₀	3.333
Green Round (yyR–)	30	39	^(39-30)²⁄ ₃₀	2.700
Green Wrinkled (yyrr)	10	16	^(16-10)²⁄ ₁₀	3.600
(sum) χ² =				9.911

Table 3
Phenotype	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	85	^(85-90)²⁄ _85²	0.003
Yellow Wrinkled (Y–rr)	30	20	^(20-30)²⁄ _20²	0.250
Green Round (yyR–)	30	39	^(39-30)²⁄ _39²	0.053
Green Wrinkled (yyrr)	10	16	^(16-10)²⁄ _16²	0.141
(sum) χ² =				0.447

Before you ask your instructor for a new lab partner, tell them which table is correct AND whether they can reject or fail to reject the null hypothesis using the information provided.

Table 1 with χ² = 0.511 is correct and we REJECT the null hypothesis Incorrect Table 2 with χ² = 9.911 is correct and we REJECT the null hypothesis Correct Table 3 with χ² = 0.447 is correct and we REJECT the null hypothesis Incorrect Table 1 with χ² = 0.511 is correct and we FAIL to REJECT the null hypothesis Incorrect Table 2 with χ² = 9.911 is correct and we FAIL to REJECT the null hypothesis Incorrect Table 3 with χ² = 0.447 is correct and we FAIL to REJECT the null hypothesis Incorrect MC

e4b3_821b

Table of Chi-Squared (χ²) Critical Values
Degrees of Freedom	Probability
Degrees of Freedom	0.95	0.90	0.75	0.50	0.25	0.10	0.05	0.01
1	0.00	0.02	0.10	0.45	1.32	2.71	3.84	6.63
2	0.10	0.21	0.58	1.39	2.77	4.61	5.99	9.21
3	0.35	0.58	1.21	2.37	4.11	6.25	7.81	11.34
4	0.71	1.06	1.92	3.36	5.39	7.78	9.49	13.28

Table 1
Phenotype	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	86	^(86-90)²⁄ ₉₀	0.178
Yellow Wrinkled (Y–rr)	30	37	^(37-30)²⁄ ₃₀	1.633
Green Round (yyR–)	30	31	^(31-30)²⁄ ₃₀	0.033
Green Wrinkled (yyrr)	10	6	^(6-10)²⁄ ₁₀	1.600
(sum) χ² =				3.444

Table 2
Phenotype	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	86	^(86-90)⁄ ₉₀	-0.044
Yellow Wrinkled (Y–rr)	30	37	^(37-30)⁄ ₃₀	0.233
Green Round (yyR–)	30	31	^(31-30)⁄ ₃₀	0.033
Green Wrinkled (yyrr)	10	6	^(6-10)⁄ ₁₀	-0.400
(sum) χ² =				-0.178

Table 3
Phenotype	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	86	^(86-90)²⁄ ₈₆	0.186
Yellow Wrinkled (Y–rr)	30	37	^(37-30)²⁄ ₃₇	1.324
Green Round (yyR–)	30	31	^(31-30)²⁄ ₃₁	0.032
Green Wrinkled (yyrr)	10	6	^(6-10)²⁄ ₆	2.667
(sum) χ² =				4.209

Before you ask your instructor for a new lab partner, tell them which table is correct AND whether they can reject or fail to reject the null hypothesis using the information provided.

Table 1 with χ² = 3.444 is correct and we REJECT the null hypothesis Incorrect Table 2 with χ² = -0.178 is correct and we REJECT the null hypothesis Incorrect Table 3 with χ² = 4.209 is correct and we REJECT the null hypothesis Incorrect Table 1 with χ² = 3.444 is correct and we FAIL to REJECT the null hypothesis Correct Table 2 with χ² = -0.178 is correct and we FAIL to REJECT the null hypothesis Incorrect Table 3 with χ² = 4.209 is correct and we FAIL to REJECT the null hypothesis Incorrect MC

20ca_f7b5

Table of Chi-Squared (χ²) Critical Values
Degrees of Freedom	Probability
Degrees of Freedom	0.95	0.90	0.75	0.50	0.25	0.10	0.05	0.01
1	0.00	0.02	0.10	0.45	1.32	2.71	3.84	6.63
2	0.10	0.21	0.58	1.39	2.77	4.61	5.99	9.21
3	0.35	0.58	1.21	2.37	4.11	6.25	7.81	11.34
4	0.71	1.06	1.92	3.36	5.39	7.78	9.49	13.28

Table 1
Phenotype	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	87	^(87-90)²⁄ _87²	0.001
Yellow Wrinkled (Y–rr)	30	35	^(35-30)²⁄ _35²	0.020
Green Round (yyR–)	30	33	^(33-30)²⁄ _33²	0.008
Green Wrinkled (yyrr)	10	5	^(5-10)²⁄ _5²	1.000
(sum) χ² =				1.030

Table 2
Phenotype	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	87	^(87-90)⁄ ₉₀	-0.033
Yellow Wrinkled (Y–rr)	30	35	^(35-30)⁄ ₃₀	0.167
Green Round (yyR–)	30	33	^(33-30)⁄ ₃₀	0.100
Green Wrinkled (yyrr)	10	5	^(5-10)⁄ ₁₀	-0.500
(sum) χ² =				-0.267

Table 3
Phenotype	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	87	^(87-90)²⁄ ₉₀	0.100
Yellow Wrinkled (Y–rr)	30	35	^(35-30)²⁄ ₃₀	0.833
Green Round (yyR–)	30	33	^(33-30)²⁄ ₃₀	0.300
Green Wrinkled (yyrr)	10	5	^(5-10)²⁄ ₁₀	2.500
(sum) χ² =				3.733

Before you ask your instructor for a new lab partner, tell them which table is correct AND whether they can reject or fail to reject the null hypothesis using the information provided.

Table 1 with χ² = 1.030 is correct and we REJECT the null hypothesis Incorrect Table 2 with χ² = -0.267 is correct and we REJECT the null hypothesis Incorrect Table 3 with χ² = 3.733 is correct and we REJECT the null hypothesis Incorrect Table 1 with χ² = 1.030 is correct and we FAIL to REJECT the null hypothesis Incorrect Table 2 with χ² = -0.267 is correct and we FAIL to REJECT the null hypothesis Incorrect Table 3 with χ² = 3.733 is correct and we FAIL to REJECT the null hypothesis Correct MC

fda5_e7f9

Table of Chi-Squared (χ²) Critical Values
Degrees of Freedom	Probability
Degrees of Freedom	0.95	0.90	0.75	0.50	0.25	0.10	0.05	0.01
1	0.00	0.02	0.10	0.45	1.32	2.71	3.84	6.63
2	0.10	0.21	0.58	1.39	2.77	4.61	5.99	9.21
3	0.35	0.58	1.21	2.37	4.11	6.25	7.81	11.34
4	0.71	1.06	1.92	3.36	5.39	7.78	9.49	13.28

Table 1
Phenotype	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	85	^(85-90)²⁄ ₈₅	0.294
Yellow Wrinkled (Y–rr)	30	33	^(33-30)²⁄ ₃₃	0.273
Green Round (yyR–)	30	28	^(28-30)²⁄ ₂₈	0.143
Green Wrinkled (yyrr)	10	14	^(14-10)²⁄ ₁₄	1.143
(sum) χ² =				1.853

Table 2
Phenotype	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	85	^(85-90)²⁄ ₉₀	0.278
Yellow Wrinkled (Y–rr)	30	33	^(33-30)²⁄ ₃₀	0.300
Green Round (yyR–)	30	28	^(28-30)²⁄ ₃₀	0.133
Green Wrinkled (yyrr)	10	14	^(14-10)²⁄ ₁₀	1.600
(sum) χ² =				2.311

Table 3
Phenotype	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	85	^(85-90)²⁄ _85²	0.003
Yellow Wrinkled (Y–rr)	30	33	^(33-30)²⁄ _33²	0.008
Green Round (yyR–)	30	28	^(28-30)²⁄ _28²	0.005
Green Wrinkled (yyrr)	10	14	^(14-10)²⁄ _14²	0.082
(sum) χ² =				0.098

Before you ask your instructor for a new lab partner, tell them which table is correct AND whether they can reject or fail to reject the null hypothesis using the information provided.

Table 1 with χ² = 1.853 is correct and we REJECT the null hypothesis Incorrect Table 2 with χ² = 2.311 is correct and we REJECT the null hypothesis Incorrect Table 3 with χ² = 0.098 is correct and we REJECT the null hypothesis Incorrect Table 1 with χ² = 1.853 is correct and we FAIL to REJECT the null hypothesis Incorrect Table 2 with χ² = 2.311 is correct and we FAIL to REJECT the null hypothesis Correct Table 3 with χ² = 0.098 is correct and we FAIL to REJECT the null hypothesis Incorrect MC

2597_789f

Table of Chi-Squared (χ²) Critical Values
Degrees of Freedom	Probability
Degrees of Freedom	0.95	0.90	0.75	0.50	0.25	0.10	0.05	0.01
1	0.00	0.02	0.10	0.45	1.32	2.71	3.84	6.63
2	0.10	0.21	0.58	1.39	2.77	4.61	5.99	9.21
3	0.35	0.58	1.21	2.37	4.11	6.25	7.81	11.34
4	0.71	1.06	1.92	3.36	5.39	7.78	9.49	13.28

Table 1
Phenotype	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	87	^(87-90)⁄ ₉₀	-0.033
Yellow Wrinkled (Y–rr)	30	40	^(40-30)⁄ ₃₀	0.333
Green Round (yyR–)	30	25	^(25-30)⁄ ₃₀	-0.167
Green Wrinkled (yyrr)	10	8	^(8-10)⁄ ₁₀	-0.200
(sum) χ² =				-0.067

Table 2
Phenotype	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	87	^(87-90)²⁄ ₈₇	0.103
Yellow Wrinkled (Y–rr)	30	40	^(40-30)²⁄ ₄₀	2.500
Green Round (yyR–)	30	25	^(25-30)²⁄ ₂₅	1.000
Green Wrinkled (yyrr)	10	8	^(8-10)²⁄ ₈	0.500
(sum) χ² =				4.103

Table 3
Phenotype	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	87	^(87-90)²⁄ ₉₀	0.100
Yellow Wrinkled (Y–rr)	30	40	^(40-30)²⁄ ₃₀	3.333
Green Round (yyR–)	30	25	^(25-30)²⁄ ₃₀	0.833
Green Wrinkled (yyrr)	10	8	^(8-10)²⁄ ₁₀	0.400
(sum) χ² =				4.667

Before you ask your instructor for a new lab partner, tell them which table is correct AND whether they can reject or fail to reject the null hypothesis using the information provided.

Table 1 with χ² = -0.067 is correct and we REJECT the null hypothesis Incorrect Table 2 with χ² = 4.103 is correct and we REJECT the null hypothesis Incorrect Table 3 with χ² = 4.667 is correct and we REJECT the null hypothesis Incorrect Table 1 with χ² = -0.067 is correct and we FAIL to REJECT the null hypothesis Incorrect Table 2 with χ² = 4.103 is correct and we FAIL to REJECT the null hypothesis Incorrect Table 3 with χ² = 4.667 is correct and we FAIL to REJECT the null hypothesis Correct MC

cb8d_011f

Table of Chi-Squared (χ²) Critical Values
Degrees of Freedom	Probability
Degrees of Freedom	0.95	0.90	0.75	0.50	0.25	0.10	0.05	0.01
1	0.00	0.02	0.10	0.45	1.32	2.71	3.84	6.63
2	0.10	0.21	0.58	1.39	2.77	4.61	5.99	9.21
3	0.35	0.58	1.21	2.37	4.11	6.25	7.81	11.34
4	0.71	1.06	1.92	3.36	5.39	7.78	9.49	13.28

Table 1
Phenotype	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	85	^(85-90)²⁄ ₉₀	0.278
Yellow Wrinkled (Y–rr)	30	19	^(19-30)²⁄ ₃₀	4.033
Green Round (yyR–)	30	39	^(39-30)²⁄ ₃₀	2.700
Green Wrinkled (yyrr)	10	17	^(17-10)²⁄ ₁₀	4.900
(sum) χ² =				11.911

Table 2
Phenotype	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	85	^(85-90)²⁄ _85²	0.003
Yellow Wrinkled (Y–rr)	30	19	^(19-30)²⁄ _19²	0.335
Green Round (yyR–)	30	39	^(39-30)²⁄ _39²	0.053
Green Wrinkled (yyrr)	10	17	^(17-10)²⁄ _17²	0.170
(sum) χ² =				0.561

Table 3
Phenotype	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	85	^(85-90)⁄ ₉₀	-0.056
Yellow Wrinkled (Y–rr)	30	19	^(19-30)⁄ ₃₀	-0.367
Green Round (yyR–)	30	39	^(39-30)⁄ ₃₀	0.300
Green Wrinkled (yyrr)	10	17	^(17-10)⁄ ₁₀	0.700
(sum) χ² =				0.578

Before you ask your instructor for a new lab partner, tell them which table is correct AND whether they can reject or fail to reject the null hypothesis using the information provided.

Table 1 with χ² = 11.911 is correct and we REJECT the null hypothesis Correct Table 2 with χ² = 0.561 is correct and we REJECT the null hypothesis Incorrect Table 3 with χ² = 0.578 is correct and we REJECT the null hypothesis Incorrect Table 1 with χ² = 11.911 is correct and we FAIL to REJECT the null hypothesis Incorrect Table 2 with χ² = 0.561 is correct and we FAIL to REJECT the null hypothesis Incorrect Table 3 with χ² = 0.578 is correct and we FAIL to REJECT the null hypothesis Incorrect MC

a4f2_f158

Table of Chi-Squared (χ²) Critical Values
Degrees of Freedom	Probability
Degrees of Freedom	0.95	0.90	0.75	0.50	0.25	0.10	0.05	0.01
1	0.00	0.02	0.10	0.45	1.32	2.71	3.84	6.63
2	0.10	0.21	0.58	1.39	2.77	4.61	5.99	9.21
3	0.35	0.58	1.21	2.37	4.11	6.25	7.81	11.34
4	0.71	1.06	1.92	3.36	5.39	7.78	9.49	13.28

Table 1
Phenotype	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	78	^(78-90)²⁄ ₉₀	1.600
Yellow Wrinkled (Y–rr)	30	29	^(29-30)²⁄ ₃₀	0.033
Green Round (yyR–)	30	41	^(41-30)²⁄ ₃₀	4.033
Green Wrinkled (yyrr)	10	12	^(12-10)²⁄ ₁₀	0.400
(sum) χ² =				6.067

Table 2
Phenotype	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	78	^(78-90)²⁄ _78²	0.024
Yellow Wrinkled (Y–rr)	30	29	^(29-30)²⁄ _29²	0.001
Green Round (yyR–)	30	41	^(41-30)²⁄ _41²	0.072
Green Wrinkled (yyrr)	10	12	^(12-10)²⁄ _12²	0.028
(sum) χ² =				0.125

Table 3
Phenotype	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	78	^(78-90)²⁄ ₇₈	1.846
Yellow Wrinkled (Y–rr)	30	29	^(29-30)²⁄ ₂₉	0.034
Green Round (yyR–)	30	41	^(41-30)²⁄ ₄₁	2.951
Green Wrinkled (yyrr)	10	12	^(12-10)²⁄ ₁₂	0.333
(sum) χ² =				5.165

Before you ask your instructor for a new lab partner, tell them which table is correct AND whether they can reject or fail to reject the null hypothesis using the information provided.

Table 1 with χ² = 6.067 is correct and we REJECT the null hypothesis Incorrect Table 2 with χ² = 0.125 is correct and we REJECT the null hypothesis Incorrect Table 3 with χ² = 5.165 is correct and we REJECT the null hypothesis Incorrect Table 1 with χ² = 6.067 is correct and we FAIL to REJECT the null hypothesis Correct Table 2 with χ² = 0.125 is correct and we FAIL to REJECT the null hypothesis Incorrect Table 3 with χ² = 5.165 is correct and we FAIL to REJECT the null hypothesis Incorrect MC

ac87_218e

Table of Chi-Squared (χ²) Critical Values
Degrees of Freedom	Probability
Degrees of Freedom	0.95	0.90	0.75	0.50	0.25	0.10	0.05	0.01
1	0.00	0.02	0.10	0.45	1.32	2.71	3.84	6.63
2	0.10	0.21	0.58	1.39	2.77	4.61	5.99	9.21
3	0.35	0.58	1.21	2.37	4.11	6.25	7.81	11.34
4	0.71	1.06	1.92	3.36	5.39	7.78	9.49	13.28

Table 1
Phenotype	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	82	^(82-90)²⁄ ₈₂	0.780
Yellow Wrinkled (Y–rr)	30	18	^(18-30)²⁄ ₁₈	8.000
Green Round (yyR–)	30	41	^(41-30)²⁄ ₄₁	2.951
Green Wrinkled (yyrr)	10	19	^(19-10)²⁄ ₁₉	4.263
(sum) χ² =				15.995

Table 2
Phenotype	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	82	^(82-90)⁄ ₉₀	-0.089
Yellow Wrinkled (Y–rr)	30	18	^(18-30)⁄ ₃₀	-0.400
Green Round (yyR–)	30	41	^(41-30)⁄ ₃₀	0.367
Green Wrinkled (yyrr)	10	19	^(19-10)⁄ ₁₀	0.900
(sum) χ² =				0.778

Table 3
Phenotype	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	82	^(82-90)²⁄ ₉₀	0.711
Yellow Wrinkled (Y–rr)	30	18	^(18-30)²⁄ ₃₀	4.800
Green Round (yyR–)	30	41	^(41-30)²⁄ ₃₀	4.033
Green Wrinkled (yyrr)	10	19	^(19-10)²⁄ ₁₀	8.100
(sum) χ² =				17.644

Before you ask your instructor for a new lab partner, tell them which table is correct AND whether they can reject or fail to reject the null hypothesis using the information provided.

Table 1 with χ² = 15.995 is correct and we REJECT the null hypothesis Incorrect Table 2 with χ² = 0.778 is correct and we REJECT the null hypothesis Incorrect Table 3 with χ² = 17.644 is correct and we REJECT the null hypothesis Correct Table 1 with χ² = 15.995 is correct and we FAIL to REJECT the null hypothesis Incorrect Table 2 with χ² = 0.778 is correct and we FAIL to REJECT the null hypothesis Incorrect Table 3 with χ² = 17.644 is correct and we FAIL to REJECT the null hypothesis Incorrect MC

4168_a7ec

Table of Chi-Squared (χ²) Critical Values
Degrees of Freedom	Probability
Degrees of Freedom	0.95	0.90	0.75	0.50	0.25	0.10	0.05	0.01
1	0.00	0.02	0.10	0.45	1.32	2.71	3.84	6.63
2	0.10	0.21	0.58	1.39	2.77	4.61	5.99	9.21
3	0.35	0.58	1.21	2.37	4.11	6.25	7.81	11.34
4	0.71	1.06	1.92	3.36	5.39	7.78	9.49	13.28

Table 1
Phenotype	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	74	^(74-90)²⁄ _74²	0.047
Yellow Wrinkled (Y–rr)	30	21	^(21-30)²⁄ _21²	0.184
Green Round (yyR–)	30	47	^(47-30)²⁄ _47²	0.131
Green Wrinkled (yyrr)	10	18	^(18-10)²⁄ _18²	0.198
(sum) χ² =				0.559

Table 2
Phenotype	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	74	^(74-90)²⁄ ₉₀	2.844
Yellow Wrinkled (Y–rr)	30	21	^(21-30)²⁄ ₃₀	2.700
Green Round (yyR–)	30	47	^(47-30)²⁄ ₃₀	9.633
Green Wrinkled (yyrr)	10	18	^(18-10)²⁄ ₁₀	6.400
(sum) χ² =				21.578

Table 3
Phenotype	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	74	^(74-90)²⁄ ₇₄	3.459
Yellow Wrinkled (Y–rr)	30	21	^(21-30)²⁄ ₂₁	3.857
Green Round (yyR–)	30	47	^(47-30)²⁄ ₄₇	6.149
Green Wrinkled (yyrr)	10	18	^(18-10)²⁄ ₁₈	3.556
(sum) χ² =				17.021

Before you ask your instructor for a new lab partner, tell them which table is correct AND whether they can reject or fail to reject the null hypothesis using the information provided.

Table 1 with χ² = 0.559 is correct and we REJECT the null hypothesis Incorrect Table 2 with χ² = 21.578 is correct and we REJECT the null hypothesis Correct Table 3 with χ² = 17.021 is correct and we REJECT the null hypothesis Incorrect Table 1 with χ² = 0.559 is correct and we FAIL to REJECT the null hypothesis Incorrect Table 2 with χ² = 21.578 is correct and we FAIL to REJECT the null hypothesis Incorrect Table 3 with χ² = 17.021 is correct and we FAIL to REJECT the null hypothesis Incorrect MC

4f6c_1d4b

Table of Chi-Squared (χ²) Critical Values
Degrees of Freedom	Probability
Degrees of Freedom	0.95	0.90	0.75	0.50	0.25	0.10	0.05	0.01
1	0.00	0.02	0.10	0.45	1.32	2.71	3.84	6.63
2	0.10	0.21	0.58	1.39	2.77	4.61	5.99	9.21
3	0.35	0.58	1.21	2.37	4.11	6.25	7.81	11.34
4	0.71	1.06	1.92	3.36	5.39	7.78	9.49	13.28

Table 1
Phenotype	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	85	^(85-90)²⁄ _85²	0.003
Yellow Wrinkled (Y–rr)	30	12	^(12-30)²⁄ _12²	2.250
Green Round (yyR–)	30	45	^(45-30)²⁄ _45²	0.111
Green Wrinkled (yyrr)	10	18	^(18-10)²⁄ _18²	0.198
(sum) χ² =				2.562

Table 2
Phenotype	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	85	^(85-90)²⁄ ₈₅	0.294
Yellow Wrinkled (Y–rr)	30	12	^(12-30)²⁄ ₁₂	27.000
Green Round (yyR–)	30	45	^(45-30)²⁄ ₄₅	5.000
Green Wrinkled (yyrr)	10	18	^(18-10)²⁄ ₁₈	3.556
(sum) χ² =				35.850

Table 3
Phenotype	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	85	^(85-90)²⁄ ₉₀	0.278
Yellow Wrinkled (Y–rr)	30	12	^(12-30)²⁄ ₃₀	10.800
Green Round (yyR–)	30	45	^(45-30)²⁄ ₃₀	7.500
Green Wrinkled (yyrr)	10	18	^(18-10)²⁄ ₁₀	6.400
(sum) χ² =				24.978

Before you ask your instructor for a new lab partner, tell them which table is correct AND whether they can reject or fail to reject the null hypothesis using the information provided.

Table 1 with χ² = 2.562 is correct and we REJECT the null hypothesis Incorrect Table 2 with χ² = 35.850 is correct and we REJECT the null hypothesis Incorrect Table 3 with χ² = 24.978 is correct and we REJECT the null hypothesis Correct Table 1 with χ² = 2.562 is correct and we FAIL to REJECT the null hypothesis Incorrect Table 2 with χ² = 35.850 is correct and we FAIL to REJECT the null hypothesis Incorrect Table 3 with χ² = 24.978 is correct and we FAIL to REJECT the null hypothesis Incorrect MC

ff91_af8e

Table of Chi-Squared (χ²) Critical Values
Degrees of Freedom	Probability
Degrees of Freedom	0.95	0.90	0.75	0.50	0.25	0.10	0.05	0.01
1	0.00	0.02	0.10	0.45	1.32	2.71	3.84	6.63
2	0.10	0.21	0.58	1.39	2.77	4.61	5.99	9.21
3	0.35	0.58	1.21	2.37	4.11	6.25	7.81	11.34
4	0.71	1.06	1.92	3.36	5.39	7.78	9.49	13.28

Table 1
Phenotype	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	78	^(78-90)²⁄ ₉₀	1.600
Yellow Wrinkled (Y–rr)	30	14	^(14-30)²⁄ ₃₀	8.533
Green Round (yyR–)	30	50	^(50-30)²⁄ ₃₀	13.333
Green Wrinkled (yyrr)	10	18	^(18-10)²⁄ ₁₀	6.400
(sum) χ² =				29.867

Table 2
Phenotype	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	78	^(78-90)²⁄ ₇₈	1.846
Yellow Wrinkled (Y–rr)	30	14	^(14-30)²⁄ ₁₄	18.286
Green Round (yyR–)	30	50	^(50-30)²⁄ ₅₀	8.000
Green Wrinkled (yyrr)	10	18	^(18-10)²⁄ ₁₈	3.556
(sum) χ² =				31.687

Table 3
Phenotype	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	78	^(78-90)²⁄ _78²	0.024
Yellow Wrinkled (Y–rr)	30	14	^(14-30)²⁄ _14²	1.306
Green Round (yyR–)	30	50	^(50-30)²⁄ _50²	0.160
Green Wrinkled (yyrr)	10	18	^(18-10)²⁄ _18²	0.198
(sum) χ² =				1.687

Before you ask your instructor for a new lab partner, tell them which table is correct AND whether they can reject or fail to reject the null hypothesis using the information provided.

Table 1 with χ² = 29.867 is correct and we REJECT the null hypothesis Correct Table 2 with χ² = 31.687 is correct and we REJECT the null hypothesis Incorrect Table 3 with χ² = 1.687 is correct and we REJECT the null hypothesis Incorrect Table 1 with χ² = 29.867 is correct and we FAIL to REJECT the null hypothesis Incorrect Table 2 with χ² = 31.687 is correct and we FAIL to REJECT the null hypothesis Incorrect Table 3 with χ² = 1.687 is correct and we FAIL to REJECT the null hypothesis Incorrect MC

39da_df1f

Table of Chi-Squared (χ²) Critical Values
Degrees of Freedom	Probability
Degrees of Freedom	0.95	0.90	0.75	0.50	0.25	0.10	0.05	0.01
1	0.00	0.02	0.10	0.45	1.32	2.71	3.84	6.63
2	0.10	0.21	0.58	1.39	2.77	4.61	5.99	9.21
3	0.35	0.58	1.21	2.37	4.11	6.25	7.81	11.34
4	0.71	1.06	1.92	3.36	5.39	7.78	9.49	13.28

Table 1
Phenotype	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	83	^(83-90)²⁄ ₈₃	0.590
Yellow Wrinkled (Y–rr)	30	22	^(22-30)²⁄ ₂₂	2.909
Green Round (yyR–)	30	39	^(39-30)²⁄ ₃₉	2.077
Green Wrinkled (yyrr)	10	16	^(16-10)²⁄ ₁₆	2.250
(sum) χ² =				7.826

Table 2
Phenotype	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	83	^(83-90)²⁄ ₉₀	0.544
Yellow Wrinkled (Y–rr)	30	22	^(22-30)²⁄ ₃₀	2.133
Green Round (yyR–)	30	39	^(39-30)²⁄ ₃₀	2.700
Green Wrinkled (yyrr)	10	16	^(16-10)²⁄ ₁₀	3.600
(sum) χ² =				8.978

Table 3
Phenotype	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	83	^(83-90)⁄ ₉₀	-0.078
Yellow Wrinkled (Y–rr)	30	22	^(22-30)⁄ ₃₀	-0.267
Green Round (yyR–)	30	39	^(39-30)⁄ ₃₀	0.300
Green Wrinkled (yyrr)	10	16	^(16-10)⁄ ₁₀	0.600
(sum) χ² =				0.556

Before you ask your instructor for a new lab partner, tell them which table is correct AND whether they can reject or fail to reject the null hypothesis using the information provided.

Table 1 with χ² = 7.826 is correct and we REJECT the null hypothesis Incorrect Table 2 with χ² = 8.978 is correct and we REJECT the null hypothesis Correct Table 3 with χ² = 0.556 is correct and we REJECT the null hypothesis Incorrect Table 1 with χ² = 7.826 is correct and we FAIL to REJECT the null hypothesis Incorrect Table 2 with χ² = 8.978 is correct and we FAIL to REJECT the null hypothesis Incorrect Table 3 with χ² = 0.556 is correct and we FAIL to REJECT the null hypothesis Incorrect MC

7059_1602

Table of Chi-Squared (χ²) Critical Values
Degrees of Freedom	Probability
Degrees of Freedom	0.95	0.90	0.75	0.50	0.25	0.10	0.05	0.01
1	0.00	0.02	0.10	0.45	1.32	2.71	3.84	6.63
2	0.10	0.21	0.58	1.39	2.77	4.61	5.99	9.21
3	0.35	0.58	1.21	2.37	4.11	6.25	7.81	11.34
4	0.71	1.06	1.92	3.36	5.39	7.78	9.49	13.28

Table 1
Phenotype	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	87	^(87-90)⁄ ₉₀	-0.033
Yellow Wrinkled (Y–rr)	30	30	^(30-30)⁄ ₃₀	0.000
Green Round (yyR–)	30	31	^(31-30)⁄ ₃₀	0.033
Green Wrinkled (yyrr)	10	12	^(12-10)⁄ ₁₀	0.200
(sum) χ² =				0.200

Table 2
Phenotype	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	87	^(87-90)²⁄ ₈₇	0.103
Yellow Wrinkled (Y–rr)	30	30	^(30-30)²⁄ ₃₀	0.000
Green Round (yyR–)	30	31	^(31-30)²⁄ ₃₁	0.032
Green Wrinkled (yyrr)	10	12	^(12-10)²⁄ ₁₂	0.333
(sum) χ² =				0.469

Table 3
Phenotype	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	87	^(87-90)²⁄ ₉₀	0.100
Yellow Wrinkled (Y–rr)	30	30	^(30-30)²⁄ ₃₀	0.000
Green Round (yyR–)	30	31	^(31-30)²⁄ ₃₀	0.033
Green Wrinkled (yyrr)	10	12	^(12-10)²⁄ ₁₀	0.400
(sum) χ² =				0.533

Before you ask your instructor for a new lab partner, tell them which table is correct AND whether they can reject or fail to reject the null hypothesis using the information provided.

Table 1 with χ² = 0.200 is correct and we REJECT the null hypothesis Incorrect Table 2 with χ² = 0.469 is correct and we REJECT the null hypothesis Incorrect Table 3 with χ² = 0.533 is correct and we REJECT the null hypothesis Incorrect Table 1 with χ² = 0.200 is correct and we FAIL to REJECT the null hypothesis Incorrect Table 2 with χ² = 0.469 is correct and we FAIL to REJECT the null hypothesis Incorrect Table 3 with χ² = 0.533 is correct and we FAIL to REJECT the null hypothesis Correct MC

c5a1_d135

Table of Chi-Squared (χ²) Critical Values
Degrees of Freedom	Probability
Degrees of Freedom	0.95	0.90	0.75	0.50	0.25	0.10	0.05	0.01
1	0.00	0.02	0.10	0.45	1.32	2.71	3.84	6.63
2	0.10	0.21	0.58	1.39	2.77	4.61	5.99	9.21
3	0.35	0.58	1.21	2.37	4.11	6.25	7.81	11.34
4	0.71	1.06	1.92	3.36	5.39	7.78	9.49	13.28

Table 1
Phenotype	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	84	^(84-90)²⁄ ₈₄	0.429
Yellow Wrinkled (Y–rr)	30	21	^(21-30)²⁄ ₂₁	3.857
Green Round (yyR–)	30	36	^(36-30)²⁄ ₃₆	1.000
Green Wrinkled (yyrr)	10	19	^(19-10)²⁄ ₁₉	4.263
(sum) χ² =				9.549

Table 2
Phenotype	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	84	^(84-90)⁄ ₉₀	-0.067
Yellow Wrinkled (Y–rr)	30	21	^(21-30)⁄ ₃₀	-0.300
Green Round (yyR–)	30	36	^(36-30)⁄ ₃₀	0.200
Green Wrinkled (yyrr)	10	19	^(19-10)⁄ ₁₀	0.900
(sum) χ² =				0.733

Table 3
Phenotype	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	84	^(84-90)²⁄ ₉₀	0.400
Yellow Wrinkled (Y–rr)	30	21	^(21-30)²⁄ ₃₀	2.700
Green Round (yyR–)	30	36	^(36-30)²⁄ ₃₀	1.200
Green Wrinkled (yyrr)	10	19	^(19-10)²⁄ ₁₀	8.100
(sum) χ² =				12.400

Before you ask your instructor for a new lab partner, tell them which table is correct AND whether they can reject or fail to reject the null hypothesis using the information provided.

Table 1 with χ² = 9.549 is correct and we REJECT the null hypothesis Incorrect Table 2 with χ² = 0.733 is correct and we REJECT the null hypothesis Incorrect Table 3 with χ² = 12.400 is correct and we REJECT the null hypothesis Correct Table 1 with χ² = 9.549 is correct and we FAIL to REJECT the null hypothesis Incorrect Table 2 with χ² = 0.733 is correct and we FAIL to REJECT the null hypothesis Incorrect Table 3 with χ² = 12.400 is correct and we FAIL to REJECT the null hypothesis Incorrect MC

ebaa_8a26

Table of Chi-Squared (χ²) Critical Values
Degrees of Freedom	Probability
Degrees of Freedom	0.95	0.90	0.75	0.50	0.25	0.10	0.05	0.01
1	0.00	0.02	0.10	0.45	1.32	2.71	3.84	6.63
2	0.10	0.21	0.58	1.39	2.77	4.61	5.99	9.21
3	0.35	0.58	1.21	2.37	4.11	6.25	7.81	11.34
4	0.71	1.06	1.92	3.36	5.39	7.78	9.49	13.28

Table 1
Phenotype	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	93	^(93-90)²⁄ ₉₃	0.097
Yellow Wrinkled (Y–rr)	30	29	^(29-30)²⁄ ₂₉	0.034
Green Round (yyR–)	30	31	^(31-30)²⁄ ₃₁	0.032
Green Wrinkled (yyrr)	10	7	^(7-10)²⁄ ₇	1.286
(sum) χ² =				1.449

Table 2
Phenotype	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	93	^(93-90)²⁄ ₉₀	0.100
Yellow Wrinkled (Y–rr)	30	29	^(29-30)²⁄ ₃₀	0.033
Green Round (yyR–)	30	31	^(31-30)²⁄ ₃₀	0.033
Green Wrinkled (yyrr)	10	7	^(7-10)²⁄ ₁₀	0.900
(sum) χ² =				1.067

Table 3
Phenotype	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	93	^(93-90)⁄ ₉₀	0.033
Yellow Wrinkled (Y–rr)	30	29	^(29-30)⁄ ₃₀	-0.033
Green Round (yyR–)	30	31	^(31-30)⁄ ₃₀	0.033
Green Wrinkled (yyrr)	10	7	^(7-10)⁄ ₁₀	-0.300
(sum) χ² =				-0.267

Before you ask your instructor for a new lab partner, tell them which table is correct AND whether they can reject or fail to reject the null hypothesis using the information provided.

Table 1 with χ² = 1.449 is correct and we REJECT the null hypothesis Incorrect Table 2 with χ² = 1.067 is correct and we REJECT the null hypothesis Incorrect Table 3 with χ² = -0.267 is correct and we REJECT the null hypothesis Incorrect Table 1 with χ² = 1.449 is correct and we FAIL to REJECT the null hypothesis Incorrect Table 2 with χ² = 1.067 is correct and we FAIL to REJECT the null hypothesis Correct Table 3 with χ² = -0.267 is correct and we FAIL to REJECT the null hypothesis Incorrect MC

445d_88d4

Table of Chi-Squared (χ²) Critical Values
Degrees of Freedom	Probability
Degrees of Freedom	0.95	0.90	0.75	0.50	0.25	0.10	0.05	0.01
1	0.00	0.02	0.10	0.45	1.32	2.71	3.84	6.63
2	0.10	0.21	0.58	1.39	2.77	4.61	5.99	9.21
3	0.35	0.58	1.21	2.37	4.11	6.25	7.81	11.34
4	0.71	1.06	1.92	3.36	5.39	7.78	9.49	13.28

Table 1
Phenotype	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	76	^(76-90)²⁄ _76²	0.034
Yellow Wrinkled (Y–rr)	30	20	^(20-30)²⁄ _20²	0.250
Green Round (yyR–)	30	45	^(45-30)²⁄ _45²	0.111
Green Wrinkled (yyrr)	10	19	^(19-10)²⁄ _19²	0.224
(sum) χ² =				0.619

Table 2
Phenotype	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	76	^(76-90)²⁄ ₉₀	2.178
Yellow Wrinkled (Y–rr)	30	20	^(20-30)²⁄ ₃₀	3.333
Green Round (yyR–)	30	45	^(45-30)²⁄ ₃₀	7.500
Green Wrinkled (yyrr)	10	19	^(19-10)²⁄ ₁₀	8.100
(sum) χ² =				21.111

Table 3
Phenotype	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	76	^(76-90)⁄ ₉₀	-0.156
Yellow Wrinkled (Y–rr)	30	20	^(20-30)⁄ ₃₀	-0.333
Green Round (yyR–)	30	45	^(45-30)⁄ ₃₀	0.500
Green Wrinkled (yyrr)	10	19	^(19-10)⁄ ₁₀	0.900
(sum) χ² =				0.911

Before you ask your instructor for a new lab partner, tell them which table is correct AND whether they can reject or fail to reject the null hypothesis using the information provided.

Table 1 with χ² = 0.619 is correct and we REJECT the null hypothesis Incorrect Table 2 with χ² = 21.111 is correct and we REJECT the null hypothesis Correct Table 3 with χ² = 0.911 is correct and we REJECT the null hypothesis Incorrect Table 1 with χ² = 0.619 is correct and we FAIL to REJECT the null hypothesis Incorrect Table 2 with χ² = 21.111 is correct and we FAIL to REJECT the null hypothesis Incorrect Table 3 with χ² = 0.911 is correct and we FAIL to REJECT the null hypothesis Incorrect MC

4dd6_3d73

Table of Chi-Squared (χ²) Critical Values
Degrees of Freedom	Probability
Degrees of Freedom	0.95	0.90	0.75	0.50	0.25	0.10	0.05	0.01
1	0.00	0.02	0.10	0.45	1.32	2.71	3.84	6.63
2	0.10	0.21	0.58	1.39	2.77	4.61	5.99	9.21
3	0.35	0.58	1.21	2.37	4.11	6.25	7.81	11.34
4	0.71	1.06	1.92	3.36	5.39	7.78	9.49	13.28

Table 1
Phenotype	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	71	^(71-90)²⁄ ₉₀	4.011
Yellow Wrinkled (Y–rr)	30	28	^(28-30)²⁄ ₃₀	0.133
Green Round (yyR–)	30	45	^(45-30)²⁄ ₃₀	7.500
Green Wrinkled (yyrr)	10	16	^(16-10)²⁄ ₁₀	3.600
(sum) χ² =				15.244

Table 2
Phenotype	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	71	^(71-90)²⁄ ₇₁	5.085
Yellow Wrinkled (Y–rr)	30	28	^(28-30)²⁄ ₂₈	0.143
Green Round (yyR–)	30	45	^(45-30)²⁄ ₄₅	5.000
Green Wrinkled (yyrr)	10	16	^(16-10)²⁄ ₁₆	2.250
(sum) χ² =				12.477

Table 3
Phenotype	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	71	^(71-90)²⁄ _71²	0.072
Yellow Wrinkled (Y–rr)	30	28	^(28-30)²⁄ _28²	0.005
Green Round (yyR–)	30	45	^(45-30)²⁄ _45²	0.111
Green Wrinkled (yyrr)	10	16	^(16-10)²⁄ _16²	0.141
(sum) χ² =				0.328

Before you ask your instructor for a new lab partner, tell them which table is correct AND whether they can reject or fail to reject the null hypothesis using the information provided.

Table 1 with χ² = 15.244 is correct and we REJECT the null hypothesis Correct Table 2 with χ² = 12.477 is correct and we REJECT the null hypothesis Incorrect Table 3 with χ² = 0.328 is correct and we REJECT the null hypothesis Incorrect Table 1 with χ² = 15.244 is correct and we FAIL to REJECT the null hypothesis Incorrect Table 2 with χ² = 12.477 is correct and we FAIL to REJECT the null hypothesis Incorrect Table 3 with χ² = 0.328 is correct and we FAIL to REJECT the null hypothesis Incorrect MC

c0f6_8fe6

Table of Chi-Squared (χ²) Critical Values
Degrees of Freedom	Probability
Degrees of Freedom	0.95	0.90	0.75	0.50	0.25	0.10	0.05	0.01
1	0.00	0.02	0.10	0.45	1.32	2.71	3.84	6.63
2	0.10	0.21	0.58	1.39	2.77	4.61	5.99	9.21
3	0.35	0.58	1.21	2.37	4.11	6.25	7.81	11.34
4	0.71	1.06	1.92	3.36	5.39	7.78	9.49	13.28

Table 1
Phenotype	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	96	^(96-90)²⁄ ₉₀	0.400
Yellow Wrinkled (Y–rr)	30	30	^(30-30)²⁄ ₃₀	0.000
Green Round (yyR–)	30	20	^(20-30)²⁄ ₃₀	3.333
Green Wrinkled (yyrr)	10	14	^(14-10)²⁄ ₁₀	1.600
(sum) χ² =				5.333

Table 2
Phenotype	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	96	^(96-90)²⁄ ₉₆	0.375
Yellow Wrinkled (Y–rr)	30	30	^(30-30)²⁄ ₃₀	0.000
Green Round (yyR–)	30	20	^(20-30)²⁄ ₂₀	5.000
Green Wrinkled (yyrr)	10	14	^(14-10)²⁄ ₁₄	1.143
(sum) χ² =				6.518

Table 3
Phenotype	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	96	^(96-90)²⁄ _96²	0.004
Yellow Wrinkled (Y–rr)	30	30	^(30-30)²⁄ _30²	0.000
Green Round (yyR–)	30	20	^(20-30)²⁄ _20²	0.250
Green Wrinkled (yyrr)	10	14	^(14-10)²⁄ _14²	0.082
(sum) χ² =				0.336

Before you ask your instructor for a new lab partner, tell them which table is correct AND whether they can reject or fail to reject the null hypothesis using the information provided.

Table 1 with χ² = 5.333 is correct and we REJECT the null hypothesis Incorrect Table 2 with χ² = 6.518 is correct and we REJECT the null hypothesis Incorrect Table 3 with χ² = 0.336 is correct and we REJECT the null hypothesis Incorrect Table 1 with χ² = 5.333 is correct and we FAIL to REJECT the null hypothesis Correct Table 2 with χ² = 6.518 is correct and we FAIL to REJECT the null hypothesis Incorrect Table 3 with χ² = 0.336 is correct and we FAIL to REJECT the null hypothesis Incorrect MC

dfce_d515

Table of Chi-Squared (χ²) Critical Values
Degrees of Freedom	Probability
Degrees of Freedom	0.95	0.90	0.75	0.50	0.25	0.10	0.05	0.01
1	0.00	0.02	0.10	0.45	1.32	2.71	3.84	6.63
2	0.10	0.21	0.58	1.39	2.77	4.61	5.99	9.21
3	0.35	0.58	1.21	2.37	4.11	6.25	7.81	11.34
4	0.71	1.06	1.92	3.36	5.39	7.78	9.49	13.28

Table 1
Phenotype	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	96	^(96-90)²⁄ ₉₀	0.400
Yellow Wrinkled (Y–rr)	30	22	^(22-30)²⁄ ₃₀	2.133
Green Round (yyR–)	30	37	^(37-30)²⁄ ₃₀	1.633
Green Wrinkled (yyrr)	10	5	^(5-10)²⁄ ₁₀	2.500
(sum) χ² =				6.667

Table 2
Phenotype	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	96	^(96-90)²⁄ _96²	0.004
Yellow Wrinkled (Y–rr)	30	22	^(22-30)²⁄ _22²	0.132
Green Round (yyR–)	30	37	^(37-30)²⁄ _37²	0.036
Green Wrinkled (yyrr)	10	5	^(5-10)²⁄ _5²	1.000
(sum) χ² =				1.172

Table 3
Phenotype	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	96	^(96-90)⁄ ₉₀	0.067
Yellow Wrinkled (Y–rr)	30	22	^(22-30)⁄ ₃₀	-0.267
Green Round (yyR–)	30	37	^(37-30)⁄ ₃₀	0.233
Green Wrinkled (yyrr)	10	5	^(5-10)⁄ ₁₀	-0.500
(sum) χ² =				-0.467

Before you ask your instructor for a new lab partner, tell them which table is correct AND whether they can reject or fail to reject the null hypothesis using the information provided.

Table 1 with χ² = 6.667 is correct and we REJECT the null hypothesis Incorrect Table 2 with χ² = 1.172 is correct and we REJECT the null hypothesis Incorrect Table 3 with χ² = -0.467 is correct and we REJECT the null hypothesis Incorrect Table 1 with χ² = 6.667 is correct and we FAIL to REJECT the null hypothesis Correct Table 2 with χ² = 1.172 is correct and we FAIL to REJECT the null hypothesis Incorrect Table 3 with χ² = -0.467 is correct and we FAIL to REJECT the null hypothesis Incorrect MC

abf6_cd7f

Table of Chi-Squared (χ²) Critical Values
Degrees of Freedom	Probability
Degrees of Freedom	0.95	0.90	0.75	0.50	0.25	0.10	0.05	0.01
1	0.00	0.02	0.10	0.45	1.32	2.71	3.84	6.63
2	0.10	0.21	0.58	1.39	2.77	4.61	5.99	9.21
3	0.35	0.58	1.21	2.37	4.11	6.25	7.81	11.34
4	0.71	1.06	1.92	3.36	5.39	7.78	9.49	13.28

Table 1
Phenotype	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	87	^(87-90)²⁄ _87²	0.001
Yellow Wrinkled (Y–rr)	30	23	^(23-30)²⁄ _23²	0.093
Green Round (yyR–)	30	32	^(32-30)²⁄ _32²	0.004
Green Wrinkled (yyrr)	10	18	^(18-10)²⁄ _18²	0.198
(sum) χ² =				0.295

Table 2
Phenotype	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	87	^(87-90)²⁄ ₉₀	0.100
Yellow Wrinkled (Y–rr)	30	23	^(23-30)²⁄ ₃₀	1.633
Green Round (yyR–)	30	32	^(32-30)²⁄ ₃₀	0.133
Green Wrinkled (yyrr)	10	18	^(18-10)²⁄ ₁₀	6.400
(sum) χ² =				8.267

Table 3
Phenotype	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	87	^(87-90)²⁄ ₈₇	0.103
Yellow Wrinkled (Y–rr)	30	23	^(23-30)²⁄ ₂₃	2.130
Green Round (yyR–)	30	32	^(32-30)²⁄ ₃₂	0.125
Green Wrinkled (yyrr)	10	18	^(18-10)²⁄ ₁₈	3.556
(sum) χ² =				5.914

Before you ask your instructor for a new lab partner, tell them which table is correct AND whether they can reject or fail to reject the null hypothesis using the information provided.

Table 1 with χ² = 0.295 is correct and we REJECT the null hypothesis Incorrect Table 2 with χ² = 8.267 is correct and we REJECT the null hypothesis Correct Table 3 with χ² = 5.914 is correct and we REJECT the null hypothesis Incorrect Table 1 with χ² = 0.295 is correct and we FAIL to REJECT the null hypothesis Incorrect Table 2 with χ² = 8.267 is correct and we FAIL to REJECT the null hypothesis Incorrect Table 3 with χ² = 5.914 is correct and we FAIL to REJECT the null hypothesis Incorrect MC

8510_87dd

Table of Chi-Squared (χ²) Critical Values
Degrees of Freedom	Probability
Degrees of Freedom	0.95	0.90	0.75	0.50	0.25	0.10	0.05	0.01
1	0.00	0.02	0.10	0.45	1.32	2.71	3.84	6.63
2	0.10	0.21	0.58	1.39	2.77	4.61	5.99	9.21
3	0.35	0.58	1.21	2.37	4.11	6.25	7.81	11.34
4	0.71	1.06	1.92	3.36	5.39	7.78	9.49	13.28

Table 1
Phenotype	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	85	^(85-90)²⁄ _85²	0.003
Yellow Wrinkled (Y–rr)	30	19	^(19-30)²⁄ _19²	0.335
Green Round (yyR–)	30	37	^(37-30)²⁄ _37²	0.036
Green Wrinkled (yyrr)	10	19	^(19-10)²⁄ _19²	0.224
(sum) χ² =				0.599

Table 2
Phenotype	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	85	^(85-90)²⁄ ₉₀	0.278
Yellow Wrinkled (Y–rr)	30	19	^(19-30)²⁄ ₃₀	4.033
Green Round (yyR–)	30	37	^(37-30)²⁄ ₃₀	1.633
Green Wrinkled (yyrr)	10	19	^(19-10)²⁄ ₁₀	8.100
(sum) χ² =				14.044

Table 3
Phenotype	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	85	^(85-90)⁄ ₉₀	-0.056
Yellow Wrinkled (Y–rr)	30	19	^(19-30)⁄ ₃₀	-0.367
Green Round (yyR–)	30	37	^(37-30)⁄ ₃₀	0.233
Green Wrinkled (yyrr)	10	19	^(19-10)⁄ ₁₀	0.900
(sum) χ² =				0.711

Before you ask your instructor for a new lab partner, tell them which table is correct AND whether they can reject or fail to reject the null hypothesis using the information provided.

Table 1 with χ² = 0.599 is correct and we REJECT the null hypothesis Incorrect Table 2 with χ² = 14.044 is correct and we REJECT the null hypothesis Correct Table 3 with χ² = 0.711 is correct and we REJECT the null hypothesis Incorrect Table 1 with χ² = 0.599 is correct and we FAIL to REJECT the null hypothesis Incorrect Table 2 with χ² = 14.044 is correct and we FAIL to REJECT the null hypothesis Incorrect Table 3 with χ² = 0.711 is correct and we FAIL to REJECT the null hypothesis Incorrect MC

ac95_1ae5

Table of Chi-Squared (χ²) Critical Values
Degrees of Freedom	Probability
Degrees of Freedom	0.95	0.90	0.75	0.50	0.25	0.10	0.05	0.01
1	0.00	0.02	0.10	0.45	1.32	2.71	3.84	6.63
2	0.10	0.21	0.58	1.39	2.77	4.61	5.99	9.21
3	0.35	0.58	1.21	2.37	4.11	6.25	7.81	11.34
4	0.71	1.06	1.92	3.36	5.39	7.78	9.49	13.28

Table 1
Phenotype	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	95	^(95-90)⁄ ₉₀	0.056
Yellow Wrinkled (Y–rr)	30	32	^(32-30)⁄ ₃₀	0.067
Green Round (yyR–)	30	25	^(25-30)⁄ ₃₀	-0.167
Green Wrinkled (yyrr)	10	8	^(8-10)⁄ ₁₀	-0.200
(sum) χ² =				-0.244

Table 2
Phenotype	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	95	^(95-90)²⁄ ₉₀	0.278
Yellow Wrinkled (Y–rr)	30	32	^(32-30)²⁄ ₃₀	0.133
Green Round (yyR–)	30	25	^(25-30)²⁄ ₃₀	0.833
Green Wrinkled (yyrr)	10	8	^(8-10)²⁄ ₁₀	0.400
(sum) χ² =				1.644

Table 3
Phenotype	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	95	^(95-90)²⁄ ₉₅	0.263
Yellow Wrinkled (Y–rr)	30	32	^(32-30)²⁄ ₃₂	0.125
Green Round (yyR–)	30	25	^(25-30)²⁄ ₂₅	1.000
Green Wrinkled (yyrr)	10	8	^(8-10)²⁄ ₈	0.500
(sum) χ² =				1.888

Before you ask your instructor for a new lab partner, tell them which table is correct AND whether they can reject or fail to reject the null hypothesis using the information provided.

Table 1 with χ² = -0.244 is correct and we REJECT the null hypothesis Incorrect Table 2 with χ² = 1.644 is correct and we REJECT the null hypothesis Incorrect Table 3 with χ² = 1.888 is correct and we REJECT the null hypothesis Incorrect Table 1 with χ² = -0.244 is correct and we FAIL to REJECT the null hypothesis Incorrect Table 2 with χ² = 1.644 is correct and we FAIL to REJECT the null hypothesis Correct Table 3 with χ² = 1.888 is correct and we FAIL to REJECT the null hypothesis Incorrect MC

9137_1932

Table of Chi-Squared (χ²) Critical Values
Degrees of Freedom	Probability
Degrees of Freedom	0.95	0.90	0.75	0.50	0.25	0.10	0.05	0.01
1	0.00	0.02	0.10	0.45	1.32	2.71	3.84	6.63
2	0.10	0.21	0.58	1.39	2.77	4.61	5.99	9.21
3	0.35	0.58	1.21	2.37	4.11	6.25	7.81	11.34
4	0.71	1.06	1.92	3.36	5.39	7.78	9.49	13.28

Table 1
Phenotype	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	84	^(84-90)²⁄ ₈₄	0.429
Yellow Wrinkled (Y–rr)	30	12	^(12-30)²⁄ ₁₂	27.000
Green Round (yyR–)	30	46	^(46-30)²⁄ ₄₆	5.565
Green Wrinkled (yyrr)	10	18	^(18-10)²⁄ ₁₈	3.556
(sum) χ² =				36.549

Table 2
Phenotype	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	84	^(84-90)²⁄ _84²	0.005
Yellow Wrinkled (Y–rr)	30	12	^(12-30)²⁄ _12²	2.250
Green Round (yyR–)	30	46	^(46-30)²⁄ _46²	0.121
Green Wrinkled (yyrr)	10	18	^(18-10)²⁄ _18²	0.198
(sum) χ² =				2.574

Table 3
Phenotype	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	84	^(84-90)²⁄ ₉₀	0.400
Yellow Wrinkled (Y–rr)	30	12	^(12-30)²⁄ ₃₀	10.800
Green Round (yyR–)	30	46	^(46-30)²⁄ ₃₀	8.533
Green Wrinkled (yyrr)	10	18	^(18-10)²⁄ ₁₀	6.400
(sum) χ² =				26.133

Before you ask your instructor for a new lab partner, tell them which table is correct AND whether they can reject or fail to reject the null hypothesis using the information provided.

Table 1 with χ² = 36.549 is correct and we REJECT the null hypothesis Incorrect Table 2 with χ² = 2.574 is correct and we REJECT the null hypothesis Incorrect Table 3 with χ² = 26.133 is correct and we REJECT the null hypothesis Correct Table 1 with χ² = 36.549 is correct and we FAIL to REJECT the null hypothesis Incorrect Table 2 with χ² = 2.574 is correct and we FAIL to REJECT the null hypothesis Incorrect Table 3 with χ² = 26.133 is correct and we FAIL to REJECT the null hypothesis Incorrect MC

9a50_b8a3

Table of Chi-Squared (χ²) Critical Values
Degrees of Freedom	Probability
Degrees of Freedom	0.95	0.90	0.75	0.50	0.25	0.10	0.05	0.01
1	0.00	0.02	0.10	0.45	1.32	2.71	3.84	6.63
2	0.10	0.21	0.58	1.39	2.77	4.61	5.99	9.21
3	0.35	0.58	1.21	2.37	4.11	6.25	7.81	11.34
4	0.71	1.06	1.92	3.36	5.39	7.78	9.49	13.28

Table 1
Phenotype	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	76	^(76-90)²⁄ _76²	0.034
Yellow Wrinkled (Y–rr)	30	20	^(20-30)²⁄ _20²	0.250
Green Round (yyR–)	30	46	^(46-30)²⁄ _46²	0.121
Green Wrinkled (yyrr)	10	18	^(18-10)²⁄ _18²	0.198
(sum) χ² =				0.602

Table 2
Phenotype	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	76	^(76-90)²⁄ ₇₆	2.579
Yellow Wrinkled (Y–rr)	30	20	^(20-30)²⁄ ₂₀	5.000
Green Round (yyR–)	30	46	^(46-30)²⁄ ₄₆	5.565
Green Wrinkled (yyrr)	10	18	^(18-10)²⁄ ₁₈	3.556
(sum) χ² =				16.700

Table 3
Phenotype	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	76	^(76-90)²⁄ ₉₀	2.178
Yellow Wrinkled (Y–rr)	30	20	^(20-30)²⁄ ₃₀	3.333
Green Round (yyR–)	30	46	^(46-30)²⁄ ₃₀	8.533
Green Wrinkled (yyrr)	10	18	^(18-10)²⁄ ₁₀	6.400
(sum) χ² =				20.444

Before you ask your instructor for a new lab partner, tell them which table is correct AND whether they can reject or fail to reject the null hypothesis using the information provided.

Table 1 with χ² = 0.602 is correct and we REJECT the null hypothesis Incorrect Table 2 with χ² = 16.700 is correct and we REJECT the null hypothesis Incorrect Table 3 with χ² = 20.444 is correct and we REJECT the null hypothesis Correct Table 1 with χ² = 0.602 is correct and we FAIL to REJECT the null hypothesis Incorrect Table 2 with χ² = 16.700 is correct and we FAIL to REJECT the null hypothesis Incorrect Table 3 with χ² = 20.444 is correct and we FAIL to REJECT the null hypothesis Incorrect MC

3d3d_0f18

Table of Chi-Squared (χ²) Critical Values
Degrees of Freedom	Probability
Degrees of Freedom	0.95	0.90	0.75	0.50	0.25	0.10	0.05	0.01
1	0.00	0.02	0.10	0.45	1.32	2.71	3.84	6.63
2	0.10	0.21	0.58	1.39	2.77	4.61	5.99	9.21
3	0.35	0.58	1.21	2.37	4.11	6.25	7.81	11.34
4	0.71	1.06	1.92	3.36	5.39	7.78	9.49	13.28

Table 1
Phenotype	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	86	^(86-90)²⁄ ₉₀	0.178
Yellow Wrinkled (Y–rr)	30	33	^(33-30)²⁄ ₃₀	0.300
Green Round (yyR–)	30	28	^(28-30)²⁄ ₃₀	0.133
Green Wrinkled (yyrr)	10	13	^(13-10)²⁄ ₁₀	0.900
(sum) χ² =				1.511

Table 2
Phenotype	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	86	^(86-90)²⁄ _86²	0.002
Yellow Wrinkled (Y–rr)	30	33	^(33-30)²⁄ _33²	0.008
Green Round (yyR–)	30	28	^(28-30)²⁄ _28²	0.005
Green Wrinkled (yyrr)	10	13	^(13-10)²⁄ _13²	0.053
(sum) χ² =				0.069

Table 3
Phenotype	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	86	^(86-90)⁄ ₉₀	-0.044
Yellow Wrinkled (Y–rr)	30	33	^(33-30)⁄ ₃₀	0.100
Green Round (yyR–)	30	28	^(28-30)⁄ ₃₀	-0.067
Green Wrinkled (yyrr)	10	13	^(13-10)⁄ ₁₀	0.300
(sum) χ² =				0.289

Before you ask your instructor for a new lab partner, tell them which table is correct AND whether they can reject or fail to reject the null hypothesis using the information provided.

Table 1 with χ² = 1.511 is correct and we REJECT the null hypothesis Incorrect Table 2 with χ² = 0.069 is correct and we REJECT the null hypothesis Incorrect Table 3 with χ² = 0.289 is correct and we REJECT the null hypothesis Incorrect Table 1 with χ² = 1.511 is correct and we FAIL to REJECT the null hypothesis Correct Table 2 with χ² = 0.069 is correct and we FAIL to REJECT the null hypothesis Incorrect Table 3 with χ² = 0.289 is correct and we FAIL to REJECT the null hypothesis Incorrect MC

912d_8e7d

Table of Chi-Squared (χ²) Critical Values
Degrees of Freedom	Probability
Degrees of Freedom	0.95	0.90	0.75	0.50	0.25	0.10	0.05	0.01
1	0.00	0.02	0.10	0.45	1.32	2.71	3.84	6.63
2	0.10	0.21	0.58	1.39	2.77	4.61	5.99	9.21
3	0.35	0.58	1.21	2.37	4.11	6.25	7.81	11.34
4	0.71	1.06	1.92	3.36	5.39	7.78	9.49	13.28

Table 1
Phenotype	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	93	^(93-90)⁄ ₉₀	0.033
Yellow Wrinkled (Y–rr)	30	13	^(13-30)⁄ ₃₀	-0.567
Green Round (yyR–)	30	39	^(39-30)⁄ ₃₀	0.300
Green Wrinkled (yyrr)	10	15	^(15-10)⁄ ₁₀	0.500
(sum) χ² =				0.267

Table 2
Phenotype	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	93	^(93-90)²⁄ ₉₃	0.097
Yellow Wrinkled (Y–rr)	30	13	^(13-30)²⁄ ₁₃	22.231
Green Round (yyR–)	30	39	^(39-30)²⁄ ₃₉	2.077
Green Wrinkled (yyrr)	10	15	^(15-10)²⁄ ₁₅	1.667
(sum) χ² =				26.071

Table 3
Phenotype	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	93	^(93-90)²⁄ ₉₀	0.100
Yellow Wrinkled (Y–rr)	30	13	^(13-30)²⁄ ₃₀	9.633
Green Round (yyR–)	30	39	^(39-30)²⁄ ₃₀	2.700
Green Wrinkled (yyrr)	10	15	^(15-10)²⁄ ₁₀	2.500
(sum) χ² =				14.933

Before you ask your instructor for a new lab partner, tell them which table is correct AND whether they can reject or fail to reject the null hypothesis using the information provided.

Table 1 with χ² = 0.267 is correct and we REJECT the null hypothesis Incorrect Table 2 with χ² = 26.071 is correct and we REJECT the null hypothesis Incorrect Table 3 with χ² = 14.933 is correct and we REJECT the null hypothesis Correct Table 1 with χ² = 0.267 is correct and we FAIL to REJECT the null hypothesis Incorrect Table 2 with χ² = 26.071 is correct and we FAIL to REJECT the null hypothesis Incorrect Table 3 with χ² = 14.933 is correct and we FAIL to REJECT the null hypothesis Incorrect MC

fed9_28e4

Table of Chi-Squared (χ²) Critical Values
Degrees of Freedom	Probability
Degrees of Freedom	0.95	0.90	0.75	0.50	0.25	0.10	0.05	0.01
1	0.00	0.02	0.10	0.45	1.32	2.71	3.84	6.63
2	0.10	0.21	0.58	1.39	2.77	4.61	5.99	9.21
3	0.35	0.58	1.21	2.37	4.11	6.25	7.81	11.34
4	0.71	1.06	1.92	3.36	5.39	7.78	9.49	13.28

Table 1
Phenotype	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	85	^(85-90)⁄ ₉₀	-0.056
Yellow Wrinkled (Y–rr)	30	28	^(28-30)⁄ ₃₀	-0.067
Green Round (yyR–)	30	39	^(39-30)⁄ ₃₀	0.300
Green Wrinkled (yyrr)	10	8	^(8-10)⁄ ₁₀	-0.200
(sum) χ² =				-0.022

Table 2
Phenotype	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	85	^(85-90)²⁄ _85²	0.003
Yellow Wrinkled (Y–rr)	30	28	^(28-30)²⁄ _28²	0.005
Green Round (yyR–)	30	39	^(39-30)²⁄ _39²	0.053
Green Wrinkled (yyrr)	10	8	^(8-10)²⁄ _8²	0.062
(sum) χ² =				0.124

Table 3
Phenotype	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	85	^(85-90)²⁄ ₉₀	0.278
Yellow Wrinkled (Y–rr)	30	28	^(28-30)²⁄ ₃₀	0.133
Green Round (yyR–)	30	39	^(39-30)²⁄ ₃₀	2.700
Green Wrinkled (yyrr)	10	8	^(8-10)²⁄ ₁₀	0.400
(sum) χ² =				3.511

Before you ask your instructor for a new lab partner, tell them which table is correct AND whether they can reject or fail to reject the null hypothesis using the information provided.

Table 1 with χ² = -0.022 is correct and we REJECT the null hypothesis Incorrect Table 2 with χ² = 0.124 is correct and we REJECT the null hypothesis Incorrect Table 3 with χ² = 3.511 is correct and we REJECT the null hypothesis Incorrect Table 1 with χ² = -0.022 is correct and we FAIL to REJECT the null hypothesis Incorrect Table 2 with χ² = 0.124 is correct and we FAIL to REJECT the null hypothesis Incorrect Table 3 with χ² = 3.511 is correct and we FAIL to REJECT the null hypothesis Correct MC

e607_7409

Table of Chi-Squared (χ²) Critical Values
Degrees of Freedom	Probability
Degrees of Freedom	0.95	0.90	0.75	0.50	0.25	0.10	0.05	0.01
1	0.00	0.02	0.10	0.45	1.32	2.71	3.84	6.63
2	0.10	0.21	0.58	1.39	2.77	4.61	5.99	9.21
3	0.35	0.58	1.21	2.37	4.11	6.25	7.81	11.34
4	0.71	1.06	1.92	3.36	5.39	7.78	9.49	13.28

Table 1
Phenotype	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	83	^(83-90)²⁄ ₉₀	0.544
Yellow Wrinkled (Y–rr)	30	24	^(24-30)²⁄ ₃₀	1.200
Green Round (yyR–)	30	34	^(34-30)²⁄ ₃₀	0.533
Green Wrinkled (yyrr)	10	19	^(19-10)²⁄ ₁₀	8.100
(sum) χ² =				10.378

Table 2
Phenotype	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	83	^(83-90)²⁄ _83²	0.007
Yellow Wrinkled (Y–rr)	30	24	^(24-30)²⁄ _24²	0.062
Green Round (yyR–)	30	34	^(34-30)²⁄ _34²	0.014
Green Wrinkled (yyrr)	10	19	^(19-10)²⁄ _19²	0.224
(sum) χ² =				0.308

Table 3
Phenotype	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	83	^(83-90)⁄ ₉₀	-0.078
Yellow Wrinkled (Y–rr)	30	24	^(24-30)⁄ ₃₀	-0.200
Green Round (yyR–)	30	34	^(34-30)⁄ ₃₀	0.133
Green Wrinkled (yyrr)	10	19	^(19-10)⁄ ₁₀	0.900
(sum) χ² =				0.756

Before you ask your instructor for a new lab partner, tell them which table is correct AND whether they can reject or fail to reject the null hypothesis using the information provided.

Table 1 with χ² = 10.378 is correct and we REJECT the null hypothesis Correct Table 2 with χ² = 0.308 is correct and we REJECT the null hypothesis Incorrect Table 3 with χ² = 0.756 is correct and we REJECT the null hypothesis Incorrect Table 1 with χ² = 10.378 is correct and we FAIL to REJECT the null hypothesis Incorrect Table 2 with χ² = 0.308 is correct and we FAIL to REJECT the null hypothesis Incorrect Table 3 with χ² = 0.756 is correct and we FAIL to REJECT the null hypothesis Incorrect MC

ac86_6457

Table of Chi-Squared (χ²) Critical Values
Degrees of Freedom	Probability
Degrees of Freedom	0.95	0.90	0.75	0.50	0.25	0.10	0.05	0.01
1	0.00	0.02	0.10	0.45	1.32	2.71	3.84	6.63
2	0.10	0.21	0.58	1.39	2.77	4.61	5.99	9.21
3	0.35	0.58	1.21	2.37	4.11	6.25	7.81	11.34
4	0.71	1.06	1.92	3.36	5.39	7.78	9.49	13.28

Table 1
Phenotype	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	77	^(77-90)²⁄ _77²	0.029
Yellow Wrinkled (Y–rr)	30	16	^(16-30)²⁄ _16²	0.766
Green Round (yyR–)	30	49	^(49-30)²⁄ _49²	0.150
Green Wrinkled (yyrr)	10	18	^(18-10)²⁄ _18²	0.198
(sum) χ² =				1.142

Table 2
Phenotype	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	77	^(77-90)²⁄ ₉₀	1.878
Yellow Wrinkled (Y–rr)	30	16	^(16-30)²⁄ ₃₀	6.533
Green Round (yyR–)	30	49	^(49-30)²⁄ ₃₀	12.033
Green Wrinkled (yyrr)	10	18	^(18-10)²⁄ ₁₀	6.400
(sum) χ² =				26.844

Table 3
Phenotype	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	77	^(77-90)²⁄ ₇₇	2.195
Yellow Wrinkled (Y–rr)	30	16	^(16-30)²⁄ ₁₆	12.250
Green Round (yyR–)	30	49	^(49-30)²⁄ ₄₉	7.367
Green Wrinkled (yyrr)	10	18	^(18-10)²⁄ ₁₈	3.556
(sum) χ² =				25.368

Before you ask your instructor for a new lab partner, tell them which table is correct AND whether they can reject or fail to reject the null hypothesis using the information provided.

Table 1 with χ² = 1.142 is correct and we REJECT the null hypothesis Incorrect Table 2 with χ² = 26.844 is correct and we REJECT the null hypothesis Correct Table 3 with χ² = 25.368 is correct and we REJECT the null hypothesis Incorrect Table 1 with χ² = 1.142 is correct and we FAIL to REJECT the null hypothesis Incorrect Table 2 with χ² = 26.844 is correct and we FAIL to REJECT the null hypothesis Incorrect Table 3 with χ² = 25.368 is correct and we FAIL to REJECT the null hypothesis Incorrect MC

80a5_898f

Table of Chi-Squared (χ²) Critical Values
Degrees of Freedom	Probability
Degrees of Freedom	0.95	0.90	0.75	0.50	0.25	0.10	0.05	0.01
1	0.00	0.02	0.10	0.45	1.32	2.71	3.84	6.63
2	0.10	0.21	0.58	1.39	2.77	4.61	5.99	9.21
3	0.35	0.58	1.21	2.37	4.11	6.25	7.81	11.34
4	0.71	1.06	1.92	3.36	5.39	7.78	9.49	13.28

Table 1
Phenotype	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	84	^(84-90)²⁄ ₉₀	0.400
Yellow Wrinkled (Y–rr)	30	19	^(19-30)²⁄ ₃₀	4.033
Green Round (yyR–)	30	38	^(38-30)²⁄ ₃₀	2.133
Green Wrinkled (yyrr)	10	19	^(19-10)²⁄ ₁₀	8.100
(sum) χ² =				14.667

Table 2
Phenotype	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	84	^(84-90)²⁄ _84²	0.005
Yellow Wrinkled (Y–rr)	30	19	^(19-30)²⁄ _19²	0.335
Green Round (yyR–)	30	38	^(38-30)²⁄ _38²	0.044
Green Wrinkled (yyrr)	10	19	^(19-10)²⁄ _19²	0.224
(sum) χ² =				0.609

Table 3
Phenotype	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	84	^(84-90)⁄ ₉₀	-0.067
Yellow Wrinkled (Y–rr)	30	19	^(19-30)⁄ ₃₀	-0.367
Green Round (yyR–)	30	38	^(38-30)⁄ ₃₀	0.267
Green Wrinkled (yyrr)	10	19	^(19-10)⁄ ₁₀	0.900
(sum) χ² =				0.733

Before you ask your instructor for a new lab partner, tell them which table is correct AND whether they can reject or fail to reject the null hypothesis using the information provided.

Table 1 with χ² = 14.667 is correct and we REJECT the null hypothesis Correct Table 2 with χ² = 0.609 is correct and we REJECT the null hypothesis Incorrect Table 3 with χ² = 0.733 is correct and we REJECT the null hypothesis Incorrect Table 1 with χ² = 14.667 is correct and we FAIL to REJECT the null hypothesis Incorrect Table 2 with χ² = 0.609 is correct and we FAIL to REJECT the null hypothesis Incorrect Table 3 with χ² = 0.733 is correct and we FAIL to REJECT the null hypothesis Incorrect MC

f346_46da

Table of Chi-Squared (χ²) Critical Values
Degrees of Freedom	Probability
Degrees of Freedom	0.95	0.90	0.75	0.50	0.25	0.10	0.05	0.01
1	0.00	0.02	0.10	0.45	1.32	2.71	3.84	6.63
2	0.10	0.21	0.58	1.39	2.77	4.61	5.99	9.21
3	0.35	0.58	1.21	2.37	4.11	6.25	7.81	11.34
4	0.71	1.06	1.92	3.36	5.39	7.78	9.49	13.28

Table 1
Phenotype	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	94	^(94-90)²⁄ _94²	0.002
Yellow Wrinkled (Y–rr)	30	26	^(26-30)²⁄ _26²	0.024
Green Round (yyR–)	30	27	^(27-30)²⁄ _27²	0.012
Green Wrinkled (yyrr)	10	13	^(13-10)²⁄ _13²	0.053
(sum) χ² =				0.091

Table 2
Phenotype	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	94	^(94-90)⁄ ₉₀	0.044
Yellow Wrinkled (Y–rr)	30	26	^(26-30)⁄ ₃₀	-0.133
Green Round (yyR–)	30	27	^(27-30)⁄ ₃₀	-0.100
Green Wrinkled (yyrr)	10	13	^(13-10)⁄ ₁₀	0.300
(sum) χ² =				0.111

Table 3
Phenotype	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	94	^(94-90)²⁄ ₉₀	0.178
Yellow Wrinkled (Y–rr)	30	26	^(26-30)²⁄ ₃₀	0.533
Green Round (yyR–)	30	27	^(27-30)²⁄ ₃₀	0.300
Green Wrinkled (yyrr)	10	13	^(13-10)²⁄ ₁₀	0.900
(sum) χ² =				1.911

Before you ask your instructor for a new lab partner, tell them which table is correct AND whether they can reject or fail to reject the null hypothesis using the information provided.

Table 1 with χ² = 0.091 is correct and we REJECT the null hypothesis Incorrect Table 2 with χ² = 0.111 is correct and we REJECT the null hypothesis Incorrect Table 3 with χ² = 1.911 is correct and we REJECT the null hypothesis Incorrect Table 1 with χ² = 0.091 is correct and we FAIL to REJECT the null hypothesis Incorrect Table 2 with χ² = 0.111 is correct and we FAIL to REJECT the null hypothesis Incorrect Table 3 with χ² = 1.911 is correct and we FAIL to REJECT the null hypothesis Correct MC

52ff_99d1

Table of Chi-Squared (χ²) Critical Values
Degrees of Freedom	Probability
Degrees of Freedom	0.95	0.90	0.75	0.50	0.25	0.10	0.05	0.01
1	0.00	0.02	0.10	0.45	1.32	2.71	3.84	6.63
2	0.10	0.21	0.58	1.39	2.77	4.61	5.99	9.21
3	0.35	0.58	1.21	2.37	4.11	6.25	7.81	11.34
4	0.71	1.06	1.92	3.36	5.39	7.78	9.49	13.28

Table 1
Phenotype	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	102	^(102-90)⁄ ₉₀	0.133
Yellow Wrinkled (Y–rr)	30	24	^(24-30)⁄ ₃₀	-0.200
Green Round (yyR–)	30	22	^(22-30)⁄ ₃₀	-0.267
Green Wrinkled (yyrr)	10	12	^(12-10)⁄ ₁₀	0.200
(sum) χ² =				-0.133

Table 2
Phenotype	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	102	^(102-90)²⁄ ₁₀₂	1.412
Yellow Wrinkled (Y–rr)	30	24	^(24-30)²⁄ ₂₄	1.500
Green Round (yyR–)	30	22	^(22-30)²⁄ ₂₂	2.909
Green Wrinkled (yyrr)	10	12	^(12-10)²⁄ ₁₂	0.333
(sum) χ² =				6.154

Table 3
Phenotype	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	102	^(102-90)²⁄ ₉₀	1.600
Yellow Wrinkled (Y–rr)	30	24	^(24-30)²⁄ ₃₀	1.200
Green Round (yyR–)	30	22	^(22-30)²⁄ ₃₀	2.133
Green Wrinkled (yyrr)	10	12	^(12-10)²⁄ ₁₀	0.400
(sum) χ² =				5.333

Before you ask your instructor for a new lab partner, tell them which table is correct AND whether they can reject or fail to reject the null hypothesis using the information provided.

Table 1 with χ² = -0.133 is correct and we REJECT the null hypothesis Incorrect Table 2 with χ² = 6.154 is correct and we REJECT the null hypothesis Incorrect Table 3 with χ² = 5.333 is correct and we REJECT the null hypothesis Incorrect Table 1 with χ² = -0.133 is correct and we FAIL to REJECT the null hypothesis Incorrect Table 2 with χ² = 6.154 is correct and we FAIL to REJECT the null hypothesis Incorrect Table 3 with χ² = 5.333 is correct and we FAIL to REJECT the null hypothesis Correct MC

00f6_a2d5

Table of Chi-Squared (χ²) Critical Values
Degrees of Freedom	Probability
Degrees of Freedom	0.95	0.90	0.75	0.50	0.25	0.10	0.05	0.01
1	0.00	0.02	0.10	0.45	1.32	2.71	3.84	6.63
2	0.10	0.21	0.58	1.39	2.77	4.61	5.99	9.21
3	0.35	0.58	1.21	2.37	4.11	6.25	7.81	11.34
4	0.71	1.06	1.92	3.36	5.39	7.78	9.49	13.28

Table 1
Phenotype	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	79	^(79-90)²⁄ ₉₀	1.344
Yellow Wrinkled (Y–rr)	30	22	^(22-30)²⁄ ₃₀	2.133
Green Round (yyR–)	30	40	^(40-30)²⁄ ₃₀	3.333
Green Wrinkled (yyrr)	10	19	^(19-10)²⁄ ₁₀	8.100
(sum) χ² =				14.911

Table 2
Phenotype	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	79	^(79-90)²⁄ _79²	0.019
Yellow Wrinkled (Y–rr)	30	22	^(22-30)²⁄ _22²	0.132
Green Round (yyR–)	30	40	^(40-30)²⁄ _40²	0.062
Green Wrinkled (yyrr)	10	19	^(19-10)²⁄ _19²	0.224
(sum) χ² =				0.438

Table 3
Phenotype	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	79	^(79-90)⁄ ₉₀	-0.122
Yellow Wrinkled (Y–rr)	30	22	^(22-30)⁄ ₃₀	-0.267
Green Round (yyR–)	30	40	^(40-30)⁄ ₃₀	0.333
Green Wrinkled (yyrr)	10	19	^(19-10)⁄ ₁₀	0.900
(sum) χ² =				0.844

Before you ask your instructor for a new lab partner, tell them which table is correct AND whether they can reject or fail to reject the null hypothesis using the information provided.

Table 1 with χ² = 14.911 is correct and we REJECT the null hypothesis Correct Table 2 with χ² = 0.438 is correct and we REJECT the null hypothesis Incorrect Table 3 with χ² = 0.844 is correct and we REJECT the null hypothesis Incorrect Table 1 with χ² = 14.911 is correct and we FAIL to REJECT the null hypothesis Incorrect Table 2 with χ² = 0.438 is correct and we FAIL to REJECT the null hypothesis Incorrect Table 3 with χ² = 0.844 is correct and we FAIL to REJECT the null hypothesis Incorrect MC

a706_c906

Table of Chi-Squared (χ²) Critical Values
Degrees of Freedom	Probability
Degrees of Freedom	0.95	0.90	0.75	0.50	0.25	0.10	0.05	0.01
1	0.00	0.02	0.10	0.45	1.32	2.71	3.84	6.63
2	0.10	0.21	0.58	1.39	2.77	4.61	5.99	9.21
3	0.35	0.58	1.21	2.37	4.11	6.25	7.81	11.34
4	0.71	1.06	1.92	3.36	5.39	7.78	9.49	13.28

Table 1
Phenotype	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	94	^(94-90)²⁄ ₉₄	0.170
Yellow Wrinkled (Y–rr)	30	28	^(28-30)²⁄ ₂₈	0.143
Green Round (yyR–)	30	24	^(24-30)²⁄ ₂₄	1.500
Green Wrinkled (yyrr)	10	14	^(14-10)²⁄ ₁₄	1.143
(sum) χ² =				2.956

Table 2
Phenotype	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	94	^(94-90)⁄ ₉₀	0.044
Yellow Wrinkled (Y–rr)	30	28	^(28-30)⁄ ₃₀	-0.067
Green Round (yyR–)	30	24	^(24-30)⁄ ₃₀	-0.200
Green Wrinkled (yyrr)	10	14	^(14-10)⁄ ₁₀	0.400
(sum) χ² =				0.178

Table 3
Phenotype	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	94	^(94-90)²⁄ ₉₀	0.178
Yellow Wrinkled (Y–rr)	30	28	^(28-30)²⁄ ₃₀	0.133
Green Round (yyR–)	30	24	^(24-30)²⁄ ₃₀	1.200
Green Wrinkled (yyrr)	10	14	^(14-10)²⁄ ₁₀	1.600
(sum) χ² =				3.111

Before you ask your instructor for a new lab partner, tell them which table is correct AND whether they can reject or fail to reject the null hypothesis using the information provided.

Table 1 with χ² = 2.956 is correct and we REJECT the null hypothesis Incorrect Table 2 with χ² = 0.178 is correct and we REJECT the null hypothesis Incorrect Table 3 with χ² = 3.111 is correct and we REJECT the null hypothesis Incorrect Table 1 with χ² = 2.956 is correct and we FAIL to REJECT the null hypothesis Incorrect Table 2 with χ² = 0.178 is correct and we FAIL to REJECT the null hypothesis Incorrect Table 3 with χ² = 3.111 is correct and we FAIL to REJECT the null hypothesis Correct MC

cd05_bcd0

Table of Chi-Squared (χ²) Critical Values
Degrees of Freedom	Probability
Degrees of Freedom	0.95	0.90	0.75	0.50	0.25	0.10	0.05	0.01
1	0.00	0.02	0.10	0.45	1.32	2.71	3.84	6.63
2	0.10	0.21	0.58	1.39	2.77	4.61	5.99	9.21
3	0.35	0.58	1.21	2.37	4.11	6.25	7.81	11.34
4	0.71	1.06	1.92	3.36	5.39	7.78	9.49	13.28

Table 1
Phenotype	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	83	^(83-90)²⁄ ₉₀	0.544
Yellow Wrinkled (Y–rr)	30	18	^(18-30)²⁄ ₃₀	4.800
Green Round (yyR–)	30	44	^(44-30)²⁄ ₃₀	6.533
Green Wrinkled (yyrr)	10	15	^(15-10)²⁄ ₁₀	2.500
(sum) χ² =				14.378

Table 2
Phenotype	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	83	^(83-90)²⁄ _83²	0.007
Yellow Wrinkled (Y–rr)	30	18	^(18-30)²⁄ _18²	0.444
Green Round (yyR–)	30	44	^(44-30)²⁄ _44²	0.101
Green Wrinkled (yyrr)	10	15	^(15-10)²⁄ _15²	0.111
(sum) χ² =				0.664

Table 3
Phenotype	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	83	^(83-90)²⁄ ₈₃	0.590
Yellow Wrinkled (Y–rr)	30	18	^(18-30)²⁄ ₁₈	8.000
Green Round (yyR–)	30	44	^(44-30)²⁄ ₄₄	4.455
Green Wrinkled (yyrr)	10	15	^(15-10)²⁄ ₁₅	1.667
(sum) χ² =				14.712

Before you ask your instructor for a new lab partner, tell them which table is correct AND whether they can reject or fail to reject the null hypothesis using the information provided.

Table 1 with χ² = 14.378 is correct and we REJECT the null hypothesis Correct Table 2 with χ² = 0.664 is correct and we REJECT the null hypothesis Incorrect Table 3 with χ² = 14.712 is correct and we REJECT the null hypothesis Incorrect Table 1 with χ² = 14.378 is correct and we FAIL to REJECT the null hypothesis Incorrect Table 2 with χ² = 0.664 is correct and we FAIL to REJECT the null hypothesis Incorrect Table 3 with χ² = 14.712 is correct and we FAIL to REJECT the null hypothesis Incorrect MC

6614_e744

Table of Chi-Squared (χ²) Critical Values
Degrees of Freedom	Probability
Degrees of Freedom	0.95	0.90	0.75	0.50	0.25	0.10	0.05	0.01
1	0.00	0.02	0.10	0.45	1.32	2.71	3.84	6.63
2	0.10	0.21	0.58	1.39	2.77	4.61	5.99	9.21
3	0.35	0.58	1.21	2.37	4.11	6.25	7.81	11.34
4	0.71	1.06	1.92	3.36	5.39	7.78	9.49	13.28

Table 1
Phenotype	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	77	^(77-90)²⁄ _77²	0.029
Yellow Wrinkled (Y–rr)	30	22	^(22-30)²⁄ _22²	0.132
Green Round (yyR–)	30	45	^(45-30)²⁄ _45²	0.111
Green Wrinkled (yyrr)	10	16	^(16-10)²⁄ _16²	0.141
(sum) χ² =				0.412

Table 2
Phenotype	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	77	^(77-90)⁄ ₉₀	-0.144
Yellow Wrinkled (Y–rr)	30	22	^(22-30)⁄ ₃₀	-0.267
Green Round (yyR–)	30	45	^(45-30)⁄ ₃₀	0.500
Green Wrinkled (yyrr)	10	16	^(16-10)⁄ ₁₀	0.600
(sum) χ² =				0.689

Table 3
Phenotype	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	77	^(77-90)²⁄ ₉₀	1.878
Yellow Wrinkled (Y–rr)	30	22	^(22-30)²⁄ ₃₀	2.133
Green Round (yyR–)	30	45	^(45-30)²⁄ ₃₀	7.500
Green Wrinkled (yyrr)	10	16	^(16-10)²⁄ ₁₀	3.600
(sum) χ² =				15.111

Before you ask your instructor for a new lab partner, tell them which table is correct AND whether they can reject or fail to reject the null hypothesis using the information provided.

Table 1 with χ² = 0.412 is correct and we REJECT the null hypothesis Incorrect Table 2 with χ² = 0.689 is correct and we REJECT the null hypothesis Incorrect Table 3 with χ² = 15.111 is correct and we REJECT the null hypothesis Correct Table 1 with χ² = 0.412 is correct and we FAIL to REJECT the null hypothesis Incorrect Table 2 with χ² = 0.689 is correct and we FAIL to REJECT the null hypothesis Incorrect Table 3 with χ² = 15.111 is correct and we FAIL to REJECT the null hypothesis Incorrect MC

58c1_0ad8

Table of Chi-Squared (χ²) Critical Values
Degrees of Freedom	Probability
Degrees of Freedom	0.95	0.90	0.75	0.50	0.25	0.10	0.05	0.01
1	0.00	0.02	0.10	0.45	1.32	2.71	3.84	6.63
2	0.10	0.21	0.58	1.39	2.77	4.61	5.99	9.21
3	0.35	0.58	1.21	2.37	4.11	6.25	7.81	11.34
4	0.71	1.06	1.92	3.36	5.39	7.78	9.49	13.28

Table 1
Phenotype	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	82	^(82-90)²⁄ _82²	0.010
Yellow Wrinkled (Y–rr)	30	36	^(36-30)²⁄ _36²	0.028
Green Round (yyR–)	30	34	^(34-30)²⁄ _34²	0.014
Green Wrinkled (yyrr)	10	8	^(8-10)²⁄ _8²	0.062
(sum) χ² =				0.114

Table 2
Phenotype	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	82	^(82-90)²⁄ ₈₂	0.780
Yellow Wrinkled (Y–rr)	30	36	^(36-30)²⁄ ₃₆	1.000
Green Round (yyR–)	30	34	^(34-30)²⁄ ₃₄	0.471
Green Wrinkled (yyrr)	10	8	^(8-10)²⁄ ₈	0.500
(sum) χ² =				2.751

Table 3
Phenotype	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	82	^(82-90)²⁄ ₉₀	0.711
Yellow Wrinkled (Y–rr)	30	36	^(36-30)²⁄ ₃₀	1.200
Green Round (yyR–)	30	34	^(34-30)²⁄ ₃₀	0.533
Green Wrinkled (yyrr)	10	8	^(8-10)²⁄ ₁₀	0.400
(sum) χ² =				2.844

Before you ask your instructor for a new lab partner, tell them which table is correct AND whether they can reject or fail to reject the null hypothesis using the information provided.

Table 1 with χ² = 0.114 is correct and we REJECT the null hypothesis Incorrect Table 2 with χ² = 2.751 is correct and we REJECT the null hypothesis Incorrect Table 3 with χ² = 2.844 is correct and we REJECT the null hypothesis Incorrect Table 1 with χ² = 0.114 is correct and we FAIL to REJECT the null hypothesis Incorrect Table 2 with χ² = 2.751 is correct and we FAIL to REJECT the null hypothesis Incorrect Table 3 with χ² = 2.844 is correct and we FAIL to REJECT the null hypothesis Correct MC

5c9a_b822

Table of Chi-Squared (χ²) Critical Values
Degrees of Freedom	Probability
Degrees of Freedom	0.95	0.90	0.75	0.50	0.25	0.10	0.05	0.01
1	0.00	0.02	0.10	0.45	1.32	2.71	3.84	6.63
2	0.10	0.21	0.58	1.39	2.77	4.61	5.99	9.21
3	0.35	0.58	1.21	2.37	4.11	6.25	7.81	11.34
4	0.71	1.06	1.92	3.36	5.39	7.78	9.49	13.28

Table 1
Phenotype	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	81	^(81-90)⁄ ₉₀	-0.100
Yellow Wrinkled (Y–rr)	30	18	^(18-30)⁄ ₃₀	-0.400
Green Round (yyR–)	30	42	^(42-30)⁄ ₃₀	0.400
Green Wrinkled (yyrr)	10	19	^(19-10)⁄ ₁₀	0.900
(sum) χ² =				0.800

Table 2
Phenotype	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	81	^(81-90)²⁄ ₉₀	0.900
Yellow Wrinkled (Y–rr)	30	18	^(18-30)²⁄ ₃₀	4.800
Green Round (yyR–)	30	42	^(42-30)²⁄ ₃₀	4.800
Green Wrinkled (yyrr)	10	19	^(19-10)²⁄ ₁₀	8.100
(sum) χ² =				18.600

Table 3
Phenotype	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	81	^(81-90)²⁄ ₈₁	1.000
Yellow Wrinkled (Y–rr)	30	18	^(18-30)²⁄ ₁₈	8.000
Green Round (yyR–)	30	42	^(42-30)²⁄ ₄₂	3.429
Green Wrinkled (yyrr)	10	19	^(19-10)²⁄ ₁₉	4.263
(sum) χ² =				16.692

Before you ask your instructor for a new lab partner, tell them which table is correct AND whether they can reject or fail to reject the null hypothesis using the information provided.

Table 1 with χ² = 0.800 is correct and we REJECT the null hypothesis Incorrect Table 2 with χ² = 18.600 is correct and we REJECT the null hypothesis Correct Table 3 with χ² = 16.692 is correct and we REJECT the null hypothesis Incorrect Table 1 with χ² = 0.800 is correct and we FAIL to REJECT the null hypothesis Incorrect Table 2 with χ² = 18.600 is correct and we FAIL to REJECT the null hypothesis Incorrect Table 3 with χ² = 16.692 is correct and we FAIL to REJECT the null hypothesis Incorrect MC

549b_9ca6

Table of Chi-Squared (χ²) Critical Values
Degrees of Freedom	Probability
Degrees of Freedom	0.95	0.90	0.75	0.50	0.25	0.10	0.05	0.01
1	0.00	0.02	0.10	0.45	1.32	2.71	3.84	6.63
2	0.10	0.21	0.58	1.39	2.77	4.61	5.99	9.21
3	0.35	0.58	1.21	2.37	4.11	6.25	7.81	11.34
4	0.71	1.06	1.92	3.36	5.39	7.78	9.49	13.28

Table 1
Phenotype	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	79	^(79-90)²⁄ _79²	0.019
Yellow Wrinkled (Y–rr)	30	18	^(18-30)²⁄ _18²	0.444
Green Round (yyR–)	30	46	^(46-30)²⁄ _46²	0.121
Green Wrinkled (yyrr)	10	17	^(17-10)²⁄ _17²	0.170
(sum) χ² =				0.754

Table 2
Phenotype	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	79	^(79-90)⁄ ₉₀	-0.122
Yellow Wrinkled (Y–rr)	30	18	^(18-30)⁄ ₃₀	-0.400
Green Round (yyR–)	30	46	^(46-30)⁄ ₃₀	0.533
Green Wrinkled (yyrr)	10	17	^(17-10)⁄ ₁₀	0.700
(sum) χ² =				0.711

Table 3
Phenotype	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	79	^(79-90)²⁄ ₉₀	1.344
Yellow Wrinkled (Y–rr)	30	18	^(18-30)²⁄ ₃₀	4.800
Green Round (yyR–)	30	46	^(46-30)²⁄ ₃₀	8.533
Green Wrinkled (yyrr)	10	17	^(17-10)²⁄ ₁₀	4.900
(sum) χ² =				19.578

Before you ask your instructor for a new lab partner, tell them which table is correct AND whether they can reject or fail to reject the null hypothesis using the information provided.

Table 1 with χ² = 0.754 is correct and we REJECT the null hypothesis Incorrect Table 2 with χ² = 0.711 is correct and we REJECT the null hypothesis Incorrect Table 3 with χ² = 19.578 is correct and we REJECT the null hypothesis Correct Table 1 with χ² = 0.754 is correct and we FAIL to REJECT the null hypothesis Incorrect Table 2 with χ² = 0.711 is correct and we FAIL to REJECT the null hypothesis Incorrect Table 3 with χ² = 19.578 is correct and we FAIL to REJECT the null hypothesis Incorrect MC

b46a_154c

Table of Chi-Squared (χ²) Critical Values
Degrees of Freedom	Probability
Degrees of Freedom	0.95	0.90	0.75	0.50	0.25	0.10	0.05	0.01
1	0.00	0.02	0.10	0.45	1.32	2.71	3.84	6.63
2	0.10	0.21	0.58	1.39	2.77	4.61	5.99	9.21
3	0.35	0.58	1.21	2.37	4.11	6.25	7.81	11.34
4	0.71	1.06	1.92	3.36	5.39	7.78	9.49	13.28

Table 1
Phenotype	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	83	^(83-90)²⁄ ₉₀	0.544
Yellow Wrinkled (Y–rr)	30	35	^(35-30)²⁄ ₃₀	0.833
Green Round (yyR–)	30	30	^(30-30)²⁄ ₃₀	0.000
Green Wrinkled (yyrr)	10	12	^(12-10)²⁄ ₁₀	0.400
(sum) χ² =				1.778

Table 2
Phenotype	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	83	^(83-90)²⁄ ₈₃	0.590
Yellow Wrinkled (Y–rr)	30	35	^(35-30)²⁄ ₃₅	0.714
Green Round (yyR–)	30	30	^(30-30)²⁄ ₃₀	0.000
Green Wrinkled (yyrr)	10	12	^(12-10)²⁄ ₁₂	0.333
(sum) χ² =				1.638

Table 3
Phenotype	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	83	^(83-90)⁄ ₉₀	-0.078
Yellow Wrinkled (Y–rr)	30	35	^(35-30)⁄ ₃₀	0.167
Green Round (yyR–)	30	30	^(30-30)⁄ ₃₀	0.000
Green Wrinkled (yyrr)	10	12	^(12-10)⁄ ₁₀	0.200
(sum) χ² =				0.289

Before you ask your instructor for a new lab partner, tell them which table is correct AND whether they can reject or fail to reject the null hypothesis using the information provided.

Table 1 with χ² = 1.778 is correct and we REJECT the null hypothesis Incorrect Table 2 with χ² = 1.638 is correct and we REJECT the null hypothesis Incorrect Table 3 with χ² = 0.289 is correct and we REJECT the null hypothesis Incorrect Table 1 with χ² = 1.778 is correct and we FAIL to REJECT the null hypothesis Correct Table 2 with χ² = 1.638 is correct and we FAIL to REJECT the null hypothesis Incorrect Table 3 with χ² = 0.289 is correct and we FAIL to REJECT the null hypothesis Incorrect MC

22c8_ca44

Table of Chi-Squared (χ²) Critical Values
Degrees of Freedom	Probability
Degrees of Freedom	0.95	0.90	0.75	0.50	0.25	0.10	0.05	0.01
1	0.00	0.02	0.10	0.45	1.32	2.71	3.84	6.63
2	0.10	0.21	0.58	1.39	2.77	4.61	5.99	9.21
3	0.35	0.58	1.21	2.37	4.11	6.25	7.81	11.34
4	0.71	1.06	1.92	3.36	5.39	7.78	9.49	13.28

Table 1
Phenotype	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	77	^(77-90)²⁄ ₉₀	1.878
Yellow Wrinkled (Y–rr)	30	20	^(20-30)²⁄ ₃₀	3.333
Green Round (yyR–)	30	48	^(48-30)²⁄ ₃₀	10.800
Green Wrinkled (yyrr)	10	15	^(15-10)²⁄ ₁₀	2.500
(sum) χ² =				18.511

Table 2
Phenotype	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	77	^(77-90)⁄ ₉₀	-0.144
Yellow Wrinkled (Y–rr)	30	20	^(20-30)⁄ ₃₀	-0.333
Green Round (yyR–)	30	48	^(48-30)⁄ ₃₀	0.600
Green Wrinkled (yyrr)	10	15	^(15-10)⁄ ₁₀	0.500
(sum) χ² =				0.622

Table 3
Phenotype	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	77	^(77-90)²⁄ _77²	0.029
Yellow Wrinkled (Y–rr)	30	20	^(20-30)²⁄ _20²	0.250
Green Round (yyR–)	30	48	^(48-30)²⁄ _48²	0.141
Green Wrinkled (yyrr)	10	15	^(15-10)²⁄ _15²	0.111
(sum) χ² =				0.530

Before you ask your instructor for a new lab partner, tell them which table is correct AND whether they can reject or fail to reject the null hypothesis using the information provided.

Table 1 with χ² = 18.511 is correct and we REJECT the null hypothesis Correct Table 2 with χ² = 0.622 is correct and we REJECT the null hypothesis Incorrect Table 3 with χ² = 0.530 is correct and we REJECT the null hypothesis Incorrect Table 1 with χ² = 18.511 is correct and we FAIL to REJECT the null hypothesis Incorrect Table 2 with χ² = 0.622 is correct and we FAIL to REJECT the null hypothesis Incorrect Table 3 with χ² = 0.530 is correct and we FAIL to REJECT the null hypothesis Incorrect MC

430f_b01f

Table of Chi-Squared (χ²) Critical Values
Degrees of Freedom	Probability
Degrees of Freedom	0.95	0.90	0.75	0.50	0.25	0.10	0.05	0.01
1	0.00	0.02	0.10	0.45	1.32	2.71	3.84	6.63
2	0.10	0.21	0.58	1.39	2.77	4.61	5.99	9.21
3	0.35	0.58	1.21	2.37	4.11	6.25	7.81	11.34
4	0.71	1.06	1.92	3.36	5.39	7.78	9.49	13.28

Table 1
Phenotype	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	93	^(93-90)²⁄ ₉₀	0.100
Yellow Wrinkled (Y–rr)	30	25	^(25-30)²⁄ ₃₀	0.833
Green Round (yyR–)	30	29	^(29-30)²⁄ ₃₀	0.033
Green Wrinkled (yyrr)	10	13	^(13-10)²⁄ ₁₀	0.900
(sum) χ² =				1.867

Table 2
Phenotype	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	93	^(93-90)⁄ ₉₀	0.033
Yellow Wrinkled (Y–rr)	30	25	^(25-30)⁄ ₃₀	-0.167
Green Round (yyR–)	30	29	^(29-30)⁄ ₃₀	-0.033
Green Wrinkled (yyrr)	10	13	^(13-10)⁄ ₁₀	0.300
(sum) χ² =				0.133

Table 3
Phenotype	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	93	^(93-90)²⁄ _93²	0.001
Yellow Wrinkled (Y–rr)	30	25	^(25-30)²⁄ _25²	0.040
Green Round (yyR–)	30	29	^(29-30)²⁄ _29²	0.001
Green Wrinkled (yyrr)	10	13	^(13-10)²⁄ _13²	0.053
(sum) χ² =				0.095

Before you ask your instructor for a new lab partner, tell them which table is correct AND whether they can reject or fail to reject the null hypothesis using the information provided.

Table 1 with χ² = 1.867 is correct and we REJECT the null hypothesis Incorrect Table 2 with χ² = 0.133 is correct and we REJECT the null hypothesis Incorrect Table 3 with χ² = 0.095 is correct and we REJECT the null hypothesis Incorrect Table 1 with χ² = 1.867 is correct and we FAIL to REJECT the null hypothesis Correct Table 2 with χ² = 0.133 is correct and we FAIL to REJECT the null hypothesis Incorrect Table 3 with χ² = 0.095 is correct and we FAIL to REJECT the null hypothesis Incorrect MC

2a63_2a75

Table of Chi-Squared (χ²) Critical Values
Degrees of Freedom	Probability
Degrees of Freedom	0.95	0.90	0.75	0.50	0.25	0.10	0.05	0.01
1	0.00	0.02	0.10	0.45	1.32	2.71	3.84	6.63
2	0.10	0.21	0.58	1.39	2.77	4.61	5.99	9.21
3	0.35	0.58	1.21	2.37	4.11	6.25	7.81	11.34
4	0.71	1.06	1.92	3.36	5.39	7.78	9.49	13.28

Table 1
Phenotype	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	100	^(100-90)²⁄ _100²	0.010
Yellow Wrinkled (Y–rr)	30	28	^(28-30)²⁄ _28²	0.005
Green Round (yyR–)	30	26	^(26-30)²⁄ _26²	0.024
Green Wrinkled (yyrr)	10	6	^(6-10)²⁄ _6²	0.444
(sum) χ² =				0.483

Table 2
Phenotype	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	100	^(100-90)²⁄ ₉₀	1.111
Yellow Wrinkled (Y–rr)	30	28	^(28-30)²⁄ ₃₀	0.133
Green Round (yyR–)	30	26	^(26-30)²⁄ ₃₀	0.533
Green Wrinkled (yyrr)	10	6	^(6-10)²⁄ ₁₀	1.600
(sum) χ² =				3.378

Table 3
Phenotype	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	100	^(100-90)²⁄ ₁₀₀	1.000
Yellow Wrinkled (Y–rr)	30	28	^(28-30)²⁄ ₂₈	0.143
Green Round (yyR–)	30	26	^(26-30)²⁄ ₂₆	0.615
Green Wrinkled (yyrr)	10	6	^(6-10)²⁄ ₆	2.667
(sum) χ² =				4.425

Before you ask your instructor for a new lab partner, tell them which table is correct AND whether they can reject or fail to reject the null hypothesis using the information provided.

Table 1 with χ² = 0.483 is correct and we REJECT the null hypothesis Incorrect Table 2 with χ² = 3.378 is correct and we REJECT the null hypothesis Incorrect Table 3 with χ² = 4.425 is correct and we REJECT the null hypothesis Incorrect Table 1 with χ² = 0.483 is correct and we FAIL to REJECT the null hypothesis Incorrect Table 2 with χ² = 3.378 is correct and we FAIL to REJECT the null hypothesis Correct Table 3 with χ² = 4.425 is correct and we FAIL to REJECT the null hypothesis Incorrect MC

f462_6cc3

Table of Chi-Squared (χ²) Critical Values
Degrees of Freedom	Probability
Degrees of Freedom	0.95	0.90	0.75	0.50	0.25	0.10	0.05	0.01
1	0.00	0.02	0.10	0.45	1.32	2.71	3.84	6.63
2	0.10	0.21	0.58	1.39	2.77	4.61	5.99	9.21
3	0.35	0.58	1.21	2.37	4.11	6.25	7.81	11.34
4	0.71	1.06	1.92	3.36	5.39	7.78	9.49	13.28

Table 1
Phenotype	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	78	^(78-90)²⁄ ₉₀	1.600
Yellow Wrinkled (Y–rr)	30	33	^(33-30)²⁄ ₃₀	0.300
Green Round (yyR–)	30	41	^(41-30)²⁄ ₃₀	4.033
Green Wrinkled (yyrr)	10	8	^(8-10)²⁄ ₁₀	0.400
(sum) χ² =				6.333

Table 2
Phenotype	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	78	^(78-90)²⁄ ₇₈	1.846
Yellow Wrinkled (Y–rr)	30	33	^(33-30)²⁄ ₃₃	0.273
Green Round (yyR–)	30	41	^(41-30)²⁄ ₄₁	2.951
Green Wrinkled (yyrr)	10	8	^(8-10)²⁄ ₈	0.500
(sum) χ² =				5.570

Table 3
Phenotype	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	78	^(78-90)²⁄ _78²	0.024
Yellow Wrinkled (Y–rr)	30	33	^(33-30)²⁄ _33²	0.008
Green Round (yyR–)	30	41	^(41-30)²⁄ _41²	0.072
Green Wrinkled (yyrr)	10	8	^(8-10)²⁄ _8²	0.062
(sum) χ² =				0.166

Before you ask your instructor for a new lab partner, tell them which table is correct AND whether they can reject or fail to reject the null hypothesis using the information provided.

Table 1 with χ² = 6.333 is correct and we REJECT the null hypothesis Incorrect Table 2 with χ² = 5.570 is correct and we REJECT the null hypothesis Incorrect Table 3 with χ² = 0.166 is correct and we REJECT the null hypothesis Incorrect Table 1 with χ² = 6.333 is correct and we FAIL to REJECT the null hypothesis Correct Table 2 with χ² = 5.570 is correct and we FAIL to REJECT the null hypothesis Incorrect Table 3 with χ² = 0.166 is correct and we FAIL to REJECT the null hypothesis Incorrect MC

8e18_9e29

Table of Chi-Squared (χ²) Critical Values
Degrees of Freedom	Probability
Degrees of Freedom	0.95	0.90	0.75	0.50	0.25	0.10	0.05	0.01
1	0.00	0.02	0.10	0.45	1.32	2.71	3.84	6.63
2	0.10	0.21	0.58	1.39	2.77	4.61	5.99	9.21
3	0.35	0.58	1.21	2.37	4.11	6.25	7.81	11.34
4	0.71	1.06	1.92	3.36	5.39	7.78	9.49	13.28

Table 1
Phenotype	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	93	^(93-90)²⁄ ₉₀	0.100
Yellow Wrinkled (Y–rr)	30	19	^(19-30)²⁄ ₃₀	4.033
Green Round (yyR–)	30	34	^(34-30)²⁄ ₃₀	0.533
Green Wrinkled (yyrr)	10	14	^(14-10)²⁄ ₁₀	1.600
(sum) χ² =				6.267

Table 2
Phenotype	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	93	^(93-90)²⁄ _93²	0.001
Yellow Wrinkled (Y–rr)	30	19	^(19-30)²⁄ _19²	0.335
Green Round (yyR–)	30	34	^(34-30)²⁄ _34²	0.014
Green Wrinkled (yyrr)	10	14	^(14-10)²⁄ _14²	0.082
(sum) χ² =				0.432

Table 3
Phenotype	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	93	^(93-90)²⁄ ₉₃	0.097
Yellow Wrinkled (Y–rr)	30	19	^(19-30)²⁄ ₁₉	6.368
Green Round (yyR–)	30	34	^(34-30)²⁄ ₃₄	0.471
Green Wrinkled (yyrr)	10	14	^(14-10)²⁄ ₁₄	1.143
(sum) χ² =				8.079

Before you ask your instructor for a new lab partner, tell them which table is correct AND whether they can reject or fail to reject the null hypothesis using the information provided.

Table 1 with χ² = 6.267 is correct and we REJECT the null hypothesis Incorrect Table 2 with χ² = 0.432 is correct and we REJECT the null hypothesis Incorrect Table 3 with χ² = 8.079 is correct and we REJECT the null hypothesis Incorrect Table 1 with χ² = 6.267 is correct and we FAIL to REJECT the null hypothesis Correct Table 2 with χ² = 0.432 is correct and we FAIL to REJECT the null hypothesis Incorrect Table 3 with χ² = 8.079 is correct and we FAIL to REJECT the null hypothesis Incorrect MC

82dc_1221

Table of Chi-Squared (χ²) Critical Values
Degrees of Freedom	Probability
Degrees of Freedom	0.95	0.90	0.75	0.50	0.25	0.10	0.05	0.01
1	0.00	0.02	0.10	0.45	1.32	2.71	3.84	6.63
2	0.10	0.21	0.58	1.39	2.77	4.61	5.99	9.21
3	0.35	0.58	1.21	2.37	4.11	6.25	7.81	11.34
4	0.71	1.06	1.92	3.36	5.39	7.78	9.49	13.28

Table 1
Phenotype	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	83	^(83-90)²⁄ ₈₃	0.590
Yellow Wrinkled (Y–rr)	30	21	^(21-30)²⁄ ₂₁	3.857
Green Round (yyR–)	30	39	^(39-30)²⁄ ₃₉	2.077
Green Wrinkled (yyrr)	10	17	^(17-10)²⁄ ₁₇	2.882
(sum) χ² =				9.407

Table 2
Phenotype	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	83	^(83-90)²⁄ _83²	0.007
Yellow Wrinkled (Y–rr)	30	21	^(21-30)²⁄ _21²	0.184
Green Round (yyR–)	30	39	^(39-30)²⁄ _39²	0.053
Green Wrinkled (yyrr)	10	17	^(17-10)²⁄ _17²	0.170
(sum) χ² =				0.414

Table 3
Phenotype	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	83	^(83-90)²⁄ ₉₀	0.544
Yellow Wrinkled (Y–rr)	30	21	^(21-30)²⁄ ₃₀	2.700
Green Round (yyR–)	30	39	^(39-30)²⁄ ₃₀	2.700
Green Wrinkled (yyrr)	10	17	^(17-10)²⁄ ₁₀	4.900
(sum) χ² =				10.844

Before you ask your instructor for a new lab partner, tell them which table is correct AND whether they can reject or fail to reject the null hypothesis using the information provided.

Table 1 with χ² = 9.407 is correct and we REJECT the null hypothesis Incorrect Table 2 with χ² = 0.414 is correct and we REJECT the null hypothesis Incorrect Table 3 with χ² = 10.844 is correct and we REJECT the null hypothesis Correct Table 1 with χ² = 9.407 is correct and we FAIL to REJECT the null hypothesis Incorrect Table 2 with χ² = 0.414 is correct and we FAIL to REJECT the null hypothesis Incorrect Table 3 with χ² = 10.844 is correct and we FAIL to REJECT the null hypothesis Incorrect MC

c818_2114

Table of Chi-Squared (χ²) Critical Values
Degrees of Freedom	Probability
Degrees of Freedom	0.95	0.90	0.75	0.50	0.25	0.10	0.05	0.01
1	0.00	0.02	0.10	0.45	1.32	2.71	3.84	6.63
2	0.10	0.21	0.58	1.39	2.77	4.61	5.99	9.21
3	0.35	0.58	1.21	2.37	4.11	6.25	7.81	11.34
4	0.71	1.06	1.92	3.36	5.39	7.78	9.49	13.28

Table 1
Phenotype	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	76	^(76-90)²⁄ ₇₆	2.579
Yellow Wrinkled (Y–rr)	30	18	^(18-30)²⁄ ₁₈	8.000
Green Round (yyR–)	30	50	^(50-30)²⁄ ₅₀	8.000
Green Wrinkled (yyrr)	10	16	^(16-10)²⁄ ₁₆	2.250
(sum) χ² =				20.829

Table 2
Phenotype	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	76	^(76-90)²⁄ ₉₀	2.178
Yellow Wrinkled (Y–rr)	30	18	^(18-30)²⁄ ₃₀	4.800
Green Round (yyR–)	30	50	^(50-30)²⁄ ₃₀	13.333
Green Wrinkled (yyrr)	10	16	^(16-10)²⁄ ₁₀	3.600
(sum) χ² =				23.911

Table 3
Phenotype	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	76	^(76-90)²⁄ _76²	0.034
Yellow Wrinkled (Y–rr)	30	18	^(18-30)²⁄ _18²	0.444
Green Round (yyR–)	30	50	^(50-30)²⁄ _50²	0.160
Green Wrinkled (yyrr)	10	16	^(16-10)²⁄ _16²	0.141
(sum) χ² =				0.779

Before you ask your instructor for a new lab partner, tell them which table is correct AND whether they can reject or fail to reject the null hypothesis using the information provided.

Table 1 with χ² = 20.829 is correct and we REJECT the null hypothesis Incorrect Table 2 with χ² = 23.911 is correct and we REJECT the null hypothesis Correct Table 3 with χ² = 0.779 is correct and we REJECT the null hypothesis Incorrect Table 1 with χ² = 20.829 is correct and we FAIL to REJECT the null hypothesis Incorrect Table 2 with χ² = 23.911 is correct and we FAIL to REJECT the null hypothesis Incorrect Table 3 with χ² = 0.779 is correct and we FAIL to REJECT the null hypothesis Incorrect MC

865a_4a0e

Table of Chi-Squared (χ²) Critical Values
Degrees of Freedom	Probability
Degrees of Freedom	0.95	0.90	0.75	0.50	0.25	0.10	0.05	0.01
1	0.00	0.02	0.10	0.45	1.32	2.71	3.84	6.63
2	0.10	0.21	0.58	1.39	2.77	4.61	5.99	9.21
3	0.35	0.58	1.21	2.37	4.11	6.25	7.81	11.34
4	0.71	1.06	1.92	3.36	5.39	7.78	9.49	13.28

Table 1
Phenotype	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	86	^(86-90)⁄ ₉₀	-0.044
Yellow Wrinkled (Y–rr)	30	26	^(26-30)⁄ ₃₀	-0.133
Green Round (yyR–)	30	34	^(34-30)⁄ ₃₀	0.133
Green Wrinkled (yyrr)	10	14	^(14-10)⁄ ₁₀	0.400
(sum) χ² =				0.356

Table 2
Phenotype	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	86	^(86-90)²⁄ _86²	0.002
Yellow Wrinkled (Y–rr)	30	26	^(26-30)²⁄ _26²	0.024
Green Round (yyR–)	30	34	^(34-30)²⁄ _34²	0.014
Green Wrinkled (yyrr)	10	14	^(14-10)²⁄ _14²	0.082
(sum) χ² =				0.121

Table 3
Phenotype	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	86	^(86-90)²⁄ ₉₀	0.178
Yellow Wrinkled (Y–rr)	30	26	^(26-30)²⁄ ₃₀	0.533
Green Round (yyR–)	30	34	^(34-30)²⁄ ₃₀	0.533
Green Wrinkled (yyrr)	10	14	^(14-10)²⁄ ₁₀	1.600
(sum) χ² =				2.844

Before you ask your instructor for a new lab partner, tell them which table is correct AND whether they can reject or fail to reject the null hypothesis using the information provided.

Table 1 with χ² = 0.356 is correct and we REJECT the null hypothesis Incorrect Table 2 with χ² = 0.121 is correct and we REJECT the null hypothesis Incorrect Table 3 with χ² = 2.844 is correct and we REJECT the null hypothesis Incorrect Table 1 with χ² = 0.356 is correct and we FAIL to REJECT the null hypothesis Incorrect Table 2 with χ² = 0.121 is correct and we FAIL to REJECT the null hypothesis Incorrect Table 3 with χ² = 2.844 is correct and we FAIL to REJECT the null hypothesis Correct MC

e2ef_1242

Table of Chi-Squared (χ²) Critical Values
Degrees of Freedom	Probability
Degrees of Freedom	0.95	0.90	0.75	0.50	0.25	0.10	0.05	0.01
1	0.00	0.02	0.10	0.45	1.32	2.71	3.84	6.63
2	0.10	0.21	0.58	1.39	2.77	4.61	5.99	9.21
3	0.35	0.58	1.21	2.37	4.11	6.25	7.81	11.34
4	0.71	1.06	1.92	3.36	5.39	7.78	9.49	13.28

Table 1
Phenotype	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	81	^(81-90)²⁄ ₉₀	0.900
Yellow Wrinkled (Y–rr)	30	20	^(20-30)²⁄ ₃₀	3.333
Green Round (yyR–)	30	40	^(40-30)²⁄ ₃₀	3.333
Green Wrinkled (yyrr)	10	19	^(19-10)²⁄ ₁₀	8.100
(sum) χ² =				15.667

Table 2
Phenotype	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	81	^(81-90)⁄ ₉₀	-0.100
Yellow Wrinkled (Y–rr)	30	20	^(20-30)⁄ ₃₀	-0.333
Green Round (yyR–)	30	40	^(40-30)⁄ ₃₀	0.333
Green Wrinkled (yyrr)	10	19	^(19-10)⁄ ₁₀	0.900
(sum) χ² =				0.800

Table 3
Phenotype	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	81	^(81-90)²⁄ ₈₁	1.000
Yellow Wrinkled (Y–rr)	30	20	^(20-30)²⁄ ₂₀	5.000
Green Round (yyR–)	30	40	^(40-30)²⁄ ₄₀	2.500
Green Wrinkled (yyrr)	10	19	^(19-10)²⁄ ₁₉	4.263
(sum) χ² =				12.763

Before you ask your instructor for a new lab partner, tell them which table is correct AND whether they can reject or fail to reject the null hypothesis using the information provided.

Table 1 with χ² = 15.667 is correct and we REJECT the null hypothesis Correct Table 2 with χ² = 0.800 is correct and we REJECT the null hypothesis Incorrect Table 3 with χ² = 12.763 is correct and we REJECT the null hypothesis Incorrect Table 1 with χ² = 15.667 is correct and we FAIL to REJECT the null hypothesis Incorrect Table 2 with χ² = 0.800 is correct and we FAIL to REJECT the null hypothesis Incorrect Table 3 with χ² = 12.763 is correct and we FAIL to REJECT the null hypothesis Incorrect MC

c62b_4199

Table of Chi-Squared (χ²) Critical Values
Degrees of Freedom	Probability
Degrees of Freedom	0.95	0.90	0.75	0.50	0.25	0.10	0.05	0.01
1	0.00	0.02	0.10	0.45	1.32	2.71	3.84	6.63
2	0.10	0.21	0.58	1.39	2.77	4.61	5.99	9.21
3	0.35	0.58	1.21	2.37	4.11	6.25	7.81	11.34
4	0.71	1.06	1.92	3.36	5.39	7.78	9.49	13.28

Table 1
Phenotype	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	82	^(82-90)²⁄ _82²	0.010
Yellow Wrinkled (Y–rr)	30	16	^(16-30)²⁄ _16²	0.766
Green Round (yyR–)	30	43	^(43-30)²⁄ _43²	0.091
Green Wrinkled (yyrr)	10	19	^(19-10)²⁄ _19²	0.224
(sum) χ² =				1.091

Table 2
Phenotype	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	82	^(82-90)²⁄ ₉₀	0.711
Yellow Wrinkled (Y–rr)	30	16	^(16-30)²⁄ ₃₀	6.533
Green Round (yyR–)	30	43	^(43-30)²⁄ ₃₀	5.633
Green Wrinkled (yyrr)	10	19	^(19-10)²⁄ ₁₀	8.100
(sum) χ² =				20.978

Table 3
Phenotype	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	82	^(82-90)²⁄ ₈₂	0.780
Yellow Wrinkled (Y–rr)	30	16	^(16-30)²⁄ ₁₆	12.250
Green Round (yyR–)	30	43	^(43-30)²⁄ ₄₃	3.930
Green Wrinkled (yyrr)	10	19	^(19-10)²⁄ ₁₉	4.263
(sum) χ² =				21.224

Before you ask your instructor for a new lab partner, tell them which table is correct AND whether they can reject or fail to reject the null hypothesis using the information provided.

Table 1 with χ² = 1.091 is correct and we REJECT the null hypothesis Incorrect Table 2 with χ² = 20.978 is correct and we REJECT the null hypothesis Correct Table 3 with χ² = 21.224 is correct and we REJECT the null hypothesis Incorrect Table 1 with χ² = 1.091 is correct and we FAIL to REJECT the null hypothesis Incorrect Table 2 with χ² = 20.978 is correct and we FAIL to REJECT the null hypothesis Incorrect Table 3 with χ² = 21.224 is correct and we FAIL to REJECT the null hypothesis Incorrect MC

b81e_3e1a

Table of Chi-Squared (χ²) Critical Values
Degrees of Freedom	Probability
Degrees of Freedom	0.95	0.90	0.75	0.50	0.25	0.10	0.05	0.01
1	0.00	0.02	0.10	0.45	1.32	2.71	3.84	6.63
2	0.10	0.21	0.58	1.39	2.77	4.61	5.99	9.21
3	0.35	0.58	1.21	2.37	4.11	6.25	7.81	11.34
4	0.71	1.06	1.92	3.36	5.39	7.78	9.49	13.28

Table 1
Phenotype	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	96	^(96-90)²⁄ ₉₀	0.400
Yellow Wrinkled (Y–rr)	30	32	^(32-30)²⁄ ₃₀	0.133
Green Round (yyR–)	30	25	^(25-30)²⁄ ₃₀	0.833
Green Wrinkled (yyrr)	10	7	^(7-10)²⁄ ₁₀	0.900
(sum) χ² =				2.267

Table 2
Phenotype	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	96	^(96-90)²⁄ ₉₆	0.375
Yellow Wrinkled (Y–rr)	30	32	^(32-30)²⁄ ₃₂	0.125
Green Round (yyR–)	30	25	^(25-30)²⁄ ₂₅	1.000
Green Wrinkled (yyrr)	10	7	^(7-10)²⁄ ₇	1.286
(sum) χ² =				2.786

Table 3
Phenotype	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	96	^(96-90)²⁄ _96²	0.004
Yellow Wrinkled (Y–rr)	30	32	^(32-30)²⁄ _32²	0.004
Green Round (yyR–)	30	25	^(25-30)²⁄ _25²	0.040
Green Wrinkled (yyrr)	10	7	^(7-10)²⁄ _7²	0.184
(sum) χ² =				0.231

Before you ask your instructor for a new lab partner, tell them which table is correct AND whether they can reject or fail to reject the null hypothesis using the information provided.

Table 1 with χ² = 2.267 is correct and we REJECT the null hypothesis Incorrect Table 2 with χ² = 2.786 is correct and we REJECT the null hypothesis Incorrect Table 3 with χ² = 0.231 is correct and we REJECT the null hypothesis Incorrect Table 1 with χ² = 2.267 is correct and we FAIL to REJECT the null hypothesis Correct Table 2 with χ² = 2.786 is correct and we FAIL to REJECT the null hypothesis Incorrect Table 3 with χ² = 0.231 is correct and we FAIL to REJECT the null hypothesis Incorrect MC

0800_aa5a

Table of Chi-Squared (χ²) Critical Values
Degrees of Freedom	Probability
Degrees of Freedom	0.95	0.90	0.75	0.50	0.25	0.10	0.05	0.01
1	0.00	0.02	0.10	0.45	1.32	2.71	3.84	6.63
2	0.10	0.21	0.58	1.39	2.77	4.61	5.99	9.21
3	0.35	0.58	1.21	2.37	4.11	6.25	7.81	11.34
4	0.71	1.06	1.92	3.36	5.39	7.78	9.49	13.28

Table 1
Phenotype	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	78	^(78-90)⁄ ₉₀	-0.133
Yellow Wrinkled (Y–rr)	30	21	^(21-30)⁄ ₃₀	-0.300
Green Round (yyR–)	30	44	^(44-30)⁄ ₃₀	0.467
Green Wrinkled (yyrr)	10	17	^(17-10)⁄ ₁₀	0.700
(sum) χ² =				0.733

Table 2
Phenotype	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	78	^(78-90)²⁄ ₇₈	1.846
Yellow Wrinkled (Y–rr)	30	21	^(21-30)²⁄ ₂₁	3.857
Green Round (yyR–)	30	44	^(44-30)²⁄ ₄₄	4.455
Green Wrinkled (yyrr)	10	17	^(17-10)²⁄ ₁₇	2.882
(sum) χ² =				13.040

Table 3
Phenotype	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	78	^(78-90)²⁄ ₉₀	1.600
Yellow Wrinkled (Y–rr)	30	21	^(21-30)²⁄ ₃₀	2.700
Green Round (yyR–)	30	44	^(44-30)²⁄ ₃₀	6.533
Green Wrinkled (yyrr)	10	17	^(17-10)²⁄ ₁₀	4.900
(sum) χ² =				15.733

Before you ask your instructor for a new lab partner, tell them which table is correct AND whether they can reject or fail to reject the null hypothesis using the information provided.

Table 1 with χ² = 0.733 is correct and we REJECT the null hypothesis Incorrect Table 2 with χ² = 13.040 is correct and we REJECT the null hypothesis Incorrect Table 3 with χ² = 15.733 is correct and we REJECT the null hypothesis Correct Table 1 with χ² = 0.733 is correct and we FAIL to REJECT the null hypothesis Incorrect Table 2 with χ² = 13.040 is correct and we FAIL to REJECT the null hypothesis Incorrect Table 3 with χ² = 15.733 is correct and we FAIL to REJECT the null hypothesis Incorrect MC

2505_17c6

Table of Chi-Squared (χ²) Critical Values
Degrees of Freedom	Probability
Degrees of Freedom	0.95	0.90	0.75	0.50	0.25	0.10	0.05	0.01
1	0.00	0.02	0.10	0.45	1.32	2.71	3.84	6.63
2	0.10	0.21	0.58	1.39	2.77	4.61	5.99	9.21
3	0.35	0.58	1.21	2.37	4.11	6.25	7.81	11.34
4	0.71	1.06	1.92	3.36	5.39	7.78	9.49	13.28

Table 1
Phenotype	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	87	^(87-90)²⁄ _87²	0.001
Yellow Wrinkled (Y–rr)	30	30	^(30-30)²⁄ _30²	0.000
Green Round (yyR–)	30	35	^(35-30)²⁄ _35²	0.020
Green Wrinkled (yyrr)	10	8	^(8-10)²⁄ _8²	0.062
(sum) χ² =				0.084

Table 2
Phenotype	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	87	^(87-90)²⁄ ₉₀	0.100
Yellow Wrinkled (Y–rr)	30	30	^(30-30)²⁄ ₃₀	0.000
Green Round (yyR–)	30	35	^(35-30)²⁄ ₃₀	0.833
Green Wrinkled (yyrr)	10	8	^(8-10)²⁄ ₁₀	0.400
(sum) χ² =				1.333

Table 3
Phenotype	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	87	^(87-90)⁄ ₉₀	-0.033
Yellow Wrinkled (Y–rr)	30	30	^(30-30)⁄ ₃₀	0.000
Green Round (yyR–)	30	35	^(35-30)⁄ ₃₀	0.167
Green Wrinkled (yyrr)	10	8	^(8-10)⁄ ₁₀	-0.200
(sum) χ² =				-0.067

Before you ask your instructor for a new lab partner, tell them which table is correct AND whether they can reject or fail to reject the null hypothesis using the information provided.

Table 1 with χ² = 0.084 is correct and we REJECT the null hypothesis Incorrect Table 2 with χ² = 1.333 is correct and we REJECT the null hypothesis Incorrect Table 3 with χ² = -0.067 is correct and we REJECT the null hypothesis Incorrect Table 1 with χ² = 0.084 is correct and we FAIL to REJECT the null hypothesis Incorrect Table 2 with χ² = 1.333 is correct and we FAIL to REJECT the null hypothesis Correct Table 3 with χ² = -0.067 is correct and we FAIL to REJECT the null hypothesis Incorrect MC

6c49_6bc1

Table of Chi-Squared (χ²) Critical Values
Degrees of Freedom	Probability
Degrees of Freedom	0.95	0.90	0.75	0.50	0.25	0.10	0.05	0.01
1	0.00	0.02	0.10	0.45	1.32	2.71	3.84	6.63
2	0.10	0.21	0.58	1.39	2.77	4.61	5.99	9.21
3	0.35	0.58	1.21	2.37	4.11	6.25	7.81	11.34
4	0.71	1.06	1.92	3.36	5.39	7.78	9.49	13.28

Table 1
Phenotype	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	79	^(79-90)²⁄ ₉₀	1.344
Yellow Wrinkled (Y–rr)	30	26	^(26-30)²⁄ ₃₀	0.533
Green Round (yyR–)	30	36	^(36-30)²⁄ ₃₀	1.200
Green Wrinkled (yyrr)	10	19	^(19-10)²⁄ ₁₀	8.100
(sum) χ² =				11.178

Table 2
Phenotype	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	79	^(79-90)⁄ ₉₀	-0.122
Yellow Wrinkled (Y–rr)	30	26	^(26-30)⁄ ₃₀	-0.133
Green Round (yyR–)	30	36	^(36-30)⁄ ₃₀	0.200
Green Wrinkled (yyrr)	10	19	^(19-10)⁄ ₁₀	0.900
(sum) χ² =				0.844

Table 3
Phenotype	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	79	^(79-90)²⁄ ₇₉	1.532
Yellow Wrinkled (Y–rr)	30	26	^(26-30)²⁄ ₂₆	0.615
Green Round (yyR–)	30	36	^(36-30)²⁄ ₃₆	1.000
Green Wrinkled (yyrr)	10	19	^(19-10)²⁄ ₁₉	4.263
(sum) χ² =				7.410

Before you ask your instructor for a new lab partner, tell them which table is correct AND whether they can reject or fail to reject the null hypothesis using the information provided.

Table 1 with χ² = 11.178 is correct and we REJECT the null hypothesis Correct Table 2 with χ² = 0.844 is correct and we REJECT the null hypothesis Incorrect Table 3 with χ² = 7.410 is correct and we REJECT the null hypothesis Incorrect Table 1 with χ² = 11.178 is correct and we FAIL to REJECT the null hypothesis Incorrect Table 2 with χ² = 0.844 is correct and we FAIL to REJECT the null hypothesis Incorrect Table 3 with χ² = 7.410 is correct and we FAIL to REJECT the null hypothesis Incorrect MC

7bfc_d172

Table of Chi-Squared (χ²) Critical Values
Degrees of Freedom	Probability
Degrees of Freedom	0.95	0.90	0.75	0.50	0.25	0.10	0.05	0.01
1	0.00	0.02	0.10	0.45	1.32	2.71	3.84	6.63
2	0.10	0.21	0.58	1.39	2.77	4.61	5.99	9.21
3	0.35	0.58	1.21	2.37	4.11	6.25	7.81	11.34
4	0.71	1.06	1.92	3.36	5.39	7.78	9.49	13.28

Table 1
Phenotype	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	84	^(84-90)⁄ ₉₀	-0.067
Yellow Wrinkled (Y–rr)	30	29	^(29-30)⁄ ₃₀	-0.033
Green Round (yyR–)	30	39	^(39-30)⁄ ₃₀	0.300
Green Wrinkled (yyrr)	10	8	^(8-10)⁄ ₁₀	-0.200
(sum) χ² =				-0.000

Table 2
Phenotype	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	84	^(84-90)²⁄ ₉₀	0.400
Yellow Wrinkled (Y–rr)	30	29	^(29-30)²⁄ ₃₀	0.033
Green Round (yyR–)	30	39	^(39-30)²⁄ ₃₀	2.700
Green Wrinkled (yyrr)	10	8	^(8-10)²⁄ ₁₀	0.400
(sum) χ² =				3.533

Table 3
Phenotype	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	84	^(84-90)²⁄ ₈₄	0.429
Yellow Wrinkled (Y–rr)	30	29	^(29-30)²⁄ ₂₉	0.034
Green Round (yyR–)	30	39	^(39-30)²⁄ ₃₉	2.077
Green Wrinkled (yyrr)	10	8	^(8-10)²⁄ ₈	0.500
(sum) χ² =				3.040

Before you ask your instructor for a new lab partner, tell them which table is correct AND whether they can reject or fail to reject the null hypothesis using the information provided.

Table 1 with χ² = -0.000 is correct and we REJECT the null hypothesis Incorrect Table 2 with χ² = 3.533 is correct and we REJECT the null hypothesis Incorrect Table 3 with χ² = 3.040 is correct and we REJECT the null hypothesis Incorrect Table 1 with χ² = -0.000 is correct and we FAIL to REJECT the null hypothesis Incorrect Table 2 with χ² = 3.533 is correct and we FAIL to REJECT the null hypothesis Correct Table 3 with χ² = 3.040 is correct and we FAIL to REJECT the null hypothesis Incorrect MC

990b_01f2

Table of Chi-Squared (χ²) Critical Values
Degrees of Freedom	Probability
Degrees of Freedom	0.95	0.90	0.75	0.50	0.25	0.10	0.05	0.01
1	0.00	0.02	0.10	0.45	1.32	2.71	3.84	6.63
2	0.10	0.21	0.58	1.39	2.77	4.61	5.99	9.21
3	0.35	0.58	1.21	2.37	4.11	6.25	7.81	11.34
4	0.71	1.06	1.92	3.36	5.39	7.78	9.49	13.28

Table 1
Phenotype	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	87	^(87-90)²⁄ ₉₀	0.100
Yellow Wrinkled (Y–rr)	30	15	^(15-30)²⁄ ₃₀	7.500
Green Round (yyR–)	30	39	^(39-30)²⁄ ₃₀	2.700
Green Wrinkled (yyrr)	10	19	^(19-10)²⁄ ₁₀	8.100
(sum) χ² =				18.400

Table 2
Phenotype	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	87	^(87-90)²⁄ ₈₇	0.103
Yellow Wrinkled (Y–rr)	30	15	^(15-30)²⁄ ₁₅	15.000
Green Round (yyR–)	30	39	^(39-30)²⁄ ₃₉	2.077
Green Wrinkled (yyrr)	10	19	^(19-10)²⁄ ₁₉	4.263
(sum) χ² =				21.444

Table 3
Phenotype	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	87	^(87-90)²⁄ _87²	0.001
Yellow Wrinkled (Y–rr)	30	15	^(15-30)²⁄ _15²	1.000
Green Round (yyR–)	30	39	^(39-30)²⁄ _39²	0.053
Green Wrinkled (yyrr)	10	19	^(19-10)²⁄ _19²	0.224
(sum) χ² =				1.279

Before you ask your instructor for a new lab partner, tell them which table is correct AND whether they can reject or fail to reject the null hypothesis using the information provided.

Table 1 with χ² = 18.400 is correct and we REJECT the null hypothesis Correct Table 2 with χ² = 21.444 is correct and we REJECT the null hypothesis Incorrect Table 3 with χ² = 1.279 is correct and we REJECT the null hypothesis Incorrect Table 1 with χ² = 18.400 is correct and we FAIL to REJECT the null hypothesis Incorrect Table 2 with χ² = 21.444 is correct and we FAIL to REJECT the null hypothesis Incorrect Table 3 with χ² = 1.279 is correct and we FAIL to REJECT the null hypothesis Incorrect MC

642c_c05f

Table of Chi-Squared (χ²) Critical Values
Degrees of Freedom	Probability
Degrees of Freedom	0.95	0.90	0.75	0.50	0.25	0.10	0.05	0.01
1	0.00	0.02	0.10	0.45	1.32	2.71	3.84	6.63
2	0.10	0.21	0.58	1.39	2.77	4.61	5.99	9.21
3	0.35	0.58	1.21	2.37	4.11	6.25	7.81	11.34
4	0.71	1.06	1.92	3.36	5.39	7.78	9.49	13.28

Table 1
Phenotype	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	77	^(77-90)²⁄ ₉₀	1.878
Yellow Wrinkled (Y–rr)	30	25	^(25-30)²⁄ ₃₀	0.833
Green Round (yyR–)	30	40	^(40-30)²⁄ ₃₀	3.333
Green Wrinkled (yyrr)	10	18	^(18-10)²⁄ ₁₀	6.400
(sum) χ² =				12.444

Table 2
Phenotype	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	77	^(77-90)⁄ ₉₀	-0.144
Yellow Wrinkled (Y–rr)	30	25	^(25-30)⁄ ₃₀	-0.167
Green Round (yyR–)	30	40	^(40-30)⁄ ₃₀	0.333
Green Wrinkled (yyrr)	10	18	^(18-10)⁄ ₁₀	0.800
(sum) χ² =				0.822

Table 3
Phenotype	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	77	^(77-90)²⁄ ₇₇	2.195
Yellow Wrinkled (Y–rr)	30	25	^(25-30)²⁄ ₂₅	1.000
Green Round (yyR–)	30	40	^(40-30)²⁄ ₄₀	2.500
Green Wrinkled (yyrr)	10	18	^(18-10)²⁄ ₁₈	3.556
(sum) χ² =				9.250

Before you ask your instructor for a new lab partner, tell them which table is correct AND whether they can reject or fail to reject the null hypothesis using the information provided.

Table 1 with χ² = 12.444 is correct and we REJECT the null hypothesis Correct Table 2 with χ² = 0.822 is correct and we REJECT the null hypothesis Incorrect Table 3 with χ² = 9.250 is correct and we REJECT the null hypothesis Incorrect Table 1 with χ² = 12.444 is correct and we FAIL to REJECT the null hypothesis Incorrect Table 2 with χ² = 0.822 is correct and we FAIL to REJECT the null hypothesis Incorrect Table 3 with χ² = 9.250 is correct and we FAIL to REJECT the null hypothesis Incorrect MC

6555_5a93

Table of Chi-Squared (χ²) Critical Values
Degrees of Freedom	Probability
Degrees of Freedom	0.95	0.90	0.75	0.50	0.25	0.10	0.05	0.01
1	0.00	0.02	0.10	0.45	1.32	2.71	3.84	6.63
2	0.10	0.21	0.58	1.39	2.77	4.61	5.99	9.21
3	0.35	0.58	1.21	2.37	4.11	6.25	7.81	11.34
4	0.71	1.06	1.92	3.36	5.39	7.78	9.49	13.28

Table 1
Phenotype	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	72	^(72-90)²⁄ ₇₂	4.500
Yellow Wrinkled (Y–rr)	30	21	^(21-30)²⁄ ₂₁	3.857
Green Round (yyR–)	30	51	^(51-30)²⁄ ₅₁	8.647
Green Wrinkled (yyrr)	10	16	^(16-10)²⁄ ₁₆	2.250
(sum) χ² =				19.254

Table 2
Phenotype	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	72	^(72-90)⁄ ₉₀	-0.200
Yellow Wrinkled (Y–rr)	30	21	^(21-30)⁄ ₃₀	-0.300
Green Round (yyR–)	30	51	^(51-30)⁄ ₃₀	0.700
Green Wrinkled (yyrr)	10	16	^(16-10)⁄ ₁₀	0.600
(sum) χ² =				0.800

Table 3
Phenotype	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	72	^(72-90)²⁄ ₉₀	3.600
Yellow Wrinkled (Y–rr)	30	21	^(21-30)²⁄ ₃₀	2.700
Green Round (yyR–)	30	51	^(51-30)²⁄ ₃₀	14.700
Green Wrinkled (yyrr)	10	16	^(16-10)²⁄ ₁₀	3.600
(sum) χ² =				24.600

Before you ask your instructor for a new lab partner, tell them which table is correct AND whether they can reject or fail to reject the null hypothesis using the information provided.

Table 1 with χ² = 19.254 is correct and we REJECT the null hypothesis Incorrect Table 2 with χ² = 0.800 is correct and we REJECT the null hypothesis Incorrect Table 3 with χ² = 24.600 is correct and we REJECT the null hypothesis Correct Table 1 with χ² = 19.254 is correct and we FAIL to REJECT the null hypothesis Incorrect Table 2 with χ² = 0.800 is correct and we FAIL to REJECT the null hypothesis Incorrect Table 3 with χ² = 24.600 is correct and we FAIL to REJECT the null hypothesis Incorrect MC

f113_a077

Table of Chi-Squared (χ²) Critical Values
Degrees of Freedom	Probability
Degrees of Freedom	0.95	0.90	0.75	0.50	0.25	0.10	0.05	0.01
1	0.00	0.02	0.10	0.45	1.32	2.71	3.84	6.63
2	0.10	0.21	0.58	1.39	2.77	4.61	5.99	9.21
3	0.35	0.58	1.21	2.37	4.11	6.25	7.81	11.34
4	0.71	1.06	1.92	3.36	5.39	7.78	9.49	13.28

Table 1
Phenotype	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	95	^(95-90)²⁄ ₉₀	0.278
Yellow Wrinkled (Y–rr)	30	32	^(32-30)²⁄ ₃₀	0.133
Green Round (yyR–)	30	29	^(29-30)²⁄ ₃₀	0.033
Green Wrinkled (yyrr)	10	4	^(4-10)²⁄ ₁₀	3.600
(sum) χ² =				4.044

Table 2
Phenotype	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	95	^(95-90)²⁄ ₉₅	0.263
Yellow Wrinkled (Y–rr)	30	32	^(32-30)²⁄ ₃₂	0.125
Green Round (yyR–)	30	29	^(29-30)²⁄ ₂₉	0.034
Green Wrinkled (yyrr)	10	4	^(4-10)²⁄ ₄	9.000
(sum) χ² =				9.423

Table 3
Phenotype	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	95	^(95-90)²⁄ _95²	0.003
Yellow Wrinkled (Y–rr)	30	32	^(32-30)²⁄ _32²	0.004
Green Round (yyR–)	30	29	^(29-30)²⁄ _29²	0.001
Green Wrinkled (yyrr)	10	4	^(4-10)²⁄ _4²	2.250
(sum) χ² =				2.258

Before you ask your instructor for a new lab partner, tell them which table is correct AND whether they can reject or fail to reject the null hypothesis using the information provided.

Table 1 with χ² = 4.044 is correct and we REJECT the null hypothesis Incorrect Table 2 with χ² = 9.423 is correct and we REJECT the null hypothesis Incorrect Table 3 with χ² = 2.258 is correct and we REJECT the null hypothesis Incorrect Table 1 with χ² = 4.044 is correct and we FAIL to REJECT the null hypothesis Correct Table 2 with χ² = 9.423 is correct and we FAIL to REJECT the null hypothesis Incorrect Table 3 with χ² = 2.258 is correct and we FAIL to REJECT the null hypothesis Incorrect MC

c926_e133

Table of Chi-Squared (χ²) Critical Values
Degrees of Freedom	Probability
Degrees of Freedom	0.95	0.90	0.75	0.50	0.25	0.10	0.05	0.01
1	0.00	0.02	0.10	0.45	1.32	2.71	3.84	6.63
2	0.10	0.21	0.58	1.39	2.77	4.61	5.99	9.21
3	0.35	0.58	1.21	2.37	4.11	6.25	7.81	11.34
4	0.71	1.06	1.92	3.36	5.39	7.78	9.49	13.28

Table 1
Phenotype	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	85	^(85-90)²⁄ _85²	0.003
Yellow Wrinkled (Y–rr)	30	27	^(27-30)²⁄ _27²	0.012
Green Round (yyR–)	30	35	^(35-30)²⁄ _35²	0.020
Green Wrinkled (yyrr)	10	13	^(13-10)²⁄ _13²	0.053
(sum) χ² =				0.089

Table 2
Phenotype	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	85	^(85-90)²⁄ ₈₅	0.294
Yellow Wrinkled (Y–rr)	30	27	^(27-30)²⁄ ₂₇	0.333
Green Round (yyR–)	30	35	^(35-30)²⁄ ₃₅	0.714
Green Wrinkled (yyrr)	10	13	^(13-10)²⁄ ₁₃	0.692
(sum) χ² =				2.034

Table 3
Phenotype	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	85	^(85-90)²⁄ ₉₀	0.278
Yellow Wrinkled (Y–rr)	30	27	^(27-30)²⁄ ₃₀	0.300
Green Round (yyR–)	30	35	^(35-30)²⁄ ₃₀	0.833
Green Wrinkled (yyrr)	10	13	^(13-10)²⁄ ₁₀	0.900
(sum) χ² =				2.311

Before you ask your instructor for a new lab partner, tell them which table is correct AND whether they can reject or fail to reject the null hypothesis using the information provided.

Table 1 with χ² = 0.089 is correct and we REJECT the null hypothesis Incorrect Table 2 with χ² = 2.034 is correct and we REJECT the null hypothesis Incorrect Table 3 with χ² = 2.311 is correct and we REJECT the null hypothesis Incorrect Table 1 with χ² = 0.089 is correct and we FAIL to REJECT the null hypothesis Incorrect Table 2 with χ² = 2.034 is correct and we FAIL to REJECT the null hypothesis Incorrect Table 3 with χ² = 2.311 is correct and we FAIL to REJECT the null hypothesis Correct MC

ad02_ea85

Table of Chi-Squared (χ²) Critical Values
Degrees of Freedom	Probability
Degrees of Freedom	0.95	0.90	0.75	0.50	0.25	0.10	0.05	0.01
1	0.00	0.02	0.10	0.45	1.32	2.71	3.84	6.63
2	0.10	0.21	0.58	1.39	2.77	4.61	5.99	9.21
3	0.35	0.58	1.21	2.37	4.11	6.25	7.81	11.34
4	0.71	1.06	1.92	3.36	5.39	7.78	9.49	13.28

Table 1
Phenotype	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	84	^(84-90)²⁄ ₈₄	0.429
Yellow Wrinkled (Y–rr)	30	22	^(22-30)²⁄ ₂₂	2.909
Green Round (yyR–)	30	37	^(37-30)²⁄ ₃₇	1.324
Green Wrinkled (yyrr)	10	17	^(17-10)²⁄ ₁₇	2.882
(sum) χ² =				7.544

Table 2
Phenotype	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	84	^(84-90)⁄ ₉₀	-0.067
Yellow Wrinkled (Y–rr)	30	22	^(22-30)⁄ ₃₀	-0.267
Green Round (yyR–)	30	37	^(37-30)⁄ ₃₀	0.233
Green Wrinkled (yyrr)	10	17	^(17-10)⁄ ₁₀	0.700
(sum) χ² =				0.600

Table 3
Phenotype	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	84	^(84-90)²⁄ ₉₀	0.400
Yellow Wrinkled (Y–rr)	30	22	^(22-30)²⁄ ₃₀	2.133
Green Round (yyR–)	30	37	^(37-30)²⁄ ₃₀	1.633
Green Wrinkled (yyrr)	10	17	^(17-10)²⁄ ₁₀	4.900
(sum) χ² =				9.067

Before you ask your instructor for a new lab partner, tell them which table is correct AND whether they can reject or fail to reject the null hypothesis using the information provided.

Table 1 with χ² = 7.544 is correct and we REJECT the null hypothesis Incorrect Table 2 with χ² = 0.600 is correct and we REJECT the null hypothesis Incorrect Table 3 with χ² = 9.067 is correct and we REJECT the null hypothesis Correct Table 1 with χ² = 7.544 is correct and we FAIL to REJECT the null hypothesis Incorrect Table 2 with χ² = 0.600 is correct and we FAIL to REJECT the null hypothesis Incorrect Table 3 with χ² = 9.067 is correct and we FAIL to REJECT the null hypothesis Incorrect MC

173b_3982

Table of Chi-Squared (χ²) Critical Values
Degrees of Freedom	Probability
Degrees of Freedom	0.95	0.90	0.75	0.50	0.25	0.10	0.05	0.01
1	0.00	0.02	0.10	0.45	1.32	2.71	3.84	6.63
2	0.10	0.21	0.58	1.39	2.77	4.61	5.99	9.21
3	0.35	0.58	1.21	2.37	4.11	6.25	7.81	11.34
4	0.71	1.06	1.92	3.36	5.39	7.78	9.49	13.28

Table 1
Phenotype	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	84	^(84-90)⁄ ₉₀	-0.067
Yellow Wrinkled (Y–rr)	30	43	^(43-30)⁄ ₃₀	0.433
Green Round (yyR–)	30	26	^(26-30)⁄ ₃₀	-0.133
Green Wrinkled (yyrr)	10	7	^(7-10)⁄ ₁₀	-0.300
(sum) χ² =				-0.067

Table 2
Phenotype	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	84	^(84-90)²⁄ ₉₀	0.400
Yellow Wrinkled (Y–rr)	30	43	^(43-30)²⁄ ₃₀	5.633
Green Round (yyR–)	30	26	^(26-30)²⁄ ₃₀	0.533
Green Wrinkled (yyrr)	10	7	^(7-10)²⁄ ₁₀	0.900
(sum) χ² =				7.467

Table 3
Phenotype	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	84	^(84-90)²⁄ _84²	0.005
Yellow Wrinkled (Y–rr)	30	43	^(43-30)²⁄ _43²	0.091
Green Round (yyR–)	30	26	^(26-30)²⁄ _26²	0.024
Green Wrinkled (yyrr)	10	7	^(7-10)²⁄ _7²	0.184
(sum) χ² =				0.304

Before you ask your instructor for a new lab partner, tell them which table is correct AND whether they can reject or fail to reject the null hypothesis using the information provided.

Table 1 with χ² = -0.067 is correct and we REJECT the null hypothesis Incorrect Table 2 with χ² = 7.467 is correct and we REJECT the null hypothesis Incorrect Table 3 with χ² = 0.304 is correct and we REJECT the null hypothesis Incorrect Table 1 with χ² = -0.067 is correct and we FAIL to REJECT the null hypothesis Incorrect Table 2 with χ² = 7.467 is correct and we FAIL to REJECT the null hypothesis Correct Table 3 with χ² = 0.304 is correct and we FAIL to REJECT the null hypothesis Incorrect MC

628d_ceba

Table of Chi-Squared (χ²) Critical Values
Degrees of Freedom	Probability
Degrees of Freedom	0.95	0.90	0.75	0.50	0.25	0.10	0.05	0.01
1	0.00	0.02	0.10	0.45	1.32	2.71	3.84	6.63
2	0.10	0.21	0.58	1.39	2.77	4.61	5.99	9.21
3	0.35	0.58	1.21	2.37	4.11	6.25	7.81	11.34
4	0.71	1.06	1.92	3.36	5.39	7.78	9.49	13.28

Table 1
Phenotype	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	78	^(78-90)⁄ ₉₀	-0.133
Yellow Wrinkled (Y–rr)	30	21	^(21-30)⁄ ₃₀	-0.300
Green Round (yyR–)	30	42	^(42-30)⁄ ₃₀	0.400
Green Wrinkled (yyrr)	10	19	^(19-10)⁄ ₁₀	0.900
(sum) χ² =				0.867

Table 2
Phenotype	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	78	^(78-90)²⁄ ₉₀	1.600
Yellow Wrinkled (Y–rr)	30	21	^(21-30)²⁄ ₃₀	2.700
Green Round (yyR–)	30	42	^(42-30)²⁄ ₃₀	4.800
Green Wrinkled (yyrr)	10	19	^(19-10)²⁄ ₁₀	8.100
(sum) χ² =				17.200

Table 3
Phenotype	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	78	^(78-90)²⁄ _78²	0.024
Yellow Wrinkled (Y–rr)	30	21	^(21-30)²⁄ _21²	0.184
Green Round (yyR–)	30	42	^(42-30)²⁄ _42²	0.082
Green Wrinkled (yyrr)	10	19	^(19-10)²⁄ _19²	0.224
(sum) χ² =				0.513

Before you ask your instructor for a new lab partner, tell them which table is correct AND whether they can reject or fail to reject the null hypothesis using the information provided.

Table 1 with χ² = 0.867 is correct and we REJECT the null hypothesis Incorrect Table 2 with χ² = 17.200 is correct and we REJECT the null hypothesis Correct Table 3 with χ² = 0.513 is correct and we REJECT the null hypothesis Incorrect Table 1 with χ² = 0.867 is correct and we FAIL to REJECT the null hypothesis Incorrect Table 2 with χ² = 17.200 is correct and we FAIL to REJECT the null hypothesis Incorrect Table 3 with χ² = 0.513 is correct and we FAIL to REJECT the null hypothesis Incorrect MC

dc4f_4800

Table of Chi-Squared (χ²) Critical Values
Degrees of Freedom	Probability
Degrees of Freedom	0.95	0.90	0.75	0.50	0.25	0.10	0.05	0.01
1	0.00	0.02	0.10	0.45	1.32	2.71	3.84	6.63
2	0.10	0.21	0.58	1.39	2.77	4.61	5.99	9.21
3	0.35	0.58	1.21	2.37	4.11	6.25	7.81	11.34
4	0.71	1.06	1.92	3.36	5.39	7.78	9.49	13.28

Table 1
Phenotype	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	68	^(68-90)²⁄ ₉₀	5.378
Yellow Wrinkled (Y–rr)	30	36	^(36-30)²⁄ ₃₀	1.200
Green Round (yyR–)	30	37	^(37-30)²⁄ ₃₀	1.633
Green Wrinkled (yyrr)	10	19	^(19-10)²⁄ ₁₀	8.100
(sum) χ² =				16.311

Table 2
Phenotype	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	68	^(68-90)²⁄ _68²	0.105
Yellow Wrinkled (Y–rr)	30	36	^(36-30)²⁄ _36²	0.028
Green Round (yyR–)	30	37	^(37-30)²⁄ _37²	0.036
Green Wrinkled (yyrr)	10	19	^(19-10)²⁄ _19²	0.224
(sum) χ² =				0.393

Table 3
Phenotype	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	68	^(68-90)²⁄ ₆₈	7.118
Yellow Wrinkled (Y–rr)	30	36	^(36-30)²⁄ ₃₆	1.000
Green Round (yyR–)	30	37	^(37-30)²⁄ ₃₇	1.324
Green Wrinkled (yyrr)	10	19	^(19-10)²⁄ ₁₉	4.263
(sum) χ² =				13.705

Before you ask your instructor for a new lab partner, tell them which table is correct AND whether they can reject or fail to reject the null hypothesis using the information provided.

Table 1 with χ² = 16.311 is correct and we REJECT the null hypothesis Correct Table 2 with χ² = 0.393 is correct and we REJECT the null hypothesis Incorrect Table 3 with χ² = 13.705 is correct and we REJECT the null hypothesis Incorrect Table 1 with χ² = 16.311 is correct and we FAIL to REJECT the null hypothesis Incorrect Table 2 with χ² = 0.393 is correct and we FAIL to REJECT the null hypothesis Incorrect Table 3 with χ² = 13.705 is correct and we FAIL to REJECT the null hypothesis Incorrect MC

09a7_dab6

Table of Chi-Squared (χ²) Critical Values
Degrees of Freedom	Probability
Degrees of Freedom	0.95	0.90	0.75	0.50	0.25	0.10	0.05	0.01
1	0.00	0.02	0.10	0.45	1.32	2.71	3.84	6.63
2	0.10	0.21	0.58	1.39	2.77	4.61	5.99	9.21
3	0.35	0.58	1.21	2.37	4.11	6.25	7.81	11.34
4	0.71	1.06	1.92	3.36	5.39	7.78	9.49	13.28

Table 1
Phenotype	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	78	^(78-90)²⁄ ₇₈	1.846
Yellow Wrinkled (Y–rr)	30	25	^(25-30)²⁄ ₂₅	1.000
Green Round (yyR–)	30	40	^(40-30)²⁄ ₄₀	2.500
Green Wrinkled (yyrr)	10	17	^(17-10)²⁄ ₁₇	2.882
(sum) χ² =				8.229

Table 2
Phenotype	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	78	^(78-90)⁄ ₉₀	-0.133
Yellow Wrinkled (Y–rr)	30	25	^(25-30)⁄ ₃₀	-0.167
Green Round (yyR–)	30	40	^(40-30)⁄ ₃₀	0.333
Green Wrinkled (yyrr)	10	17	^(17-10)⁄ ₁₀	0.700
(sum) χ² =				0.733

Table 3
Phenotype	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	78	^(78-90)²⁄ ₉₀	1.600
Yellow Wrinkled (Y–rr)	30	25	^(25-30)²⁄ ₃₀	0.833
Green Round (yyR–)	30	40	^(40-30)²⁄ ₃₀	3.333
Green Wrinkled (yyrr)	10	17	^(17-10)²⁄ ₁₀	4.900
(sum) χ² =				10.667

Before you ask your instructor for a new lab partner, tell them which table is correct AND whether they can reject or fail to reject the null hypothesis using the information provided.

Table 1 with χ² = 8.229 is correct and we REJECT the null hypothesis Incorrect Table 2 with χ² = 0.733 is correct and we REJECT the null hypothesis Incorrect Table 3 with χ² = 10.667 is correct and we REJECT the null hypothesis Correct Table 1 with χ² = 8.229 is correct and we FAIL to REJECT the null hypothesis Incorrect Table 2 with χ² = 0.733 is correct and we FAIL to REJECT the null hypothesis Incorrect Table 3 with χ² = 10.667 is correct and we FAIL to REJECT the null hypothesis Incorrect MC

9b8a_0f00

Table of Chi-Squared (χ²) Critical Values
Degrees of Freedom	Probability
Degrees of Freedom	0.95	0.90	0.75	0.50	0.25	0.10	0.05	0.01
1	0.00	0.02	0.10	0.45	1.32	2.71	3.84	6.63
2	0.10	0.21	0.58	1.39	2.77	4.61	5.99	9.21
3	0.35	0.58	1.21	2.37	4.11	6.25	7.81	11.34
4	0.71	1.06	1.92	3.36	5.39	7.78	9.49	13.28

Table 1
Phenotype	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	84	^(84-90)²⁄ ₉₀	0.400
Yellow Wrinkled (Y–rr)	30	21	^(21-30)²⁄ ₃₀	2.700
Green Round (yyR–)	30	36	^(36-30)²⁄ ₃₀	1.200
Green Wrinkled (yyrr)	10	19	^(19-10)²⁄ ₁₀	8.100
(sum) χ² =				12.400

Table 2
Phenotype	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	84	^(84-90)⁄ ₉₀	-0.067
Yellow Wrinkled (Y–rr)	30	21	^(21-30)⁄ ₃₀	-0.300
Green Round (yyR–)	30	36	^(36-30)⁄ ₃₀	0.200
Green Wrinkled (yyrr)	10	19	^(19-10)⁄ ₁₀	0.900
(sum) χ² =				0.733

Table 3
Phenotype	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	84	^(84-90)²⁄ _84²	0.005
Yellow Wrinkled (Y–rr)	30	21	^(21-30)²⁄ _21²	0.184
Green Round (yyR–)	30	36	^(36-30)²⁄ _36²	0.028
Green Wrinkled (yyrr)	10	19	^(19-10)²⁄ _19²	0.224
(sum) χ² =				0.441

Before you ask your instructor for a new lab partner, tell them which table is correct AND whether they can reject or fail to reject the null hypothesis using the information provided.

Table 1 with χ² = 12.400 is correct and we REJECT the null hypothesis Correct Table 2 with χ² = 0.733 is correct and we REJECT the null hypothesis Incorrect Table 3 with χ² = 0.441 is correct and we REJECT the null hypothesis Incorrect Table 1 with χ² = 12.400 is correct and we FAIL to REJECT the null hypothesis Incorrect Table 2 with χ² = 0.733 is correct and we FAIL to REJECT the null hypothesis Incorrect Table 3 with χ² = 0.441 is correct and we FAIL to REJECT the null hypothesis Incorrect MC

1776_12e4

Table of Chi-Squared (χ²) Critical Values
Degrees of Freedom	Probability
Degrees of Freedom	0.95	0.90	0.75	0.50	0.25	0.10	0.05	0.01
1	0.00	0.02	0.10	0.45	1.32	2.71	3.84	6.63
2	0.10	0.21	0.58	1.39	2.77	4.61	5.99	9.21
3	0.35	0.58	1.21	2.37	4.11	6.25	7.81	11.34
4	0.71	1.06	1.92	3.36	5.39	7.78	9.49	13.28

Table 1
Phenotype	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	84	^(84-90)²⁄ _84²	0.005
Yellow Wrinkled (Y–rr)	30	22	^(22-30)²⁄ _22²	0.132
Green Round (yyR–)	30	36	^(36-30)²⁄ _36²	0.028
Green Wrinkled (yyrr)	10	18	^(18-10)²⁄ _18²	0.198
(sum) χ² =				0.363

Table 2
Phenotype	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	84	^(84-90)⁄ ₉₀	-0.067
Yellow Wrinkled (Y–rr)	30	22	^(22-30)⁄ ₃₀	-0.267
Green Round (yyR–)	30	36	^(36-30)⁄ ₃₀	0.200
Green Wrinkled (yyrr)	10	18	^(18-10)⁄ ₁₀	0.800
(sum) χ² =				0.667

Table 3
Phenotype	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	84	^(84-90)²⁄ ₉₀	0.400
Yellow Wrinkled (Y–rr)	30	22	^(22-30)²⁄ ₃₀	2.133
Green Round (yyR–)	30	36	^(36-30)²⁄ ₃₀	1.200
Green Wrinkled (yyrr)	10	18	^(18-10)²⁄ ₁₀	6.400
(sum) χ² =				10.133

Before you ask your instructor for a new lab partner, tell them which table is correct AND whether they can reject or fail to reject the null hypothesis using the information provided.

Table 1 with χ² = 0.363 is correct and we REJECT the null hypothesis Incorrect Table 2 with χ² = 0.667 is correct and we REJECT the null hypothesis Incorrect Table 3 with χ² = 10.133 is correct and we REJECT the null hypothesis Correct Table 1 with χ² = 0.363 is correct and we FAIL to REJECT the null hypothesis Incorrect Table 2 with χ² = 0.667 is correct and we FAIL to REJECT the null hypothesis Incorrect Table 3 with χ² = 10.133 is correct and we FAIL to REJECT the null hypothesis Incorrect MC

ca20_cd49

Table of Chi-Squared (χ²) Critical Values
Degrees of Freedom	Probability
Degrees of Freedom	0.95	0.90	0.75	0.50	0.25	0.10	0.05	0.01
1	0.00	0.02	0.10	0.45	1.32	2.71	3.84	6.63
2	0.10	0.21	0.58	1.39	2.77	4.61	5.99	9.21
3	0.35	0.58	1.21	2.37	4.11	6.25	7.81	11.34
4	0.71	1.06	1.92	3.36	5.39	7.78	9.49	13.28

Table 1
Phenotype	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	84	^(84-90)²⁄ ₉₀	0.400
Yellow Wrinkled (Y–rr)	30	20	^(20-30)²⁄ ₃₀	3.333
Green Round (yyR–)	30	41	^(41-30)²⁄ ₃₀	4.033
Green Wrinkled (yyrr)	10	15	^(15-10)²⁄ ₁₀	2.500
(sum) χ² =				10.267

Table 2
Phenotype	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	84	^(84-90)⁄ ₉₀	-0.067
Yellow Wrinkled (Y–rr)	30	20	^(20-30)⁄ ₃₀	-0.333
Green Round (yyR–)	30	41	^(41-30)⁄ ₃₀	0.367
Green Wrinkled (yyrr)	10	15	^(15-10)⁄ ₁₀	0.500
(sum) χ² =				0.467

Table 3
Phenotype	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	84	^(84-90)²⁄ _84²	0.005
Yellow Wrinkled (Y–rr)	30	20	^(20-30)²⁄ _20²	0.250
Green Round (yyR–)	30	41	^(41-30)²⁄ _41²	0.072
Green Wrinkled (yyrr)	10	15	^(15-10)²⁄ _15²	0.111
(sum) χ² =				0.438

Before you ask your instructor for a new lab partner, tell them which table is correct AND whether they can reject or fail to reject the null hypothesis using the information provided.

Table 1 with χ² = 10.267 is correct and we REJECT the null hypothesis Correct Table 2 with χ² = 0.467 is correct and we REJECT the null hypothesis Incorrect Table 3 with χ² = 0.438 is correct and we REJECT the null hypothesis Incorrect Table 1 with χ² = 10.267 is correct and we FAIL to REJECT the null hypothesis Incorrect Table 2 with χ² = 0.467 is correct and we FAIL to REJECT the null hypothesis Incorrect Table 3 with χ² = 0.438 is correct and we FAIL to REJECT the null hypothesis Incorrect MC

88f4_0a72

Table of Chi-Squared (χ²) Critical Values
Degrees of Freedom	Probability
Degrees of Freedom	0.95	0.90	0.75	0.50	0.25	0.10	0.05	0.01
1	0.00	0.02	0.10	0.45	1.32	2.71	3.84	6.63
2	0.10	0.21	0.58	1.39	2.77	4.61	5.99	9.21
3	0.35	0.58	1.21	2.37	4.11	6.25	7.81	11.34
4	0.71	1.06	1.92	3.36	5.39	7.78	9.49	13.28

Table 1
Phenotype	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	94	^(94-90)²⁄ ₉₄	0.170
Yellow Wrinkled (Y–rr)	30	29	^(29-30)²⁄ ₂₉	0.034
Green Round (yyR–)	30	24	^(24-30)²⁄ ₂₄	1.500
Green Wrinkled (yyrr)	10	13	^(13-10)²⁄ ₁₃	0.692
(sum) χ² =				2.397

Table 2
Phenotype	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	94	^(94-90)⁄ ₉₀	0.044
Yellow Wrinkled (Y–rr)	30	29	^(29-30)⁄ ₃₀	-0.033
Green Round (yyR–)	30	24	^(24-30)⁄ ₃₀	-0.200
Green Wrinkled (yyrr)	10	13	^(13-10)⁄ ₁₀	0.300
(sum) χ² =				0.111

Table 3
Phenotype	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	94	^(94-90)²⁄ ₉₀	0.178
Yellow Wrinkled (Y–rr)	30	29	^(29-30)²⁄ ₃₀	0.033
Green Round (yyR–)	30	24	^(24-30)²⁄ ₃₀	1.200
Green Wrinkled (yyrr)	10	13	^(13-10)²⁄ ₁₀	0.900
(sum) χ² =				2.311

Before you ask your instructor for a new lab partner, tell them which table is correct AND whether they can reject or fail to reject the null hypothesis using the information provided.

Table 1 with χ² = 2.397 is correct and we REJECT the null hypothesis Incorrect Table 2 with χ² = 0.111 is correct and we REJECT the null hypothesis Incorrect Table 3 with χ² = 2.311 is correct and we REJECT the null hypothesis Incorrect Table 1 with χ² = 2.397 is correct and we FAIL to REJECT the null hypothesis Incorrect Table 2 with χ² = 0.111 is correct and we FAIL to REJECT the null hypothesis Incorrect Table 3 with χ² = 2.311 is correct and we FAIL to REJECT the null hypothesis Correct MC

ba3a_b24d

Table of Chi-Squared (χ²) Critical Values
Degrees of Freedom	Probability
Degrees of Freedom	0.95	0.90	0.75	0.50	0.25	0.10	0.05	0.01
1	0.00	0.02	0.10	0.45	1.32	2.71	3.84	6.63
2	0.10	0.21	0.58	1.39	2.77	4.61	5.99	9.21
3	0.35	0.58	1.21	2.37	4.11	6.25	7.81	11.34
4	0.71	1.06	1.92	3.36	5.39	7.78	9.49	13.28

Table 1
Phenotype	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	81	^(81-90)²⁄ ₉₀	0.900
Yellow Wrinkled (Y–rr)	30	15	^(15-30)²⁄ ₃₀	7.500
Green Round (yyR–)	30	47	^(47-30)²⁄ ₃₀	9.633
Green Wrinkled (yyrr)	10	17	^(17-10)²⁄ ₁₀	4.900
(sum) χ² =				22.933

Table 2
Phenotype	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	81	^(81-90)²⁄ _81²	0.012
Yellow Wrinkled (Y–rr)	30	15	^(15-30)²⁄ _15²	1.000
Green Round (yyR–)	30	47	^(47-30)²⁄ _47²	0.131
Green Wrinkled (yyrr)	10	17	^(17-10)²⁄ _17²	0.170
(sum) χ² =				1.313

Table 3
Phenotype	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	81	^(81-90)⁄ ₉₀	-0.100
Yellow Wrinkled (Y–rr)	30	15	^(15-30)⁄ ₃₀	-0.500
Green Round (yyR–)	30	47	^(47-30)⁄ ₃₀	0.567
Green Wrinkled (yyrr)	10	17	^(17-10)⁄ ₁₀	0.700
(sum) χ² =				0.667

Before you ask your instructor for a new lab partner, tell them which table is correct AND whether they can reject or fail to reject the null hypothesis using the information provided.

Table 1 with χ² = 22.933 is correct and we REJECT the null hypothesis Correct Table 2 with χ² = 1.313 is correct and we REJECT the null hypothesis Incorrect Table 3 with χ² = 0.667 is correct and we REJECT the null hypothesis Incorrect Table 1 with χ² = 22.933 is correct and we FAIL to REJECT the null hypothesis Incorrect Table 2 with χ² = 1.313 is correct and we FAIL to REJECT the null hypothesis Incorrect Table 3 with χ² = 0.667 is correct and we FAIL to REJECT the null hypothesis Incorrect MC

9438_b4ca

Table of Chi-Squared (χ²) Critical Values
Degrees of Freedom	Probability
Degrees of Freedom	0.95	0.90	0.75	0.50	0.25	0.10	0.05	0.01
1	0.00	0.02	0.10	0.45	1.32	2.71	3.84	6.63
2	0.10	0.21	0.58	1.39	2.77	4.61	5.99	9.21
3	0.35	0.58	1.21	2.37	4.11	6.25	7.81	11.34
4	0.71	1.06	1.92	3.36	5.39	7.78	9.49	13.28

Table 1
Phenotype	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	93	^(93-90)²⁄ _93²	0.001
Yellow Wrinkled (Y–rr)	30	16	^(16-30)²⁄ _16²	0.766
Green Round (yyR–)	30	35	^(35-30)²⁄ _35²	0.020
Green Wrinkled (yyrr)	10	16	^(16-10)²⁄ _16²	0.141
(sum) χ² =				0.928

Table 2
Phenotype	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	93	^(93-90)²⁄ ₉₀	0.100
Yellow Wrinkled (Y–rr)	30	16	^(16-30)²⁄ ₃₀	6.533
Green Round (yyR–)	30	35	^(35-30)²⁄ ₃₀	0.833
Green Wrinkled (yyrr)	10	16	^(16-10)²⁄ ₁₀	3.600
(sum) χ² =				11.067

Table 3
Phenotype	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	93	^(93-90)⁄ ₉₀	0.033
Yellow Wrinkled (Y–rr)	30	16	^(16-30)⁄ ₃₀	-0.467
Green Round (yyR–)	30	35	^(35-30)⁄ ₃₀	0.167
Green Wrinkled (yyrr)	10	16	^(16-10)⁄ ₁₀	0.600
(sum) χ² =				0.333

Before you ask your instructor for a new lab partner, tell them which table is correct AND whether they can reject or fail to reject the null hypothesis using the information provided.

Table 1 with χ² = 0.928 is correct and we REJECT the null hypothesis Incorrect Table 2 with χ² = 11.067 is correct and we REJECT the null hypothesis Correct Table 3 with χ² = 0.333 is correct and we REJECT the null hypothesis Incorrect Table 1 with χ² = 0.928 is correct and we FAIL to REJECT the null hypothesis Incorrect Table 2 with χ² = 11.067 is correct and we FAIL to REJECT the null hypothesis Incorrect Table 3 with χ² = 0.333 is correct and we FAIL to REJECT the null hypothesis Incorrect MC

08df_07d5

Table of Chi-Squared (χ²) Critical Values
Degrees of Freedom	Probability
Degrees of Freedom	0.95	0.90	0.75	0.50	0.25	0.10	0.05	0.01
1	0.00	0.02	0.10	0.45	1.32	2.71	3.84	6.63
2	0.10	0.21	0.58	1.39	2.77	4.61	5.99	9.21
3	0.35	0.58	1.21	2.37	4.11	6.25	7.81	11.34
4	0.71	1.06	1.92	3.36	5.39	7.78	9.49	13.28

Table 1
Phenotype	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	81	^(81-90)²⁄ ₈₁	1.000
Yellow Wrinkled (Y–rr)	30	31	^(31-30)²⁄ ₃₁	0.032
Green Round (yyR–)	30	34	^(34-30)²⁄ ₃₄	0.471
Green Wrinkled (yyrr)	10	14	^(14-10)²⁄ ₁₄	1.143
(sum) χ² =				2.646

Table 2
Phenotype	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	81	^(81-90)²⁄ ₉₀	0.900
Yellow Wrinkled (Y–rr)	30	31	^(31-30)²⁄ ₃₀	0.033
Green Round (yyR–)	30	34	^(34-30)²⁄ ₃₀	0.533
Green Wrinkled (yyrr)	10	14	^(14-10)²⁄ ₁₀	1.600
(sum) χ² =				3.067

Table 3
Phenotype	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	81	^(81-90)²⁄ _81²	0.012
Yellow Wrinkled (Y–rr)	30	31	^(31-30)²⁄ _31²	0.001
Green Round (yyR–)	30	34	^(34-30)²⁄ _34²	0.014
Green Wrinkled (yyrr)	10	14	^(14-10)²⁄ _14²	0.082
(sum) χ² =				0.109

Before you ask your instructor for a new lab partner, tell them which table is correct AND whether they can reject or fail to reject the null hypothesis using the information provided.

Table 1 with χ² = 2.646 is correct and we REJECT the null hypothesis Incorrect Table 2 with χ² = 3.067 is correct and we REJECT the null hypothesis Incorrect Table 3 with χ² = 0.109 is correct and we REJECT the null hypothesis Incorrect Table 1 with χ² = 2.646 is correct and we FAIL to REJECT the null hypothesis Incorrect Table 2 with χ² = 3.067 is correct and we FAIL to REJECT the null hypothesis Correct Table 3 with χ² = 0.109 is correct and we FAIL to REJECT the null hypothesis Incorrect MC

088a_1029

Table of Chi-Squared (χ²) Critical Values
Degrees of Freedom	Probability
Degrees of Freedom	0.95	0.90	0.75	0.50	0.25	0.10	0.05	0.01
1	0.00	0.02	0.10	0.45	1.32	2.71	3.84	6.63
2	0.10	0.21	0.58	1.39	2.77	4.61	5.99	9.21
3	0.35	0.58	1.21	2.37	4.11	6.25	7.81	11.34
4	0.71	1.06	1.92	3.36	5.39	7.78	9.49	13.28

Table 1
Phenotype	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	83	^(83-90)⁄ ₉₀	-0.078
Yellow Wrinkled (Y–rr)	30	38	^(38-30)⁄ ₃₀	0.267
Green Round (yyR–)	30	27	^(27-30)⁄ ₃₀	-0.100
Green Wrinkled (yyrr)	10	12	^(12-10)⁄ ₁₀	0.200
(sum) χ² =				0.289

Table 2
Phenotype	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	83	^(83-90)²⁄ _83²	0.007
Yellow Wrinkled (Y–rr)	30	38	^(38-30)²⁄ _38²	0.044
Green Round (yyR–)	30	27	^(27-30)²⁄ _27²	0.012
Green Wrinkled (yyrr)	10	12	^(12-10)²⁄ _12²	0.028
(sum) χ² =				0.092

Table 3
Phenotype	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	83	^(83-90)²⁄ ₉₀	0.544
Yellow Wrinkled (Y–rr)	30	38	^(38-30)²⁄ ₃₀	2.133
Green Round (yyR–)	30	27	^(27-30)²⁄ ₃₀	0.300
Green Wrinkled (yyrr)	10	12	^(12-10)²⁄ ₁₀	0.400
(sum) χ² =				3.378

Before you ask your instructor for a new lab partner, tell them which table is correct AND whether they can reject or fail to reject the null hypothesis using the information provided.

Table 1 with χ² = 0.289 is correct and we REJECT the null hypothesis Incorrect Table 2 with χ² = 0.092 is correct and we REJECT the null hypothesis Incorrect Table 3 with χ² = 3.378 is correct and we REJECT the null hypothesis Incorrect Table 1 with χ² = 0.289 is correct and we FAIL to REJECT the null hypothesis Incorrect Table 2 with χ² = 0.092 is correct and we FAIL to REJECT the null hypothesis Incorrect Table 3 with χ² = 3.378 is correct and we FAIL to REJECT the null hypothesis Correct MC

8eff_b613

Table of Chi-Squared (χ²) Critical Values
Degrees of Freedom	Probability
Degrees of Freedom	0.95	0.90	0.75	0.50	0.25	0.10	0.05	0.01
1	0.00	0.02	0.10	0.45	1.32	2.71	3.84	6.63
2	0.10	0.21	0.58	1.39	2.77	4.61	5.99	9.21
3	0.35	0.58	1.21	2.37	4.11	6.25	7.81	11.34
4	0.71	1.06	1.92	3.36	5.39	7.78	9.49	13.28

Table 1
Phenotype	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	82	^(82-90)²⁄ ₈₂	0.780
Yellow Wrinkled (Y–rr)	30	20	^(20-30)²⁄ ₂₀	5.000
Green Round (yyR–)	30	41	^(41-30)²⁄ ₄₁	2.951
Green Wrinkled (yyrr)	10	17	^(17-10)²⁄ ₁₇	2.882
(sum) χ² =				11.614

Table 2
Phenotype	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	82	^(82-90)⁄ ₉₀	-0.089
Yellow Wrinkled (Y–rr)	30	20	^(20-30)⁄ ₃₀	-0.333
Green Round (yyR–)	30	41	^(41-30)⁄ ₃₀	0.367
Green Wrinkled (yyrr)	10	17	^(17-10)⁄ ₁₀	0.700
(sum) χ² =				0.644

Table 3
Phenotype	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	82	^(82-90)²⁄ ₉₀	0.711
Yellow Wrinkled (Y–rr)	30	20	^(20-30)²⁄ ₃₀	3.333
Green Round (yyR–)	30	41	^(41-30)²⁄ ₃₀	4.033
Green Wrinkled (yyrr)	10	17	^(17-10)²⁄ ₁₀	4.900
(sum) χ² =				12.978

Before you ask your instructor for a new lab partner, tell them which table is correct AND whether they can reject or fail to reject the null hypothesis using the information provided.

Table 1 with χ² = 11.614 is correct and we REJECT the null hypothesis Incorrect Table 2 with χ² = 0.644 is correct and we REJECT the null hypothesis Incorrect Table 3 with χ² = 12.978 is correct and we REJECT the null hypothesis Correct Table 1 with χ² = 11.614 is correct and we FAIL to REJECT the null hypothesis Incorrect Table 2 with χ² = 0.644 is correct and we FAIL to REJECT the null hypothesis Incorrect Table 3 with χ² = 12.978 is correct and we FAIL to REJECT the null hypothesis Incorrect MC

2a78_47c9

Table of Chi-Squared (χ²) Critical Values
Degrees of Freedom	Probability
Degrees of Freedom	0.95	0.90	0.75	0.50	0.25	0.10	0.05	0.01
1	0.00	0.02	0.10	0.45	1.32	2.71	3.84	6.63
2	0.10	0.21	0.58	1.39	2.77	4.61	5.99	9.21
3	0.35	0.58	1.21	2.37	4.11	6.25	7.81	11.34
4	0.71	1.06	1.92	3.36	5.39	7.78	9.49	13.28

Table 1
Phenotype	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	93	^(93-90)²⁄ ₉₃	0.097
Yellow Wrinkled (Y–rr)	30	28	^(28-30)²⁄ ₂₈	0.143
Green Round (yyR–)	30	31	^(31-30)²⁄ ₃₁	0.032
Green Wrinkled (yyrr)	10	8	^(8-10)²⁄ ₈	0.500
(sum) χ² =				0.772

Table 2
Phenotype	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	93	^(93-90)²⁄ _93²	0.001
Yellow Wrinkled (Y–rr)	30	28	^(28-30)²⁄ _28²	0.005
Green Round (yyR–)	30	31	^(31-30)²⁄ _31²	0.001
Green Wrinkled (yyrr)	10	8	^(8-10)²⁄ _8²	0.062
(sum) χ² =				0.070

Table 3
Phenotype	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	93	^(93-90)²⁄ ₉₀	0.100
Yellow Wrinkled (Y–rr)	30	28	^(28-30)²⁄ ₃₀	0.133
Green Round (yyR–)	30	31	^(31-30)²⁄ ₃₀	0.033
Green Wrinkled (yyrr)	10	8	^(8-10)²⁄ ₁₀	0.400
(sum) χ² =				0.667

Before you ask your instructor for a new lab partner, tell them which table is correct AND whether they can reject or fail to reject the null hypothesis using the information provided.

Table 1 with χ² = 0.772 is correct and we REJECT the null hypothesis Incorrect Table 2 with χ² = 0.070 is correct and we REJECT the null hypothesis Incorrect Table 3 with χ² = 0.667 is correct and we REJECT the null hypothesis Incorrect Table 1 with χ² = 0.772 is correct and we FAIL to REJECT the null hypothesis Incorrect Table 2 with χ² = 0.070 is correct and we FAIL to REJECT the null hypothesis Incorrect Table 3 with χ² = 0.667 is correct and we FAIL to REJECT the null hypothesis Correct MC

f89a_5b9d

Table of Chi-Squared (χ²) Critical Values
Degrees of Freedom	Probability
Degrees of Freedom	0.95	0.90	0.75	0.50	0.25	0.10	0.05	0.01
1	0.00	0.02	0.10	0.45	1.32	2.71	3.84	6.63
2	0.10	0.21	0.58	1.39	2.77	4.61	5.99	9.21
3	0.35	0.58	1.21	2.37	4.11	6.25	7.81	11.34
4	0.71	1.06	1.92	3.36	5.39	7.78	9.49	13.28

Table 1
Phenotype	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	78	^(78-90)²⁄ _78²	0.024
Yellow Wrinkled (Y–rr)	30	17	^(17-30)²⁄ _17²	0.585
Green Round (yyR–)	30	46	^(46-30)²⁄ _46²	0.121
Green Wrinkled (yyrr)	10	19	^(19-10)²⁄ _19²	0.224
(sum) χ² =				0.954

Table 2
Phenotype	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	78	^(78-90)²⁄ ₇₈	1.846
Yellow Wrinkled (Y–rr)	30	17	^(17-30)²⁄ ₁₇	9.941
Green Round (yyR–)	30	46	^(46-30)²⁄ ₄₆	5.565
Green Wrinkled (yyrr)	10	19	^(19-10)²⁄ ₁₉	4.263
(sum) χ² =				21.616

Table 3
Phenotype	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	78	^(78-90)²⁄ ₉₀	1.600
Yellow Wrinkled (Y–rr)	30	17	^(17-30)²⁄ ₃₀	5.633
Green Round (yyR–)	30	46	^(46-30)²⁄ ₃₀	8.533
Green Wrinkled (yyrr)	10	19	^(19-10)²⁄ ₁₀	8.100
(sum) χ² =				23.867

Before you ask your instructor for a new lab partner, tell them which table is correct AND whether they can reject or fail to reject the null hypothesis using the information provided.

Table 1 with χ² = 0.954 is correct and we REJECT the null hypothesis Incorrect Table 2 with χ² = 21.616 is correct and we REJECT the null hypothesis Incorrect Table 3 with χ² = 23.867 is correct and we REJECT the null hypothesis Correct Table 1 with χ² = 0.954 is correct and we FAIL to REJECT the null hypothesis Incorrect Table 2 with χ² = 21.616 is correct and we FAIL to REJECT the null hypothesis Incorrect Table 3 with χ² = 23.867 is correct and we FAIL to REJECT the null hypothesis Incorrect MC

d01a_b2ac

Table of Chi-Squared (χ²) Critical Values
Degrees of Freedom	Probability
Degrees of Freedom	0.95	0.90	0.75	0.50	0.25	0.10	0.05	0.01
1	0.00	0.02	0.10	0.45	1.32	2.71	3.84	6.63
2	0.10	0.21	0.58	1.39	2.77	4.61	5.99	9.21
3	0.35	0.58	1.21	2.37	4.11	6.25	7.81	11.34
4	0.71	1.06	1.92	3.36	5.39	7.78	9.49	13.28

Table 1
Phenotype	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	83	^(83-90)²⁄ ₉₀	0.544
Yellow Wrinkled (Y–rr)	30	32	^(32-30)²⁄ ₃₀	0.133
Green Round (yyR–)	30	33	^(33-30)²⁄ ₃₀	0.300
Green Wrinkled (yyrr)	10	12	^(12-10)²⁄ ₁₀	0.400
(sum) χ² =				1.378

Table 2
Phenotype	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	83	^(83-90)²⁄ _83²	0.007
Yellow Wrinkled (Y–rr)	30	32	^(32-30)²⁄ _32²	0.004
Green Round (yyR–)	30	33	^(33-30)²⁄ _33²	0.008
Green Wrinkled (yyrr)	10	12	^(12-10)²⁄ _12²	0.028
(sum) χ² =				0.047

Table 3
Phenotype	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	83	^(83-90)⁄ ₉₀	-0.078
Yellow Wrinkled (Y–rr)	30	32	^(32-30)⁄ ₃₀	0.067
Green Round (yyR–)	30	33	^(33-30)⁄ ₃₀	0.100
Green Wrinkled (yyrr)	10	12	^(12-10)⁄ ₁₀	0.200
(sum) χ² =				0.289

Before you ask your instructor for a new lab partner, tell them which table is correct AND whether they can reject or fail to reject the null hypothesis using the information provided.

Table 1 with χ² = 1.378 is correct and we REJECT the null hypothesis Incorrect Table 2 with χ² = 0.047 is correct and we REJECT the null hypothesis Incorrect Table 3 with χ² = 0.289 is correct and we REJECT the null hypothesis Incorrect Table 1 with χ² = 1.378 is correct and we FAIL to REJECT the null hypothesis Correct Table 2 with χ² = 0.047 is correct and we FAIL to REJECT the null hypothesis Incorrect Table 3 with χ² = 0.289 is correct and we FAIL to REJECT the null hypothesis Incorrect MC

b6ad_9e83

Table of Chi-Squared (χ²) Critical Values
Degrees of Freedom	Probability
Degrees of Freedom	0.95	0.90	0.75	0.50	0.25	0.10	0.05	0.01
1	0.00	0.02	0.10	0.45	1.32	2.71	3.84	6.63
2	0.10	0.21	0.58	1.39	2.77	4.61	5.99	9.21
3	0.35	0.58	1.21	2.37	4.11	6.25	7.81	11.34
4	0.71	1.06	1.92	3.36	5.39	7.78	9.49	13.28

Table 1
Phenotype	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	86	^(86-90)²⁄ _86²	0.002
Yellow Wrinkled (Y–rr)	30	31	^(31-30)²⁄ _31²	0.001
Green Round (yyR–)	30	35	^(35-30)²⁄ _35²	0.020
Green Wrinkled (yyrr)	10	8	^(8-10)²⁄ _8²	0.062
(sum) χ² =				0.086

Table 2
Phenotype	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	86	^(86-90)²⁄ ₈₆	0.186
Yellow Wrinkled (Y–rr)	30	31	^(31-30)²⁄ ₃₁	0.032
Green Round (yyR–)	30	35	^(35-30)²⁄ ₃₅	0.714
Green Wrinkled (yyrr)	10	8	^(8-10)²⁄ ₈	0.500
(sum) χ² =				1.433

Table 3
Phenotype	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	86	^(86-90)²⁄ ₉₀	0.178
Yellow Wrinkled (Y–rr)	30	31	^(31-30)²⁄ ₃₀	0.033
Green Round (yyR–)	30	35	^(35-30)²⁄ ₃₀	0.833
Green Wrinkled (yyrr)	10	8	^(8-10)²⁄ ₁₀	0.400
(sum) χ² =				1.444

Before you ask your instructor for a new lab partner, tell them which table is correct AND whether they can reject or fail to reject the null hypothesis using the information provided.

Table 1 with χ² = 0.086 is correct and we REJECT the null hypothesis Incorrect Table 2 with χ² = 1.433 is correct and we REJECT the null hypothesis Incorrect Table 3 with χ² = 1.444 is correct and we REJECT the null hypothesis Incorrect Table 1 with χ² = 0.086 is correct and we FAIL to REJECT the null hypothesis Incorrect Table 2 with χ² = 1.433 is correct and we FAIL to REJECT the null hypothesis Incorrect Table 3 with χ² = 1.444 is correct and we FAIL to REJECT the null hypothesis Correct MC

50e7_0033

Table of Chi-Squared (χ²) Critical Values
Degrees of Freedom	Probability
Degrees of Freedom	0.95	0.90	0.75	0.50	0.25	0.10	0.05	0.01
1	0.00	0.02	0.10	0.45	1.32	2.71	3.84	6.63
2	0.10	0.21	0.58	1.39	2.77	4.61	5.99	9.21
3	0.35	0.58	1.21	2.37	4.11	6.25	7.81	11.34
4	0.71	1.06	1.92	3.36	5.39	7.78	9.49	13.28

Table 1
Phenotype	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	87	^(87-90)²⁄ ₉₀	0.100
Yellow Wrinkled (Y–rr)	30	39	^(39-30)²⁄ ₃₀	2.700
Green Round (yyR–)	30	30	^(30-30)²⁄ ₃₀	0.000
Green Wrinkled (yyrr)	10	4	^(4-10)²⁄ ₁₀	3.600
(sum) χ² =				6.400

Table 2
Phenotype	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	87	^(87-90)⁄ ₉₀	-0.033
Yellow Wrinkled (Y–rr)	30	39	^(39-30)⁄ ₃₀	0.300
Green Round (yyR–)	30	30	^(30-30)⁄ ₃₀	0.000
Green Wrinkled (yyrr)	10	4	^(4-10)⁄ ₁₀	-0.600
(sum) χ² =				-0.333

Table 3
Phenotype	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	87	^(87-90)²⁄ ₈₇	0.103
Yellow Wrinkled (Y–rr)	30	39	^(39-30)²⁄ ₃₉	2.077
Green Round (yyR–)	30	30	^(30-30)²⁄ ₃₀	0.000
Green Wrinkled (yyrr)	10	4	^(4-10)²⁄ ₄	9.000
(sum) χ² =				11.180

Before you ask your instructor for a new lab partner, tell them which table is correct AND whether they can reject or fail to reject the null hypothesis using the information provided.

Table 1 with χ² = 6.400 is correct and we REJECT the null hypothesis Incorrect Table 2 with χ² = -0.333 is correct and we REJECT the null hypothesis Incorrect Table 3 with χ² = 11.180 is correct and we REJECT the null hypothesis Incorrect Table 1 with χ² = 6.400 is correct and we FAIL to REJECT the null hypothesis Correct Table 2 with χ² = -0.333 is correct and we FAIL to REJECT the null hypothesis Incorrect Table 3 with χ² = 11.180 is correct and we FAIL to REJECT the null hypothesis Incorrect MC

0982_bddb

Table of Chi-Squared (χ²) Critical Values
Degrees of Freedom	Probability
Degrees of Freedom	0.95	0.90	0.75	0.50	0.25	0.10	0.05	0.01
1	0.00	0.02	0.10	0.45	1.32	2.71	3.84	6.63
2	0.10	0.21	0.58	1.39	2.77	4.61	5.99	9.21
3	0.35	0.58	1.21	2.37	4.11	6.25	7.81	11.34
4	0.71	1.06	1.92	3.36	5.39	7.78	9.49	13.28

Table 1
Phenotype	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	95	^(95-90)²⁄ ₉₅	0.263
Yellow Wrinkled (Y–rr)	30	25	^(25-30)²⁄ ₂₅	1.000
Green Round (yyR–)	30	27	^(27-30)²⁄ ₂₇	0.333
Green Wrinkled (yyrr)	10	13	^(13-10)²⁄ ₁₃	0.692
(sum) χ² =				2.289

Table 2
Phenotype	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	95	^(95-90)²⁄ _95²	0.003
Yellow Wrinkled (Y–rr)	30	25	^(25-30)²⁄ _25²	0.040
Green Round (yyR–)	30	27	^(27-30)²⁄ _27²	0.012
Green Wrinkled (yyrr)	10	13	^(13-10)²⁄ _13²	0.053
(sum) χ² =				0.108

Table 3
Phenotype	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	95	^(95-90)²⁄ ₉₀	0.278
Yellow Wrinkled (Y–rr)	30	25	^(25-30)²⁄ ₃₀	0.833
Green Round (yyR–)	30	27	^(27-30)²⁄ ₃₀	0.300
Green Wrinkled (yyrr)	10	13	^(13-10)²⁄ ₁₀	0.900
(sum) χ² =				2.311

Before you ask your instructor for a new lab partner, tell them which table is correct AND whether they can reject or fail to reject the null hypothesis using the information provided.

Table 1 with χ² = 2.289 is correct and we REJECT the null hypothesis Incorrect Table 2 with χ² = 0.108 is correct and we REJECT the null hypothesis Incorrect Table 3 with χ² = 2.311 is correct and we REJECT the null hypothesis Incorrect Table 1 with χ² = 2.289 is correct and we FAIL to REJECT the null hypothesis Incorrect Table 2 with χ² = 0.108 is correct and we FAIL to REJECT the null hypothesis Incorrect Table 3 with χ² = 2.311 is correct and we FAIL to REJECT the null hypothesis Correct MC

cb9e_50bd

Table of Chi-Squared (χ²) Critical Values
Degrees of Freedom	Probability
Degrees of Freedom	0.95	0.90	0.75	0.50	0.25	0.10	0.05	0.01
1	0.00	0.02	0.10	0.45	1.32	2.71	3.84	6.63
2	0.10	0.21	0.58	1.39	2.77	4.61	5.99	9.21
3	0.35	0.58	1.21	2.37	4.11	6.25	7.81	11.34
4	0.71	1.06	1.92	3.36	5.39	7.78	9.49	13.28

Table 1
Phenotype	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	94	^(94-90)²⁄ ₉₀	0.178
Yellow Wrinkled (Y–rr)	30	34	^(34-30)²⁄ ₃₀	0.533
Green Round (yyR–)	30	24	^(24-30)²⁄ ₃₀	1.200
Green Wrinkled (yyrr)	10	8	^(8-10)²⁄ ₁₀	0.400
(sum) χ² =				2.311

Table 2
Phenotype	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	94	^(94-90)²⁄ ₉₄	0.170
Yellow Wrinkled (Y–rr)	30	34	^(34-30)²⁄ ₃₄	0.471
Green Round (yyR–)	30	24	^(24-30)²⁄ ₂₄	1.500
Green Wrinkled (yyrr)	10	8	^(8-10)²⁄ ₈	0.500
(sum) χ² =				2.641

Table 3
Phenotype	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	94	^(94-90)²⁄ _94²	0.002
Yellow Wrinkled (Y–rr)	30	34	^(34-30)²⁄ _34²	0.014
Green Round (yyR–)	30	24	^(24-30)²⁄ _24²	0.062
Green Wrinkled (yyrr)	10	8	^(8-10)²⁄ _8²	0.062
(sum) χ² =				0.141

Before you ask your instructor for a new lab partner, tell them which table is correct AND whether they can reject or fail to reject the null hypothesis using the information provided.

Table 1 with χ² = 2.311 is correct and we REJECT the null hypothesis Incorrect Table 2 with χ² = 2.641 is correct and we REJECT the null hypothesis Incorrect Table 3 with χ² = 0.141 is correct and we REJECT the null hypothesis Incorrect Table 1 with χ² = 2.311 is correct and we FAIL to REJECT the null hypothesis Correct Table 2 with χ² = 2.641 is correct and we FAIL to REJECT the null hypothesis Incorrect Table 3 with χ² = 0.141 is correct and we FAIL to REJECT the null hypothesis Incorrect MC

9ef5_47aa

Table of Chi-Squared (χ²) Critical Values
Degrees of Freedom	Probability
Degrees of Freedom	0.95	0.90	0.75	0.50	0.25	0.10	0.05	0.01
1	0.00	0.02	0.10	0.45	1.32	2.71	3.84	6.63
2	0.10	0.21	0.58	1.39	2.77	4.61	5.99	9.21
3	0.35	0.58	1.21	2.37	4.11	6.25	7.81	11.34
4	0.71	1.06	1.92	3.36	5.39	7.78	9.49	13.28

Table 1
Phenotype	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	93	^(93-90)²⁄ ₉₃	0.097
Yellow Wrinkled (Y–rr)	30	34	^(34-30)²⁄ ₃₄	0.471
Green Round (yyR–)	30	27	^(27-30)²⁄ ₂₇	0.333
Green Wrinkled (yyrr)	10	6	^(6-10)²⁄ ₆	2.667
(sum) χ² =				3.567

Table 2
Phenotype	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	93	^(93-90)⁄ ₉₀	0.033
Yellow Wrinkled (Y–rr)	30	34	^(34-30)⁄ ₃₀	0.133
Green Round (yyR–)	30	27	^(27-30)⁄ ₃₀	-0.100
Green Wrinkled (yyrr)	10	6	^(6-10)⁄ ₁₀	-0.400
(sum) χ² =				-0.333

Table 3
Phenotype	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	93	^(93-90)²⁄ ₉₀	0.100
Yellow Wrinkled (Y–rr)	30	34	^(34-30)²⁄ ₃₀	0.533
Green Round (yyR–)	30	27	^(27-30)²⁄ ₃₀	0.300
Green Wrinkled (yyrr)	10	6	^(6-10)²⁄ ₁₀	1.600
(sum) χ² =				2.533

Before you ask your instructor for a new lab partner, tell them which table is correct AND whether they can reject or fail to reject the null hypothesis using the information provided.

Table 1 with χ² = 3.567 is correct and we REJECT the null hypothesis Incorrect Table 2 with χ² = -0.333 is correct and we REJECT the null hypothesis Incorrect Table 3 with χ² = 2.533 is correct and we REJECT the null hypothesis Incorrect Table 1 with χ² = 3.567 is correct and we FAIL to REJECT the null hypothesis Incorrect Table 2 with χ² = -0.333 is correct and we FAIL to REJECT the null hypothesis Incorrect Table 3 with χ² = 2.533 is correct and we FAIL to REJECT the null hypothesis Correct MC

67eb_8d11

Table of Chi-Squared (χ²) Critical Values
Degrees of Freedom	Probability
Degrees of Freedom	0.95	0.90	0.75	0.50	0.25	0.10	0.05	0.01
1	0.00	0.02	0.10	0.45	1.32	2.71	3.84	6.63
2	0.10	0.21	0.58	1.39	2.77	4.61	5.99	9.21
3	0.35	0.58	1.21	2.37	4.11	6.25	7.81	11.34
4	0.71	1.06	1.92	3.36	5.39	7.78	9.49	13.28

Table 1
Phenotype	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	87	^(87-90)⁄ ₉₀	-0.033
Yellow Wrinkled (Y–rr)	30	30	^(30-30)⁄ ₃₀	0.000
Green Round (yyR–)	30	31	^(31-30)⁄ ₃₀	0.033
Green Wrinkled (yyrr)	10	12	^(12-10)⁄ ₁₀	0.200
(sum) χ² =				0.200

Table 2
Phenotype	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	87	^(87-90)²⁄ ₉₀	0.100
Yellow Wrinkled (Y–rr)	30	30	^(30-30)²⁄ ₃₀	0.000
Green Round (yyR–)	30	31	^(31-30)²⁄ ₃₀	0.033
Green Wrinkled (yyrr)	10	12	^(12-10)²⁄ ₁₀	0.400
(sum) χ² =				0.533

Table 3
Phenotype	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	87	^(87-90)²⁄ ₈₇	0.103
Yellow Wrinkled (Y–rr)	30	30	^(30-30)²⁄ ₃₀	0.000
Green Round (yyR–)	30	31	^(31-30)²⁄ ₃₁	0.032
Green Wrinkled (yyrr)	10	12	^(12-10)²⁄ ₁₂	0.333
(sum) χ² =				0.469

Before you ask your instructor for a new lab partner, tell them which table is correct AND whether they can reject or fail to reject the null hypothesis using the information provided.

Table 1 with χ² = 0.200 is correct and we REJECT the null hypothesis Incorrect Table 2 with χ² = 0.533 is correct and we REJECT the null hypothesis Incorrect Table 3 with χ² = 0.469 is correct and we REJECT the null hypothesis Incorrect Table 1 with χ² = 0.200 is correct and we FAIL to REJECT the null hypothesis Incorrect Table 2 with χ² = 0.533 is correct and we FAIL to REJECT the null hypothesis Correct Table 3 with χ² = 0.469 is correct and we FAIL to REJECT the null hypothesis Incorrect MC

0aa5_a773

Table of Chi-Squared (χ²) Critical Values
Degrees of Freedom	Probability
Degrees of Freedom	0.95	0.90	0.75	0.50	0.25	0.10	0.05	0.01
1	0.00	0.02	0.10	0.45	1.32	2.71	3.84	6.63
2	0.10	0.21	0.58	1.39	2.77	4.61	5.99	9.21
3	0.35	0.58	1.21	2.37	4.11	6.25	7.81	11.34
4	0.71	1.06	1.92	3.36	5.39	7.78	9.49	13.28

Table 1
Phenotype	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	82	^(82-90)⁄ ₉₀	-0.089
Yellow Wrinkled (Y–rr)	30	15	^(15-30)⁄ ₃₀	-0.500
Green Round (yyR–)	30	49	^(49-30)⁄ ₃₀	0.633
Green Wrinkled (yyrr)	10	14	^(14-10)⁄ ₁₀	0.400
(sum) χ² =				0.444

Table 2
Phenotype	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	82	^(82-90)²⁄ ₉₀	0.711
Yellow Wrinkled (Y–rr)	30	15	^(15-30)²⁄ ₃₀	7.500
Green Round (yyR–)	30	49	^(49-30)²⁄ ₃₀	12.033
Green Wrinkled (yyrr)	10	14	^(14-10)²⁄ ₁₀	1.600
(sum) χ² =				21.844

Table 3
Phenotype	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	82	^(82-90)²⁄ ₈₂	0.780
Yellow Wrinkled (Y–rr)	30	15	^(15-30)²⁄ ₁₅	15.000
Green Round (yyR–)	30	49	^(49-30)²⁄ ₄₉	7.367
Green Wrinkled (yyrr)	10	14	^(14-10)²⁄ ₁₄	1.143
(sum) χ² =				24.291

Before you ask your instructor for a new lab partner, tell them which table is correct AND whether they can reject or fail to reject the null hypothesis using the information provided.

Table 1 with χ² = 0.444 is correct and we REJECT the null hypothesis Incorrect Table 2 with χ² = 21.844 is correct and we REJECT the null hypothesis Correct Table 3 with χ² = 24.291 is correct and we REJECT the null hypothesis Incorrect Table 1 with χ² = 0.444 is correct and we FAIL to REJECT the null hypothesis Incorrect Table 2 with χ² = 21.844 is correct and we FAIL to REJECT the null hypothesis Incorrect Table 3 with χ² = 24.291 is correct and we FAIL to REJECT the null hypothesis Incorrect MC

f375_90e7

Table of Chi-Squared (χ²) Critical Values
Degrees of Freedom	Probability
Degrees of Freedom	0.95	0.90	0.75	0.50	0.25	0.10	0.05	0.01
1	0.00	0.02	0.10	0.45	1.32	2.71	3.84	6.63
2	0.10	0.21	0.58	1.39	2.77	4.61	5.99	9.21
3	0.35	0.58	1.21	2.37	4.11	6.25	7.81	11.34
4	0.71	1.06	1.92	3.36	5.39	7.78	9.49	13.28

Table 1
Phenotype	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	80	^(80-90)²⁄ _80²	0.016
Yellow Wrinkled (Y–rr)	30	29	^(29-30)²⁄ _29²	0.001
Green Round (yyR–)	30	32	^(32-30)²⁄ _32²	0.004
Green Wrinkled (yyrr)	10	19	^(19-10)²⁄ _19²	0.224
(sum) χ² =				0.245

Table 2
Phenotype	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	80	^(80-90)²⁄ ₉₀	1.111
Yellow Wrinkled (Y–rr)	30	29	^(29-30)²⁄ ₃₀	0.033
Green Round (yyR–)	30	32	^(32-30)²⁄ ₃₀	0.133
Green Wrinkled (yyrr)	10	19	^(19-10)²⁄ ₁₀	8.100
(sum) χ² =				9.378

Table 3
Phenotype	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	80	^(80-90)²⁄ ₈₀	1.250
Yellow Wrinkled (Y–rr)	30	29	^(29-30)²⁄ ₂₉	0.034
Green Round (yyR–)	30	32	^(32-30)²⁄ ₃₂	0.125
Green Wrinkled (yyrr)	10	19	^(19-10)²⁄ ₁₉	4.263
(sum) χ² =				5.673

Before you ask your instructor for a new lab partner, tell them which table is correct AND whether they can reject or fail to reject the null hypothesis using the information provided.

Table 1 with χ² = 0.245 is correct and we REJECT the null hypothesis Incorrect Table 2 with χ² = 9.378 is correct and we REJECT the null hypothesis Correct Table 3 with χ² = 5.673 is correct and we REJECT the null hypothesis Incorrect Table 1 with χ² = 0.245 is correct and we FAIL to REJECT the null hypothesis Incorrect Table 2 with χ² = 9.378 is correct and we FAIL to REJECT the null hypothesis Incorrect Table 3 with χ² = 5.673 is correct and we FAIL to REJECT the null hypothesis Incorrect MC

cf90_4362

Table of Chi-Squared (χ²) Critical Values
Degrees of Freedom	Probability
Degrees of Freedom	0.95	0.90	0.75	0.50	0.25	0.10	0.05	0.01
1	0.00	0.02	0.10	0.45	1.32	2.71	3.84	6.63
2	0.10	0.21	0.58	1.39	2.77	4.61	5.99	9.21
3	0.35	0.58	1.21	2.37	4.11	6.25	7.81	11.34
4	0.71	1.06	1.92	3.36	5.39	7.78	9.49	13.28

Table 1
Phenotype	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	87	^(87-90)²⁄ _87²	0.001
Yellow Wrinkled (Y–rr)	30	30	^(30-30)²⁄ _30²	0.000
Green Round (yyR–)	30	35	^(35-30)²⁄ _35²	0.020
Green Wrinkled (yyrr)	10	8	^(8-10)²⁄ _8²	0.062
(sum) χ² =				0.084

Table 2
Phenotype	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	87	^(87-90)²⁄ ₈₇	0.103
Yellow Wrinkled (Y–rr)	30	30	^(30-30)²⁄ ₃₀	0.000
Green Round (yyR–)	30	35	^(35-30)²⁄ ₃₅	0.714
Green Wrinkled (yyrr)	10	8	^(8-10)²⁄ ₈	0.500
(sum) χ² =				1.318

Table 3
Phenotype	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	87	^(87-90)²⁄ ₉₀	0.100
Yellow Wrinkled (Y–rr)	30	30	^(30-30)²⁄ ₃₀	0.000
Green Round (yyR–)	30	35	^(35-30)²⁄ ₃₀	0.833
Green Wrinkled (yyrr)	10	8	^(8-10)²⁄ ₁₀	0.400
(sum) χ² =				1.333

Before you ask your instructor for a new lab partner, tell them which table is correct AND whether they can reject or fail to reject the null hypothesis using the information provided.

Table 1 with χ² = 0.084 is correct and we REJECT the null hypothesis Incorrect Table 2 with χ² = 1.318 is correct and we REJECT the null hypothesis Incorrect Table 3 with χ² = 1.333 is correct and we REJECT the null hypothesis Incorrect Table 1 with χ² = 0.084 is correct and we FAIL to REJECT the null hypothesis Incorrect Table 2 with χ² = 1.318 is correct and we FAIL to REJECT the null hypothesis Incorrect Table 3 with χ² = 1.333 is correct and we FAIL to REJECT the null hypothesis Correct MC

3f03_47f9

Table of Chi-Squared (χ²) Critical Values
Degrees of Freedom	Probability
Degrees of Freedom	0.95	0.90	0.75	0.50	0.25	0.10	0.05	0.01
1	0.00	0.02	0.10	0.45	1.32	2.71	3.84	6.63
2	0.10	0.21	0.58	1.39	2.77	4.61	5.99	9.21
3	0.35	0.58	1.21	2.37	4.11	6.25	7.81	11.34
4	0.71	1.06	1.92	3.36	5.39	7.78	9.49	13.28

Table 1
Phenotype	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	83	^(83-90)²⁄ _83²	0.007
Yellow Wrinkled (Y–rr)	30	18	^(18-30)²⁄ _18²	0.444
Green Round (yyR–)	30	41	^(41-30)²⁄ _41²	0.072
Green Wrinkled (yyrr)	10	18	^(18-10)²⁄ _18²	0.198
(sum) χ² =				0.721

Table 2
Phenotype	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	83	^(83-90)²⁄ ₈₃	0.590
Yellow Wrinkled (Y–rr)	30	18	^(18-30)²⁄ ₁₈	8.000
Green Round (yyR–)	30	41	^(41-30)²⁄ ₄₁	2.951
Green Wrinkled (yyrr)	10	18	^(18-10)²⁄ ₁₈	3.556
(sum) χ² =				15.097

Table 3
Phenotype	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	83	^(83-90)²⁄ ₉₀	0.544
Yellow Wrinkled (Y–rr)	30	18	^(18-30)²⁄ ₃₀	4.800
Green Round (yyR–)	30	41	^(41-30)²⁄ ₃₀	4.033
Green Wrinkled (yyrr)	10	18	^(18-10)²⁄ ₁₀	6.400
(sum) χ² =				15.778

Before you ask your instructor for a new lab partner, tell them which table is correct AND whether they can reject or fail to reject the null hypothesis using the information provided.

Table 1 with χ² = 0.721 is correct and we REJECT the null hypothesis Incorrect Table 2 with χ² = 15.097 is correct and we REJECT the null hypothesis Incorrect Table 3 with χ² = 15.778 is correct and we REJECT the null hypothesis Correct Table 1 with χ² = 0.721 is correct and we FAIL to REJECT the null hypothesis Incorrect Table 2 with χ² = 15.097 is correct and we FAIL to REJECT the null hypothesis Incorrect Table 3 with χ² = 15.778 is correct and we FAIL to REJECT the null hypothesis Incorrect MC

6b5e_cd67

Table of Chi-Squared (χ²) Critical Values
Degrees of Freedom	Probability
Degrees of Freedom	0.95	0.90	0.75	0.50	0.25	0.10	0.05	0.01
1	0.00	0.02	0.10	0.45	1.32	2.71	3.84	6.63
2	0.10	0.21	0.58	1.39	2.77	4.61	5.99	9.21
3	0.35	0.58	1.21	2.37	4.11	6.25	7.81	11.34
4	0.71	1.06	1.92	3.36	5.39	7.78	9.49	13.28

Table 1
Phenotype	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	77	^(77-90)⁄ ₉₀	-0.144
Yellow Wrinkled (Y–rr)	30	26	^(26-30)⁄ ₃₀	-0.133
Green Round (yyR–)	30	38	^(38-30)⁄ ₃₀	0.267
Green Wrinkled (yyrr)	10	19	^(19-10)⁄ ₁₀	0.900
(sum) χ² =				0.889

Table 2
Phenotype	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	77	^(77-90)²⁄ _77²	0.029
Yellow Wrinkled (Y–rr)	30	26	^(26-30)²⁄ _26²	0.024
Green Round (yyR–)	30	38	^(38-30)²⁄ _38²	0.044
Green Wrinkled (yyrr)	10	19	^(19-10)²⁄ _19²	0.224
(sum) χ² =				0.321

Table 3
Phenotype	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	77	^(77-90)²⁄ ₉₀	1.878
Yellow Wrinkled (Y–rr)	30	26	^(26-30)²⁄ ₃₀	0.533
Green Round (yyR–)	30	38	^(38-30)²⁄ ₃₀	2.133
Green Wrinkled (yyrr)	10	19	^(19-10)²⁄ ₁₀	8.100
(sum) χ² =				12.644

Before you ask your instructor for a new lab partner, tell them which table is correct AND whether they can reject or fail to reject the null hypothesis using the information provided.

Table 1 with χ² = 0.889 is correct and we REJECT the null hypothesis Incorrect Table 2 with χ² = 0.321 is correct and we REJECT the null hypothesis Incorrect Table 3 with χ² = 12.644 is correct and we REJECT the null hypothesis Correct Table 1 with χ² = 0.889 is correct and we FAIL to REJECT the null hypothesis Incorrect Table 2 with χ² = 0.321 is correct and we FAIL to REJECT the null hypothesis Incorrect Table 3 with χ² = 12.644 is correct and we FAIL to REJECT the null hypothesis Incorrect MC

96c8_5314

Table of Chi-Squared (χ²) Critical Values
Degrees of Freedom	Probability
Degrees of Freedom	0.95	0.90	0.75	0.50	0.25	0.10	0.05	0.01
1	0.00	0.02	0.10	0.45	1.32	2.71	3.84	6.63
2	0.10	0.21	0.58	1.39	2.77	4.61	5.99	9.21
3	0.35	0.58	1.21	2.37	4.11	6.25	7.81	11.34
4	0.71	1.06	1.92	3.36	5.39	7.78	9.49	13.28

Table 1
Phenotype	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	95	^(95-90)⁄ ₉₀	0.056
Yellow Wrinkled (Y–rr)	30	31	^(31-30)⁄ ₃₀	0.033
Green Round (yyR–)	30	28	^(28-30)⁄ ₃₀	-0.067
Green Wrinkled (yyrr)	10	6	^(6-10)⁄ ₁₀	-0.400
(sum) χ² =				-0.378

Table 2
Phenotype	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	95	^(95-90)²⁄ ₉₀	0.278
Yellow Wrinkled (Y–rr)	30	31	^(31-30)²⁄ ₃₀	0.033
Green Round (yyR–)	30	28	^(28-30)²⁄ ₃₀	0.133
Green Wrinkled (yyrr)	10	6	^(6-10)²⁄ ₁₀	1.600
(sum) χ² =				2.044

Table 3
Phenotype	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	95	^(95-90)²⁄ ₉₅	0.263
Yellow Wrinkled (Y–rr)	30	31	^(31-30)²⁄ ₃₁	0.032
Green Round (yyR–)	30	28	^(28-30)²⁄ ₂₈	0.143
Green Wrinkled (yyrr)	10	6	^(6-10)²⁄ ₆	2.667
(sum) χ² =				3.105

Before you ask your instructor for a new lab partner, tell them which table is correct AND whether they can reject or fail to reject the null hypothesis using the information provided.

Table 1 with χ² = -0.378 is correct and we REJECT the null hypothesis Incorrect Table 2 with χ² = 2.044 is correct and we REJECT the null hypothesis Incorrect Table 3 with χ² = 3.105 is correct and we REJECT the null hypothesis Incorrect Table 1 with χ² = -0.378 is correct and we FAIL to REJECT the null hypothesis Incorrect Table 2 with χ² = 2.044 is correct and we FAIL to REJECT the null hypothesis Correct Table 3 with χ² = 3.105 is correct and we FAIL to REJECT the null hypothesis Incorrect MC

e9c1_d080

Table of Chi-Squared (χ²) Critical Values
Degrees of Freedom	Probability
Degrees of Freedom	0.95	0.90	0.75	0.50	0.25	0.10	0.05	0.01
1	0.00	0.02	0.10	0.45	1.32	2.71	3.84	6.63
2	0.10	0.21	0.58	1.39	2.77	4.61	5.99	9.21
3	0.35	0.58	1.21	2.37	4.11	6.25	7.81	11.34
4	0.71	1.06	1.92	3.36	5.39	7.78	9.49	13.28

Table 1
Phenotype	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	98	^(98-90)⁄ ₉₀	0.089
Yellow Wrinkled (Y–rr)	30	20	^(20-30)⁄ ₃₀	-0.333
Green Round (yyR–)	30	30	^(30-30)⁄ ₃₀	0.000
Green Wrinkled (yyrr)	10	12	^(12-10)⁄ ₁₀	0.200
(sum) χ² =				-0.044

Table 2
Phenotype	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	98	^(98-90)²⁄ ₉₈	0.653
Yellow Wrinkled (Y–rr)	30	20	^(20-30)²⁄ ₂₀	5.000
Green Round (yyR–)	30	30	^(30-30)²⁄ ₃₀	0.000
Green Wrinkled (yyrr)	10	12	^(12-10)²⁄ ₁₂	0.333
(sum) χ² =				5.986

Table 3
Phenotype	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	98	^(98-90)²⁄ ₉₀	0.711
Yellow Wrinkled (Y–rr)	30	20	^(20-30)²⁄ ₃₀	3.333
Green Round (yyR–)	30	30	^(30-30)²⁄ ₃₀	0.000
Green Wrinkled (yyrr)	10	12	^(12-10)²⁄ ₁₀	0.400
(sum) χ² =				4.444

Before you ask your instructor for a new lab partner, tell them which table is correct AND whether they can reject or fail to reject the null hypothesis using the information provided.

Table 1 with χ² = -0.044 is correct and we REJECT the null hypothesis Incorrect Table 2 with χ² = 5.986 is correct and we REJECT the null hypothesis Incorrect Table 3 with χ² = 4.444 is correct and we REJECT the null hypothesis Incorrect Table 1 with χ² = -0.044 is correct and we FAIL to REJECT the null hypothesis Incorrect Table 2 with χ² = 5.986 is correct and we FAIL to REJECT the null hypothesis Incorrect Table 3 with χ² = 4.444 is correct and we FAIL to REJECT the null hypothesis Correct MC

73f2_90ca

Table of Chi-Squared (χ²) Critical Values
Degrees of Freedom	Probability
Degrees of Freedom	0.95	0.90	0.75	0.50	0.25	0.10	0.05	0.01
1	0.00	0.02	0.10	0.45	1.32	2.71	3.84	6.63
2	0.10	0.21	0.58	1.39	2.77	4.61	5.99	9.21
3	0.35	0.58	1.21	2.37	4.11	6.25	7.81	11.34
4	0.71	1.06	1.92	3.36	5.39	7.78	9.49	13.28

Table 1
Phenotype	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	76	^(76-90)²⁄ ₇₆	2.579
Yellow Wrinkled (Y–rr)	30	30	^(30-30)²⁄ ₃₀	0.000
Green Round (yyR–)	30	35	^(35-30)²⁄ ₃₅	0.714
Green Wrinkled (yyrr)	10	19	^(19-10)²⁄ ₁₉	4.263
(sum) χ² =				7.556

Table 2
Phenotype	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	76	^(76-90)²⁄ ₉₀	2.178
Yellow Wrinkled (Y–rr)	30	30	^(30-30)²⁄ ₃₀	0.000
Green Round (yyR–)	30	35	^(35-30)²⁄ ₃₀	0.833
Green Wrinkled (yyrr)	10	19	^(19-10)²⁄ ₁₀	8.100
(sum) χ² =				11.111

Table 3
Phenotype	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	76	^(76-90)⁄ ₉₀	-0.156
Yellow Wrinkled (Y–rr)	30	30	^(30-30)⁄ ₃₀	0.000
Green Round (yyR–)	30	35	^(35-30)⁄ ₃₀	0.167
Green Wrinkled (yyrr)	10	19	^(19-10)⁄ ₁₀	0.900
(sum) χ² =				0.911

Before you ask your instructor for a new lab partner, tell them which table is correct AND whether they can reject or fail to reject the null hypothesis using the information provided.

Table 1 with χ² = 7.556 is correct and we REJECT the null hypothesis Incorrect Table 2 with χ² = 11.111 is correct and we REJECT the null hypothesis Correct Table 3 with χ² = 0.911 is correct and we REJECT the null hypothesis Incorrect Table 1 with χ² = 7.556 is correct and we FAIL to REJECT the null hypothesis Incorrect Table 2 with χ² = 11.111 is correct and we FAIL to REJECT the null hypothesis Incorrect Table 3 with χ² = 0.911 is correct and we FAIL to REJECT the null hypothesis Incorrect MC

0793_b418

Table of Chi-Squared (χ²) Critical Values
Degrees of Freedom	Probability
Degrees of Freedom	0.95	0.90	0.75	0.50	0.25	0.10	0.05	0.01
1	0.00	0.02	0.10	0.45	1.32	2.71	3.84	6.63
2	0.10	0.21	0.58	1.39	2.77	4.61	5.99	9.21
3	0.35	0.58	1.21	2.37	4.11	6.25	7.81	11.34
4	0.71	1.06	1.92	3.36	5.39	7.78	9.49	13.28

Table 1
Phenotype	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	84	^(84-90)⁄ ₉₀	-0.067
Yellow Wrinkled (Y–rr)	30	20	^(20-30)⁄ ₃₀	-0.333
Green Round (yyR–)	30	38	^(38-30)⁄ ₃₀	0.267
Green Wrinkled (yyrr)	10	18	^(18-10)⁄ ₁₀	0.800
(sum) χ² =				0.667

Table 2
Phenotype	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	84	^(84-90)²⁄ ₉₀	0.400
Yellow Wrinkled (Y–rr)	30	20	^(20-30)²⁄ ₃₀	3.333
Green Round (yyR–)	30	38	^(38-30)²⁄ ₃₀	2.133
Green Wrinkled (yyrr)	10	18	^(18-10)²⁄ ₁₀	6.400
(sum) χ² =				12.267

Table 3
Phenotype	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	84	^(84-90)²⁄ ₈₄	0.429
Yellow Wrinkled (Y–rr)	30	20	^(20-30)²⁄ ₂₀	5.000
Green Round (yyR–)	30	38	^(38-30)²⁄ ₃₈	1.684
Green Wrinkled (yyrr)	10	18	^(18-10)²⁄ ₁₈	3.556
(sum) χ² =				10.668

Before you ask your instructor for a new lab partner, tell them which table is correct AND whether they can reject or fail to reject the null hypothesis using the information provided.

Table 1 with χ² = 0.667 is correct and we REJECT the null hypothesis Incorrect Table 2 with χ² = 12.267 is correct and we REJECT the null hypothesis Correct Table 3 with χ² = 10.668 is correct and we REJECT the null hypothesis Incorrect Table 1 with χ² = 0.667 is correct and we FAIL to REJECT the null hypothesis Incorrect Table 2 with χ² = 12.267 is correct and we FAIL to REJECT the null hypothesis Incorrect Table 3 with χ² = 10.668 is correct and we FAIL to REJECT the null hypothesis Incorrect MC

97f9_c220

Table of Chi-Squared (χ²) Critical Values
Degrees of Freedom	Probability
Degrees of Freedom	0.95	0.90	0.75	0.50	0.25	0.10	0.05	0.01
1	0.00	0.02	0.10	0.45	1.32	2.71	3.84	6.63
2	0.10	0.21	0.58	1.39	2.77	4.61	5.99	9.21
3	0.35	0.58	1.21	2.37	4.11	6.25	7.81	11.34
4	0.71	1.06	1.92	3.36	5.39	7.78	9.49	13.28

Table 1
Phenotype	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	87	^(87-90)²⁄ _87²	0.001
Yellow Wrinkled (Y–rr)	30	34	^(34-30)²⁄ _34²	0.014
Green Round (yyR–)	30	31	^(31-30)²⁄ _31²	0.001
Green Wrinkled (yyrr)	10	8	^(8-10)²⁄ _8²	0.062
(sum) χ² =				0.079

Table 2
Phenotype	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	87	^(87-90)²⁄ ₉₀	0.100
Yellow Wrinkled (Y–rr)	30	34	^(34-30)²⁄ ₃₀	0.533
Green Round (yyR–)	30	31	^(31-30)²⁄ ₃₀	0.033
Green Wrinkled (yyrr)	10	8	^(8-10)²⁄ ₁₀	0.400
(sum) χ² =				1.067

Table 3
Phenotype	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	87	^(87-90)²⁄ ₈₇	0.103
Yellow Wrinkled (Y–rr)	30	34	^(34-30)²⁄ ₃₄	0.471
Green Round (yyR–)	30	31	^(31-30)²⁄ ₃₁	0.032
Green Wrinkled (yyrr)	10	8	^(8-10)²⁄ ₈	0.500
(sum) χ² =				1.106

Before you ask your instructor for a new lab partner, tell them which table is correct AND whether they can reject or fail to reject the null hypothesis using the information provided.

Table 1 with χ² = 0.079 is correct and we REJECT the null hypothesis Incorrect Table 2 with χ² = 1.067 is correct and we REJECT the null hypothesis Incorrect Table 3 with χ² = 1.106 is correct and we REJECT the null hypothesis Incorrect Table 1 with χ² = 0.079 is correct and we FAIL to REJECT the null hypothesis Incorrect Table 2 with χ² = 1.067 is correct and we FAIL to REJECT the null hypothesis Correct Table 3 with χ² = 1.106 is correct and we FAIL to REJECT the null hypothesis Incorrect MC

bef9_2e21

Table of Chi-Squared (χ²) Critical Values
Degrees of Freedom	Probability
Degrees of Freedom	0.95	0.90	0.75	0.50	0.25	0.10	0.05	0.01
1	0.00	0.02	0.10	0.45	1.32	2.71	3.84	6.63
2	0.10	0.21	0.58	1.39	2.77	4.61	5.99	9.21
3	0.35	0.58	1.21	2.37	4.11	6.25	7.81	11.34
4	0.71	1.06	1.92	3.36	5.39	7.78	9.49	13.28

Table 1
Phenotype	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	76	^(76-90)²⁄ ₉₀	2.178
Yellow Wrinkled (Y–rr)	30	16	^(16-30)²⁄ ₃₀	6.533
Green Round (yyR–)	30	49	^(49-30)²⁄ ₃₀	12.033
Green Wrinkled (yyrr)	10	19	^(19-10)²⁄ ₁₀	8.100
(sum) χ² =				28.844

Table 2
Phenotype	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	76	^(76-90)⁄ ₉₀	-0.156
Yellow Wrinkled (Y–rr)	30	16	^(16-30)⁄ ₃₀	-0.467
Green Round (yyR–)	30	49	^(49-30)⁄ ₃₀	0.633
Green Wrinkled (yyrr)	10	19	^(19-10)⁄ ₁₀	0.900
(sum) χ² =				0.911

Table 3
Phenotype	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	76	^(76-90)²⁄ ₇₆	2.579
Yellow Wrinkled (Y–rr)	30	16	^(16-30)²⁄ ₁₆	12.250
Green Round (yyR–)	30	49	^(49-30)²⁄ ₄₉	7.367
Green Wrinkled (yyrr)	10	19	^(19-10)²⁄ ₁₉	4.263
(sum) χ² =				26.459

Before you ask your instructor for a new lab partner, tell them which table is correct AND whether they can reject or fail to reject the null hypothesis using the information provided.

Table 1 with χ² = 28.844 is correct and we REJECT the null hypothesis Correct Table 2 with χ² = 0.911 is correct and we REJECT the null hypothesis Incorrect Table 3 with χ² = 26.459 is correct and we REJECT the null hypothesis Incorrect Table 1 with χ² = 28.844 is correct and we FAIL to REJECT the null hypothesis Incorrect Table 2 with χ² = 0.911 is correct and we FAIL to REJECT the null hypothesis Incorrect Table 3 with χ² = 26.459 is correct and we FAIL to REJECT the null hypothesis Incorrect MC

a3bb_a959

Table of Chi-Squared (χ²) Critical Values
Degrees of Freedom	Probability
Degrees of Freedom	0.95	0.90	0.75	0.50	0.25	0.10	0.05	0.01
1	0.00	0.02	0.10	0.45	1.32	2.71	3.84	6.63
2	0.10	0.21	0.58	1.39	2.77	4.61	5.99	9.21
3	0.35	0.58	1.21	2.37	4.11	6.25	7.81	11.34
4	0.71	1.06	1.92	3.36	5.39	7.78	9.49	13.28

Table 1
Phenotype	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	82	^(82-90)²⁄ ₉₀	0.711
Yellow Wrinkled (Y–rr)	30	18	^(18-30)²⁄ ₃₀	4.800
Green Round (yyR–)	30	41	^(41-30)²⁄ ₃₀	4.033
Green Wrinkled (yyrr)	10	19	^(19-10)²⁄ ₁₀	8.100
(sum) χ² =				17.644

Table 2
Phenotype	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	82	^(82-90)²⁄ ₈₂	0.780
Yellow Wrinkled (Y–rr)	30	18	^(18-30)²⁄ ₁₈	8.000
Green Round (yyR–)	30	41	^(41-30)²⁄ ₄₁	2.951
Green Wrinkled (yyrr)	10	19	^(19-10)²⁄ ₁₉	4.263
(sum) χ² =				15.995

Table 3
Phenotype	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	82	^(82-90)⁄ ₉₀	-0.089
Yellow Wrinkled (Y–rr)	30	18	^(18-30)⁄ ₃₀	-0.400
Green Round (yyR–)	30	41	^(41-30)⁄ ₃₀	0.367
Green Wrinkled (yyrr)	10	19	^(19-10)⁄ ₁₀	0.900
(sum) χ² =				0.778

Before you ask your instructor for a new lab partner, tell them which table is correct AND whether they can reject or fail to reject the null hypothesis using the information provided.

Table 1 with χ² = 17.644 is correct and we REJECT the null hypothesis Correct Table 2 with χ² = 15.995 is correct and we REJECT the null hypothesis Incorrect Table 3 with χ² = 0.778 is correct and we REJECT the null hypothesis Incorrect Table 1 with χ² = 17.644 is correct and we FAIL to REJECT the null hypothesis Incorrect Table 2 with χ² = 15.995 is correct and we FAIL to REJECT the null hypothesis Incorrect Table 3 with χ² = 0.778 is correct and we FAIL to REJECT the null hypothesis Incorrect MC

441b_72f3

Table of Chi-Squared (χ²) Critical Values
Degrees of Freedom	Probability
Degrees of Freedom	0.95	0.90	0.75	0.50	0.25	0.10	0.05	0.01
1	0.00	0.02	0.10	0.45	1.32	2.71	3.84	6.63
2	0.10	0.21	0.58	1.39	2.77	4.61	5.99	9.21
3	0.35	0.58	1.21	2.37	4.11	6.25	7.81	11.34
4	0.71	1.06	1.92	3.36	5.39	7.78	9.49	13.28

Table 1
Phenotype	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	79	^(79-90)⁄ ₉₀	-0.122
Yellow Wrinkled (Y–rr)	30	23	^(23-30)⁄ ₃₀	-0.233
Green Round (yyR–)	30	41	^(41-30)⁄ ₃₀	0.367
Green Wrinkled (yyrr)	10	17	^(17-10)⁄ ₁₀	0.700
(sum) χ² =				0.711

Table 2
Phenotype	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	79	^(79-90)²⁄ _79²	0.019
Yellow Wrinkled (Y–rr)	30	23	^(23-30)²⁄ _23²	0.093
Green Round (yyR–)	30	41	^(41-30)²⁄ _41²	0.072
Green Wrinkled (yyrr)	10	17	^(17-10)²⁄ _17²	0.170
(sum) χ² =				0.354

Table 3
Phenotype	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	79	^(79-90)²⁄ ₉₀	1.344
Yellow Wrinkled (Y–rr)	30	23	^(23-30)²⁄ ₃₀	1.633
Green Round (yyR–)	30	41	^(41-30)²⁄ ₃₀	4.033
Green Wrinkled (yyrr)	10	17	^(17-10)²⁄ ₁₀	4.900
(sum) χ² =				11.911

Before you ask your instructor for a new lab partner, tell them which table is correct AND whether they can reject or fail to reject the null hypothesis using the information provided.

Table 1 with χ² = 0.711 is correct and we REJECT the null hypothesis Incorrect Table 2 with χ² = 0.354 is correct and we REJECT the null hypothesis Incorrect Table 3 with χ² = 11.911 is correct and we REJECT the null hypothesis Correct Table 1 with χ² = 0.711 is correct and we FAIL to REJECT the null hypothesis Incorrect Table 2 with χ² = 0.354 is correct and we FAIL to REJECT the null hypothesis Incorrect Table 3 with χ² = 11.911 is correct and we FAIL to REJECT the null hypothesis Incorrect MC

3f0b_8f76

Table of Chi-Squared (χ²) Critical Values
Degrees of Freedom	Probability
Degrees of Freedom	0.95	0.90	0.75	0.50	0.25	0.10	0.05	0.01
1	0.00	0.02	0.10	0.45	1.32	2.71	3.84	6.63
2	0.10	0.21	0.58	1.39	2.77	4.61	5.99	9.21
3	0.35	0.58	1.21	2.37	4.11	6.25	7.81	11.34
4	0.71	1.06	1.92	3.36	5.39	7.78	9.49	13.28

Table 1
Phenotype	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	84	^(84-90)²⁄ _84²	0.005
Yellow Wrinkled (Y–rr)	30	22	^(22-30)²⁄ _22²	0.132
Green Round (yyR–)	30	39	^(39-30)²⁄ _39²	0.053
Green Wrinkled (yyrr)	10	15	^(15-10)²⁄ _15²	0.111
(sum) χ² =				0.302

Table 2
Phenotype	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	84	^(84-90)²⁄ ₈₄	0.429
Yellow Wrinkled (Y–rr)	30	22	^(22-30)²⁄ ₂₂	2.909
Green Round (yyR–)	30	39	^(39-30)²⁄ ₃₉	2.077
Green Wrinkled (yyrr)	10	15	^(15-10)²⁄ ₁₅	1.667
(sum) χ² =				7.081

Table 3
Phenotype	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	84	^(84-90)²⁄ ₉₀	0.400
Yellow Wrinkled (Y–rr)	30	22	^(22-30)²⁄ ₃₀	2.133
Green Round (yyR–)	30	39	^(39-30)²⁄ ₃₀	2.700
Green Wrinkled (yyrr)	10	15	^(15-10)²⁄ ₁₀	2.500
(sum) χ² =				7.733

Before you ask your instructor for a new lab partner, tell them which table is correct AND whether they can reject or fail to reject the null hypothesis using the information provided.

Table 1 with χ² = 0.302 is correct and we REJECT the null hypothesis Incorrect Table 2 with χ² = 7.081 is correct and we REJECT the null hypothesis Incorrect Table 3 with χ² = 7.733 is correct and we REJECT the null hypothesis Incorrect Table 1 with χ² = 0.302 is correct and we FAIL to REJECT the null hypothesis Incorrect Table 2 with χ² = 7.081 is correct and we FAIL to REJECT the null hypothesis Incorrect Table 3 with χ² = 7.733 is correct and we FAIL to REJECT the null hypothesis Correct MC

caf2_2d7b

Table of Chi-Squared (χ²) Critical Values
Degrees of Freedom	Probability
Degrees of Freedom	0.95	0.90	0.75	0.50	0.25	0.10	0.05	0.01
1	0.00	0.02	0.10	0.45	1.32	2.71	3.84	6.63
2	0.10	0.21	0.58	1.39	2.77	4.61	5.99	9.21
3	0.35	0.58	1.21	2.37	4.11	6.25	7.81	11.34
4	0.71	1.06	1.92	3.36	5.39	7.78	9.49	13.28

Table 1
Phenotype	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	79	^(79-90)²⁄ ₉₀	1.344
Yellow Wrinkled (Y–rr)	30	15	^(15-30)²⁄ ₃₀	7.500
Green Round (yyR–)	30	48	^(48-30)²⁄ ₃₀	10.800
Green Wrinkled (yyrr)	10	18	^(18-10)²⁄ ₁₀	6.400
(sum) χ² =				26.044

Table 2
Phenotype	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	79	^(79-90)⁄ ₉₀	-0.122
Yellow Wrinkled (Y–rr)	30	15	^(15-30)⁄ ₃₀	-0.500
Green Round (yyR–)	30	48	^(48-30)⁄ ₃₀	0.600
Green Wrinkled (yyrr)	10	18	^(18-10)⁄ ₁₀	0.800
(sum) χ² =				0.778

Table 3
Phenotype	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	79	^(79-90)²⁄ ₇₉	1.532
Yellow Wrinkled (Y–rr)	30	15	^(15-30)²⁄ ₁₅	15.000
Green Round (yyR–)	30	48	^(48-30)²⁄ ₄₈	6.750
Green Wrinkled (yyrr)	10	18	^(18-10)²⁄ ₁₈	3.556
(sum) χ² =				26.837

Before you ask your instructor for a new lab partner, tell them which table is correct AND whether they can reject or fail to reject the null hypothesis using the information provided.

Table 1 with χ² = 26.044 is correct and we REJECT the null hypothesis Correct Table 2 with χ² = 0.778 is correct and we REJECT the null hypothesis Incorrect Table 3 with χ² = 26.837 is correct and we REJECT the null hypothesis Incorrect Table 1 with χ² = 26.044 is correct and we FAIL to REJECT the null hypothesis Incorrect Table 2 with χ² = 0.778 is correct and we FAIL to REJECT the null hypothesis Incorrect Table 3 with χ² = 26.837 is correct and we FAIL to REJECT the null hypothesis Incorrect MC

53d9_b824

Table of Chi-Squared (χ²) Critical Values
Degrees of Freedom	Probability
Degrees of Freedom	0.95	0.90	0.75	0.50	0.25	0.10	0.05	0.01
1	0.00	0.02	0.10	0.45	1.32	2.71	3.84	6.63
2	0.10	0.21	0.58	1.39	2.77	4.61	5.99	9.21
3	0.35	0.58	1.21	2.37	4.11	6.25	7.81	11.34
4	0.71	1.06	1.92	3.36	5.39	7.78	9.49	13.28

Table 1
Phenotype	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	86	^(86-90)²⁄ _86²	0.002
Yellow Wrinkled (Y–rr)	30	25	^(25-30)²⁄ _25²	0.040
Green Round (yyR–)	30	35	^(35-30)²⁄ _35²	0.020
Green Wrinkled (yyrr)	10	14	^(14-10)²⁄ _14²	0.082
(sum) χ² =				0.144

Table 2
Phenotype	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	86	^(86-90)²⁄ ₉₀	0.178
Yellow Wrinkled (Y–rr)	30	25	^(25-30)²⁄ ₃₀	0.833
Green Round (yyR–)	30	35	^(35-30)²⁄ ₃₀	0.833
Green Wrinkled (yyrr)	10	14	^(14-10)²⁄ ₁₀	1.600
(sum) χ² =				3.444

Table 3
Phenotype	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	86	^(86-90)²⁄ ₈₆	0.186
Yellow Wrinkled (Y–rr)	30	25	^(25-30)²⁄ ₂₅	1.000
Green Round (yyR–)	30	35	^(35-30)²⁄ ₃₅	0.714
Green Wrinkled (yyrr)	10	14	^(14-10)²⁄ ₁₄	1.143
(sum) χ² =				3.043

Before you ask your instructor for a new lab partner, tell them which table is correct AND whether they can reject or fail to reject the null hypothesis using the information provided.

Table 1 with χ² = 0.144 is correct and we REJECT the null hypothesis Incorrect Table 2 with χ² = 3.444 is correct and we REJECT the null hypothesis Incorrect Table 3 with χ² = 3.043 is correct and we REJECT the null hypothesis Incorrect Table 1 with χ² = 0.144 is correct and we FAIL to REJECT the null hypothesis Incorrect Table 2 with χ² = 3.444 is correct and we FAIL to REJECT the null hypothesis Correct Table 3 with χ² = 3.043 is correct and we FAIL to REJECT the null hypothesis Incorrect MC

9c0c_8b09

Table of Chi-Squared (χ²) Critical Values
Degrees of Freedom	Probability
Degrees of Freedom	0.95	0.90	0.75	0.50	0.25	0.10	0.05	0.01
1	0.00	0.02	0.10	0.45	1.32	2.71	3.84	6.63
2	0.10	0.21	0.58	1.39	2.77	4.61	5.99	9.21
3	0.35	0.58	1.21	2.37	4.11	6.25	7.81	11.34
4	0.71	1.06	1.92	3.36	5.39	7.78	9.49	13.28

Table 1
Phenotype	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	84	^(84-90)²⁄ ₉₀	0.400
Yellow Wrinkled (Y–rr)	30	33	^(33-30)²⁄ ₃₀	0.300
Green Round (yyR–)	30	35	^(35-30)²⁄ ₃₀	0.833
Green Wrinkled (yyrr)	10	8	^(8-10)²⁄ ₁₀	0.400
(sum) χ² =				1.933

Table 2
Phenotype	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	84	^(84-90)²⁄ _84²	0.005
Yellow Wrinkled (Y–rr)	30	33	^(33-30)²⁄ _33²	0.008
Green Round (yyR–)	30	35	^(35-30)²⁄ _35²	0.020
Green Wrinkled (yyrr)	10	8	^(8-10)²⁄ _8²	0.062
(sum) χ² =				0.096

Table 3
Phenotype	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	84	^(84-90)⁄ ₉₀	-0.067
Yellow Wrinkled (Y–rr)	30	33	^(33-30)⁄ ₃₀	0.100
Green Round (yyR–)	30	35	^(35-30)⁄ ₃₀	0.167
Green Wrinkled (yyrr)	10	8	^(8-10)⁄ ₁₀	-0.200
(sum) χ² =				0.000

Before you ask your instructor for a new lab partner, tell them which table is correct AND whether they can reject or fail to reject the null hypothesis using the information provided.

Table 1 with χ² = 1.933 is correct and we REJECT the null hypothesis Incorrect Table 2 with χ² = 0.096 is correct and we REJECT the null hypothesis Incorrect Table 3 with χ² = 0.000 is correct and we REJECT the null hypothesis Incorrect Table 1 with χ² = 1.933 is correct and we FAIL to REJECT the null hypothesis Correct Table 2 with χ² = 0.096 is correct and we FAIL to REJECT the null hypothesis Incorrect Table 3 with χ² = 0.000 is correct and we FAIL to REJECT the null hypothesis Incorrect MC

557b_b05b

Table of Chi-Squared (χ²) Critical Values
Degrees of Freedom	Probability
Degrees of Freedom	0.95	0.90	0.75	0.50	0.25	0.10	0.05	0.01
1	0.00	0.02	0.10	0.45	1.32	2.71	3.84	6.63
2	0.10	0.21	0.58	1.39	2.77	4.61	5.99	9.21
3	0.35	0.58	1.21	2.37	4.11	6.25	7.81	11.34
4	0.71	1.06	1.92	3.36	5.39	7.78	9.49	13.28

Table 1
Phenotype	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	73	^(73-90)⁄ ₉₀	-0.189
Yellow Wrinkled (Y–rr)	30	22	^(22-30)⁄ ₃₀	-0.267
Green Round (yyR–)	30	46	^(46-30)⁄ ₃₀	0.533
Green Wrinkled (yyrr)	10	19	^(19-10)⁄ ₁₀	0.900
(sum) χ² =				0.978

Table 2
Phenotype	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	73	^(73-90)²⁄ ₉₀	3.211
Yellow Wrinkled (Y–rr)	30	22	^(22-30)²⁄ ₃₀	2.133
Green Round (yyR–)	30	46	^(46-30)²⁄ ₃₀	8.533
Green Wrinkled (yyrr)	10	19	^(19-10)²⁄ ₁₀	8.100
(sum) χ² =				21.978

Table 3
Phenotype	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	73	^(73-90)²⁄ ₇₃	3.959
Yellow Wrinkled (Y–rr)	30	22	^(22-30)²⁄ ₂₂	2.909
Green Round (yyR–)	30	46	^(46-30)²⁄ ₄₆	5.565
Green Wrinkled (yyrr)	10	19	^(19-10)²⁄ ₁₉	4.263
(sum) χ² =				16.696

Before you ask your instructor for a new lab partner, tell them which table is correct AND whether they can reject or fail to reject the null hypothesis using the information provided.

Table 1 with χ² = 0.978 is correct and we REJECT the null hypothesis Incorrect Table 2 with χ² = 21.978 is correct and we REJECT the null hypothesis Correct Table 3 with χ² = 16.696 is correct and we REJECT the null hypothesis Incorrect Table 1 with χ² = 0.978 is correct and we FAIL to REJECT the null hypothesis Incorrect Table 2 with χ² = 21.978 is correct and we FAIL to REJECT the null hypothesis Incorrect Table 3 with χ² = 16.696 is correct and we FAIL to REJECT the null hypothesis Incorrect MC

92c3_1ba9

Table of Chi-Squared (χ²) Critical Values
Degrees of Freedom	Probability
Degrees of Freedom	0.95	0.90	0.75	0.50	0.25	0.10	0.05	0.01
1	0.00	0.02	0.10	0.45	1.32	2.71	3.84	6.63
2	0.10	0.21	0.58	1.39	2.77	4.61	5.99	9.21
3	0.35	0.58	1.21	2.37	4.11	6.25	7.81	11.34
4	0.71	1.06	1.92	3.36	5.39	7.78	9.49	13.28

Table 1
Phenotype	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	86	^(86-90)⁄ ₉₀	-0.044
Yellow Wrinkled (Y–rr)	30	37	^(37-30)⁄ ₃₀	0.233
Green Round (yyR–)	30	31	^(31-30)⁄ ₃₀	0.033
Green Wrinkled (yyrr)	10	6	^(6-10)⁄ ₁₀	-0.400
(sum) χ² =				-0.178

Table 2
Phenotype	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	86	^(86-90)²⁄ ₉₀	0.178
Yellow Wrinkled (Y–rr)	30	37	^(37-30)²⁄ ₃₀	1.633
Green Round (yyR–)	30	31	^(31-30)²⁄ ₃₀	0.033
Green Wrinkled (yyrr)	10	6	^(6-10)²⁄ ₁₀	1.600
(sum) χ² =				3.444

Table 3
Phenotype	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	86	^(86-90)²⁄ ₈₆	0.186
Yellow Wrinkled (Y–rr)	30	37	^(37-30)²⁄ ₃₇	1.324
Green Round (yyR–)	30	31	^(31-30)²⁄ ₃₁	0.032
Green Wrinkled (yyrr)	10	6	^(6-10)²⁄ ₆	2.667
(sum) χ² =				4.209

Before you ask your instructor for a new lab partner, tell them which table is correct AND whether they can reject or fail to reject the null hypothesis using the information provided.

Table 1 with χ² = -0.178 is correct and we REJECT the null hypothesis Incorrect Table 2 with χ² = 3.444 is correct and we REJECT the null hypothesis Incorrect Table 3 with χ² = 4.209 is correct and we REJECT the null hypothesis Incorrect Table 1 with χ² = -0.178 is correct and we FAIL to REJECT the null hypothesis Incorrect Table 2 with χ² = 3.444 is correct and we FAIL to REJECT the null hypothesis Correct Table 3 with χ² = 4.209 is correct and we FAIL to REJECT the null hypothesis Incorrect MC

d0bd_c6b8

Table of Chi-Squared (χ²) Critical Values
Degrees of Freedom	Probability
Degrees of Freedom	0.95	0.90	0.75	0.50	0.25	0.10	0.05	0.01
1	0.00	0.02	0.10	0.45	1.32	2.71	3.84	6.63
2	0.10	0.21	0.58	1.39	2.77	4.61	5.99	9.21
3	0.35	0.58	1.21	2.37	4.11	6.25	7.81	11.34
4	0.71	1.06	1.92	3.36	5.39	7.78	9.49	13.28

Table 1
Phenotype	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	84	^(84-90)²⁄ ₉₀	0.400
Yellow Wrinkled (Y–rr)	30	21	^(21-30)²⁄ ₃₀	2.700
Green Round (yyR–)	30	43	^(43-30)²⁄ ₃₀	5.633
Green Wrinkled (yyrr)	10	12	^(12-10)²⁄ ₁₀	0.400
(sum) χ² =				9.133

Table 2
Phenotype	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	84	^(84-90)²⁄ _84²	0.005
Yellow Wrinkled (Y–rr)	30	21	^(21-30)²⁄ _21²	0.184
Green Round (yyR–)	30	43	^(43-30)²⁄ _43²	0.091
Green Wrinkled (yyrr)	10	12	^(12-10)²⁄ _12²	0.028
(sum) χ² =				0.308

Table 3
Phenotype	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	84	^(84-90)⁄ ₉₀	-0.067
Yellow Wrinkled (Y–rr)	30	21	^(21-30)⁄ ₃₀	-0.300
Green Round (yyR–)	30	43	^(43-30)⁄ ₃₀	0.433
Green Wrinkled (yyrr)	10	12	^(12-10)⁄ ₁₀	0.200
(sum) χ² =				0.267

Before you ask your instructor for a new lab partner, tell them which table is correct AND whether they can reject or fail to reject the null hypothesis using the information provided.

Table 1 with χ² = 9.133 is correct and we REJECT the null hypothesis Correct Table 2 with χ² = 0.308 is correct and we REJECT the null hypothesis Incorrect Table 3 with χ² = 0.267 is correct and we REJECT the null hypothesis Incorrect Table 1 with χ² = 9.133 is correct and we FAIL to REJECT the null hypothesis Incorrect Table 2 with χ² = 0.308 is correct and we FAIL to REJECT the null hypothesis Incorrect Table 3 with χ² = 0.267 is correct and we FAIL to REJECT the null hypothesis Incorrect MC

655c_1358

Table of Chi-Squared (χ²) Critical Values
Degrees of Freedom	Probability
Degrees of Freedom	0.95	0.90	0.75	0.50	0.25	0.10	0.05	0.01
1	0.00	0.02	0.10	0.45	1.32	2.71	3.84	6.63
2	0.10	0.21	0.58	1.39	2.77	4.61	5.99	9.21
3	0.35	0.58	1.21	2.37	4.11	6.25	7.81	11.34
4	0.71	1.06	1.92	3.36	5.39	7.78	9.49	13.28

Table 1
Phenotype	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	87	^(87-90)²⁄ ₈₇	0.103
Yellow Wrinkled (Y–rr)	30	24	^(24-30)²⁄ ₂₄	1.500
Green Round (yyR–)	30	37	^(37-30)²⁄ ₃₇	1.324
Green Wrinkled (yyrr)	10	12	^(12-10)²⁄ ₁₂	0.333
(sum) χ² =				3.261

Table 2
Phenotype	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	87	^(87-90)⁄ ₉₀	-0.033
Yellow Wrinkled (Y–rr)	30	24	^(24-30)⁄ ₃₀	-0.200
Green Round (yyR–)	30	37	^(37-30)⁄ ₃₀	0.233
Green Wrinkled (yyrr)	10	12	^(12-10)⁄ ₁₀	0.200
(sum) χ² =				0.200

Table 3
Phenotype	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	87	^(87-90)²⁄ ₉₀	0.100
Yellow Wrinkled (Y–rr)	30	24	^(24-30)²⁄ ₃₀	1.200
Green Round (yyR–)	30	37	^(37-30)²⁄ ₃₀	1.633
Green Wrinkled (yyrr)	10	12	^(12-10)²⁄ ₁₀	0.400
(sum) χ² =				3.333

Before you ask your instructor for a new lab partner, tell them which table is correct AND whether they can reject or fail to reject the null hypothesis using the information provided.

Table 1 with χ² = 3.261 is correct and we REJECT the null hypothesis Incorrect Table 2 with χ² = 0.200 is correct and we REJECT the null hypothesis Incorrect Table 3 with χ² = 3.333 is correct and we REJECT the null hypothesis Incorrect Table 1 with χ² = 3.261 is correct and we FAIL to REJECT the null hypothesis Incorrect Table 2 with χ² = 0.200 is correct and we FAIL to REJECT the null hypothesis Incorrect Table 3 with χ² = 3.333 is correct and we FAIL to REJECT the null hypothesis Correct MC

720c_b45c

Table of Chi-Squared (χ²) Critical Values
Degrees of Freedom	Probability
Degrees of Freedom	0.95	0.90	0.75	0.50	0.25	0.10	0.05	0.01
1	0.00	0.02	0.10	0.45	1.32	2.71	3.84	6.63
2	0.10	0.21	0.58	1.39	2.77	4.61	5.99	9.21
3	0.35	0.58	1.21	2.37	4.11	6.25	7.81	11.34
4	0.71	1.06	1.92	3.36	5.39	7.78	9.49	13.28

Table 1
Phenotype	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	94	^(94-90)²⁄ ₉₄	0.170
Yellow Wrinkled (Y–rr)	30	29	^(29-30)²⁄ ₂₉	0.034
Green Round (yyR–)	30	32	^(32-30)²⁄ ₃₂	0.125
Green Wrinkled (yyrr)	10	5	^(5-10)²⁄ ₅	5.000
(sum) χ² =				5.330

Table 2
Phenotype	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	94	^(94-90)²⁄ _94²	0.002
Yellow Wrinkled (Y–rr)	30	29	^(29-30)²⁄ _29²	0.001
Green Round (yyR–)	30	32	^(32-30)²⁄ _32²	0.004
Green Wrinkled (yyrr)	10	5	^(5-10)²⁄ _5²	1.000
(sum) χ² =				1.007

Table 3
Phenotype	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	94	^(94-90)²⁄ ₉₀	0.178
Yellow Wrinkled (Y–rr)	30	29	^(29-30)²⁄ ₃₀	0.033
Green Round (yyR–)	30	32	^(32-30)²⁄ ₃₀	0.133
Green Wrinkled (yyrr)	10	5	^(5-10)²⁄ ₁₀	2.500
(sum) χ² =				2.844

Before you ask your instructor for a new lab partner, tell them which table is correct AND whether they can reject or fail to reject the null hypothesis using the information provided.

Table 1 with χ² = 5.330 is correct and we REJECT the null hypothesis Incorrect Table 2 with χ² = 1.007 is correct and we REJECT the null hypothesis Incorrect Table 3 with χ² = 2.844 is correct and we REJECT the null hypothesis Incorrect Table 1 with χ² = 5.330 is correct and we FAIL to REJECT the null hypothesis Incorrect Table 2 with χ² = 1.007 is correct and we FAIL to REJECT the null hypothesis Incorrect Table 3 with χ² = 2.844 is correct and we FAIL to REJECT the null hypothesis Correct MC

e935_aed3

Table of Chi-Squared (χ²) Critical Values
Degrees of Freedom	Probability
Degrees of Freedom	0.95	0.90	0.75	0.50	0.25	0.10	0.05	0.01
1	0.00	0.02	0.10	0.45	1.32	2.71	3.84	6.63
2	0.10	0.21	0.58	1.39	2.77	4.61	5.99	9.21
3	0.35	0.58	1.21	2.37	4.11	6.25	7.81	11.34
4	0.71	1.06	1.92	3.36	5.39	7.78	9.49	13.28

Table 1
Phenotype	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	69	^(69-90)²⁄ ₆₉	6.391
Yellow Wrinkled (Y–rr)	30	17	^(17-30)²⁄ ₁₇	9.941
Green Round (yyR–)	30	55	^(55-30)²⁄ ₅₅	11.364
Green Wrinkled (yyrr)	10	19	^(19-10)²⁄ ₁₉	4.263
(sum) χ² =				31.959

Table 2
Phenotype	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	69	^(69-90)²⁄ ₉₀	4.900
Yellow Wrinkled (Y–rr)	30	17	^(17-30)²⁄ ₃₀	5.633
Green Round (yyR–)	30	55	^(55-30)²⁄ ₃₀	20.833
Green Wrinkled (yyrr)	10	19	^(19-10)²⁄ ₁₀	8.100
(sum) χ² =				39.467

Table 3
Phenotype	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	69	^(69-90)²⁄ _69²	0.093
Yellow Wrinkled (Y–rr)	30	17	^(17-30)²⁄ _17²	0.585
Green Round (yyR–)	30	55	^(55-30)²⁄ _55²	0.207
Green Wrinkled (yyrr)	10	19	^(19-10)²⁄ _19²	0.224
(sum) χ² =				1.108

Before you ask your instructor for a new lab partner, tell them which table is correct AND whether they can reject or fail to reject the null hypothesis using the information provided.

Table 1 with χ² = 31.959 is correct and we REJECT the null hypothesis Incorrect Table 2 with χ² = 39.467 is correct and we REJECT the null hypothesis Correct Table 3 with χ² = 1.108 is correct and we REJECT the null hypothesis Incorrect Table 1 with χ² = 31.959 is correct and we FAIL to REJECT the null hypothesis Incorrect Table 2 with χ² = 39.467 is correct and we FAIL to REJECT the null hypothesis Incorrect Table 3 with χ² = 1.108 is correct and we FAIL to REJECT the null hypothesis Incorrect MC

27f0_155e

Table of Chi-Squared (χ²) Critical Values
Degrees of Freedom	Probability
Degrees of Freedom	0.95	0.90	0.75	0.50	0.25	0.10	0.05	0.01
1	0.00	0.02	0.10	0.45	1.32	2.71	3.84	6.63
2	0.10	0.21	0.58	1.39	2.77	4.61	5.99	9.21
3	0.35	0.58	1.21	2.37	4.11	6.25	7.81	11.34
4	0.71	1.06	1.92	3.36	5.39	7.78	9.49	13.28

Table 1
Phenotype	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	83	^(83-90)²⁄ ₈₃	0.590
Yellow Wrinkled (Y–rr)	30	33	^(33-30)²⁄ ₃₃	0.273
Green Round (yyR–)	30	39	^(39-30)²⁄ ₃₉	2.077
Green Wrinkled (yyrr)	10	5	^(5-10)²⁄ ₅	5.000
(sum) χ² =				7.940

Table 2
Phenotype	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	83	^(83-90)²⁄ _83²	0.007
Yellow Wrinkled (Y–rr)	30	33	^(33-30)²⁄ _33²	0.008
Green Round (yyR–)	30	39	^(39-30)²⁄ _39²	0.053
Green Wrinkled (yyrr)	10	5	^(5-10)²⁄ _5²	1.000
(sum) χ² =				1.069

Table 3
Phenotype	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	83	^(83-90)²⁄ ₉₀	0.544
Yellow Wrinkled (Y–rr)	30	33	^(33-30)²⁄ ₃₀	0.300
Green Round (yyR–)	30	39	^(39-30)²⁄ ₃₀	2.700
Green Wrinkled (yyrr)	10	5	^(5-10)²⁄ ₁₀	2.500
(sum) χ² =				6.044

Before you ask your instructor for a new lab partner, tell them which table is correct AND whether they can reject or fail to reject the null hypothesis using the information provided.

Table 1 with χ² = 7.940 is correct and we REJECT the null hypothesis Incorrect Table 2 with χ² = 1.069 is correct and we REJECT the null hypothesis Incorrect Table 3 with χ² = 6.044 is correct and we REJECT the null hypothesis Incorrect Table 1 with χ² = 7.940 is correct and we FAIL to REJECT the null hypothesis Incorrect Table 2 with χ² = 1.069 is correct and we FAIL to REJECT the null hypothesis Incorrect Table 3 with χ² = 6.044 is correct and we FAIL to REJECT the null hypothesis Correct MC

11f3_af56

Table of Chi-Squared (χ²) Critical Values
Degrees of Freedom	Probability
Degrees of Freedom	0.95	0.90	0.75	0.50	0.25	0.10	0.05	0.01
1	0.00	0.02	0.10	0.45	1.32	2.71	3.84	6.63
2	0.10	0.21	0.58	1.39	2.77	4.61	5.99	9.21
3	0.35	0.58	1.21	2.37	4.11	6.25	7.81	11.34
4	0.71	1.06	1.92	3.36	5.39	7.78	9.49	13.28

Table 1
Phenotype	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	97	^(97-90)⁄ ₉₀	0.078
Yellow Wrinkled (Y–rr)	30	19	^(19-30)⁄ ₃₀	-0.367
Green Round (yyR–)	30	31	^(31-30)⁄ ₃₀	0.033
Green Wrinkled (yyrr)	10	13	^(13-10)⁄ ₁₀	0.300
(sum) χ² =				0.044

Table 2
Phenotype	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	97	^(97-90)²⁄ ₉₇	0.505
Yellow Wrinkled (Y–rr)	30	19	^(19-30)²⁄ ₁₉	6.368
Green Round (yyR–)	30	31	^(31-30)²⁄ ₃₁	0.032
Green Wrinkled (yyrr)	10	13	^(13-10)²⁄ ₁₃	0.692
(sum) χ² =				7.598

Table 3
Phenotype	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	97	^(97-90)²⁄ ₉₀	0.544
Yellow Wrinkled (Y–rr)	30	19	^(19-30)²⁄ ₃₀	4.033
Green Round (yyR–)	30	31	^(31-30)²⁄ ₃₀	0.033
Green Wrinkled (yyrr)	10	13	^(13-10)²⁄ ₁₀	0.900
(sum) χ² =				5.511

Before you ask your instructor for a new lab partner, tell them which table is correct AND whether they can reject or fail to reject the null hypothesis using the information provided.

Table 1 with χ² = 0.044 is correct and we REJECT the null hypothesis Incorrect Table 2 with χ² = 7.598 is correct and we REJECT the null hypothesis Incorrect Table 3 with χ² = 5.511 is correct and we REJECT the null hypothesis Incorrect Table 1 with χ² = 0.044 is correct and we FAIL to REJECT the null hypothesis Incorrect Table 2 with χ² = 7.598 is correct and we FAIL to REJECT the null hypothesis Incorrect Table 3 with χ² = 5.511 is correct and we FAIL to REJECT the null hypothesis Correct MC

0b7f_9ef2

Table of Chi-Squared (χ²) Critical Values
Degrees of Freedom	Probability
Degrees of Freedom	0.95	0.90	0.75	0.50	0.25	0.10	0.05	0.01
1	0.00	0.02	0.10	0.45	1.32	2.71	3.84	6.63
2	0.10	0.21	0.58	1.39	2.77	4.61	5.99	9.21
3	0.35	0.58	1.21	2.37	4.11	6.25	7.81	11.34
4	0.71	1.06	1.92	3.36	5.39	7.78	9.49	13.28

Table 1
Phenotype	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	87	^(87-90)²⁄ ₉₀	0.100
Yellow Wrinkled (Y–rr)	30	16	^(16-30)²⁄ ₃₀	6.533
Green Round (yyR–)	30	42	^(42-30)²⁄ ₃₀	4.800
Green Wrinkled (yyrr)	10	15	^(15-10)²⁄ ₁₀	2.500
(sum) χ² =				13.933

Table 2
Phenotype	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	87	^(87-90)²⁄ ₈₇	0.103
Yellow Wrinkled (Y–rr)	30	16	^(16-30)²⁄ ₁₆	12.250
Green Round (yyR–)	30	42	^(42-30)²⁄ ₄₂	3.429
Green Wrinkled (yyrr)	10	15	^(15-10)²⁄ ₁₅	1.667
(sum) χ² =				17.449

Table 3
Phenotype	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	87	^(87-90)⁄ ₉₀	-0.033
Yellow Wrinkled (Y–rr)	30	16	^(16-30)⁄ ₃₀	-0.467
Green Round (yyR–)	30	42	^(42-30)⁄ ₃₀	0.400
Green Wrinkled (yyrr)	10	15	^(15-10)⁄ ₁₀	0.500
(sum) χ² =				0.400

Before you ask your instructor for a new lab partner, tell them which table is correct AND whether they can reject or fail to reject the null hypothesis using the information provided.

Table 1 with χ² = 13.933 is correct and we REJECT the null hypothesis Correct Table 2 with χ² = 17.449 is correct and we REJECT the null hypothesis Incorrect Table 3 with χ² = 0.400 is correct and we REJECT the null hypothesis Incorrect Table 1 with χ² = 13.933 is correct and we FAIL to REJECT the null hypothesis Incorrect Table 2 with χ² = 17.449 is correct and we FAIL to REJECT the null hypothesis Incorrect Table 3 with χ² = 0.400 is correct and we FAIL to REJECT the null hypothesis Incorrect MC

930c_618a

Table of Chi-Squared (χ²) Critical Values
Degrees of Freedom	Probability
Degrees of Freedom	0.95	0.90	0.75	0.50	0.25	0.10	0.05	0.01
1	0.00	0.02	0.10	0.45	1.32	2.71	3.84	6.63
2	0.10	0.21	0.58	1.39	2.77	4.61	5.99	9.21
3	0.35	0.58	1.21	2.37	4.11	6.25	7.81	11.34
4	0.71	1.06	1.92	3.36	5.39	7.78	9.49	13.28

Table 1
Phenotype	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	78	^(78-90)⁄ ₉₀	-0.133
Yellow Wrinkled (Y–rr)	30	19	^(19-30)⁄ ₃₀	-0.367
Green Round (yyR–)	30	47	^(47-30)⁄ ₃₀	0.567
Green Wrinkled (yyrr)	10	16	^(16-10)⁄ ₁₀	0.600
(sum) χ² =				0.667

Table 2
Phenotype	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	78	^(78-90)²⁄ _78²	0.024
Yellow Wrinkled (Y–rr)	30	19	^(19-30)²⁄ _19²	0.335
Green Round (yyR–)	30	47	^(47-30)²⁄ _47²	0.131
Green Wrinkled (yyrr)	10	16	^(16-10)²⁄ _16²	0.141
(sum) χ² =				0.630

Table 3
Phenotype	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	78	^(78-90)²⁄ ₉₀	1.600
Yellow Wrinkled (Y–rr)	30	19	^(19-30)²⁄ ₃₀	4.033
Green Round (yyR–)	30	47	^(47-30)²⁄ ₃₀	9.633
Green Wrinkled (yyrr)	10	16	^(16-10)²⁄ ₁₀	3.600
(sum) χ² =				18.867

Before you ask your instructor for a new lab partner, tell them which table is correct AND whether they can reject or fail to reject the null hypothesis using the information provided.

Table 1 with χ² = 0.667 is correct and we REJECT the null hypothesis Incorrect Table 2 with χ² = 0.630 is correct and we REJECT the null hypothesis Incorrect Table 3 with χ² = 18.867 is correct and we REJECT the null hypothesis Correct Table 1 with χ² = 0.667 is correct and we FAIL to REJECT the null hypothesis Incorrect Table 2 with χ² = 0.630 is correct and we FAIL to REJECT the null hypothesis Incorrect Table 3 with χ² = 18.867 is correct and we FAIL to REJECT the null hypothesis Incorrect MC

ab97_4f4a

Table of Chi-Squared (χ²) Critical Values
Degrees of Freedom	Probability
Degrees of Freedom	0.95	0.90	0.75	0.50	0.25	0.10	0.05	0.01
1	0.00	0.02	0.10	0.45	1.32	2.71	3.84	6.63
2	0.10	0.21	0.58	1.39	2.77	4.61	5.99	9.21
3	0.35	0.58	1.21	2.37	4.11	6.25	7.81	11.34
4	0.71	1.06	1.92	3.36	5.39	7.78	9.49	13.28

Table 1
Phenotype	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	97	^(97-90)²⁄ _97²	0.005
Yellow Wrinkled (Y–rr)	30	28	^(28-30)²⁄ _28²	0.005
Green Round (yyR–)	30	29	^(29-30)²⁄ _29²	0.001
Green Wrinkled (yyrr)	10	6	^(6-10)²⁄ _6²	0.444
(sum) χ² =				0.456

Table 2
Phenotype	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	97	^(97-90)²⁄ ₉₇	0.505
Yellow Wrinkled (Y–rr)	30	28	^(28-30)²⁄ ₂₈	0.143
Green Round (yyR–)	30	29	^(29-30)²⁄ ₂₉	0.034
Green Wrinkled (yyrr)	10	6	^(6-10)²⁄ ₆	2.667
(sum) χ² =				3.349

Table 3
Phenotype	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	97	^(97-90)²⁄ ₉₀	0.544
Yellow Wrinkled (Y–rr)	30	28	^(28-30)²⁄ ₃₀	0.133
Green Round (yyR–)	30	29	^(29-30)²⁄ ₃₀	0.033
Green Wrinkled (yyrr)	10	6	^(6-10)²⁄ ₁₀	1.600
(sum) χ² =				2.311

Before you ask your instructor for a new lab partner, tell them which table is correct AND whether they can reject or fail to reject the null hypothesis using the information provided.

Table 1 with χ² = 0.456 is correct and we REJECT the null hypothesis Incorrect Table 2 with χ² = 3.349 is correct and we REJECT the null hypothesis Incorrect Table 3 with χ² = 2.311 is correct and we REJECT the null hypothesis Incorrect Table 1 with χ² = 0.456 is correct and we FAIL to REJECT the null hypothesis Incorrect Table 2 with χ² = 3.349 is correct and we FAIL to REJECT the null hypothesis Incorrect Table 3 with χ² = 2.311 is correct and we FAIL to REJECT the null hypothesis Correct MC

0fc1_8148

Table of Chi-Squared (χ²) Critical Values
Degrees of Freedom	Probability
Degrees of Freedom	0.95	0.90	0.75	0.50	0.25	0.10	0.05	0.01
1	0.00	0.02	0.10	0.45	1.32	2.71	3.84	6.63
2	0.10	0.21	0.58	1.39	2.77	4.61	5.99	9.21
3	0.35	0.58	1.21	2.37	4.11	6.25	7.81	11.34
4	0.71	1.06	1.92	3.36	5.39	7.78	9.49	13.28

Table 1
Phenotype	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	79	^(79-90)²⁄ ₉₀	1.344
Yellow Wrinkled (Y–rr)	30	36	^(36-30)²⁄ ₃₀	1.200
Green Round (yyR–)	30	38	^(38-30)²⁄ ₃₀	2.133
Green Wrinkled (yyrr)	10	7	^(7-10)²⁄ ₁₀	0.900
(sum) χ² =				5.578

Table 2
Phenotype	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	79	^(79-90)²⁄ _79²	0.019
Yellow Wrinkled (Y–rr)	30	36	^(36-30)²⁄ _36²	0.028
Green Round (yyR–)	30	38	^(38-30)²⁄ _38²	0.044
Green Wrinkled (yyrr)	10	7	^(7-10)²⁄ _7²	0.184
(sum) χ² =				0.275

Table 3
Phenotype	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	79	^(79-90)²⁄ ₇₉	1.532
Yellow Wrinkled (Y–rr)	30	36	^(36-30)²⁄ ₃₆	1.000
Green Round (yyR–)	30	38	^(38-30)²⁄ ₃₈	1.684
Green Wrinkled (yyrr)	10	7	^(7-10)²⁄ ₇	1.286
(sum) χ² =				5.502

Before you ask your instructor for a new lab partner, tell them which table is correct AND whether they can reject or fail to reject the null hypothesis using the information provided.

Table 1 with χ² = 5.578 is correct and we REJECT the null hypothesis Incorrect Table 2 with χ² = 0.275 is correct and we REJECT the null hypothesis Incorrect Table 3 with χ² = 5.502 is correct and we REJECT the null hypothesis Incorrect Table 1 with χ² = 5.578 is correct and we FAIL to REJECT the null hypothesis Correct Table 2 with χ² = 0.275 is correct and we FAIL to REJECT the null hypothesis Incorrect Table 3 with χ² = 5.502 is correct and we FAIL to REJECT the null hypothesis Incorrect MC

3853_e869

Table of Chi-Squared (χ²) Critical Values
Degrees of Freedom	Probability
Degrees of Freedom	0.95	0.90	0.75	0.50	0.25	0.10	0.05	0.01
1	0.00	0.02	0.10	0.45	1.32	2.71	3.84	6.63
2	0.10	0.21	0.58	1.39	2.77	4.61	5.99	9.21
3	0.35	0.58	1.21	2.37	4.11	6.25	7.81	11.34
4	0.71	1.06	1.92	3.36	5.39	7.78	9.49	13.28

Table 1
Phenotype	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	86	^(86-90)²⁄ ₉₀	0.178
Yellow Wrinkled (Y–rr)	30	12	^(12-30)²⁄ ₃₀	10.800
Green Round (yyR–)	30	45	^(45-30)²⁄ ₃₀	7.500
Green Wrinkled (yyrr)	10	17	^(17-10)²⁄ ₁₀	4.900
(sum) χ² =				23.378

Table 2
Phenotype	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	86	^(86-90)²⁄ ₈₆	0.186
Yellow Wrinkled (Y–rr)	30	12	^(12-30)²⁄ ₁₂	27.000
Green Round (yyR–)	30	45	^(45-30)²⁄ ₄₅	5.000
Green Wrinkled (yyrr)	10	17	^(17-10)²⁄ ₁₇	2.882
(sum) χ² =				35.068

Table 3
Phenotype	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	86	^(86-90)⁄ ₉₀	-0.044
Yellow Wrinkled (Y–rr)	30	12	^(12-30)⁄ ₃₀	-0.600
Green Round (yyR–)	30	45	^(45-30)⁄ ₃₀	0.500
Green Wrinkled (yyrr)	10	17	^(17-10)⁄ ₁₀	0.700
(sum) χ² =				0.556

Before you ask your instructor for a new lab partner, tell them which table is correct AND whether they can reject or fail to reject the null hypothesis using the information provided.

Table 1 with χ² = 23.378 is correct and we REJECT the null hypothesis Correct Table 2 with χ² = 35.068 is correct and we REJECT the null hypothesis Incorrect Table 3 with χ² = 0.556 is correct and we REJECT the null hypothesis Incorrect Table 1 with χ² = 23.378 is correct and we FAIL to REJECT the null hypothesis Incorrect Table 2 with χ² = 35.068 is correct and we FAIL to REJECT the null hypothesis Incorrect Table 3 with χ² = 0.556 is correct and we FAIL to REJECT the null hypothesis Incorrect MC

8627_949b

Table of Chi-Squared (χ²) Critical Values
Degrees of Freedom	Probability
Degrees of Freedom	0.95	0.90	0.75	0.50	0.25	0.10	0.05	0.01
1	0.00	0.02	0.10	0.45	1.32	2.71	3.84	6.63
2	0.10	0.21	0.58	1.39	2.77	4.61	5.99	9.21
3	0.35	0.58	1.21	2.37	4.11	6.25	7.81	11.34
4	0.71	1.06	1.92	3.36	5.39	7.78	9.49	13.28

Table 1
Phenotype	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	82	^(82-90)²⁄ _82²	0.010
Yellow Wrinkled (Y–rr)	30	16	^(16-30)²⁄ _16²	0.766
Green Round (yyR–)	30	43	^(43-30)²⁄ _43²	0.091
Green Wrinkled (yyrr)	10	19	^(19-10)²⁄ _19²	0.224
(sum) χ² =				1.091

Table 2
Phenotype	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	82	^(82-90)⁄ ₉₀	-0.089
Yellow Wrinkled (Y–rr)	30	16	^(16-30)⁄ ₃₀	-0.467
Green Round (yyR–)	30	43	^(43-30)⁄ ₃₀	0.433
Green Wrinkled (yyrr)	10	19	^(19-10)⁄ ₁₀	0.900
(sum) χ² =				0.778

Table 3
Phenotype	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	82	^(82-90)²⁄ ₉₀	0.711
Yellow Wrinkled (Y–rr)	30	16	^(16-30)²⁄ ₃₀	6.533
Green Round (yyR–)	30	43	^(43-30)²⁄ ₃₀	5.633
Green Wrinkled (yyrr)	10	19	^(19-10)²⁄ ₁₀	8.100
(sum) χ² =				20.978

Before you ask your instructor for a new lab partner, tell them which table is correct AND whether they can reject or fail to reject the null hypothesis using the information provided.

Table 1 with χ² = 1.091 is correct and we REJECT the null hypothesis Incorrect Table 2 with χ² = 0.778 is correct and we REJECT the null hypothesis Incorrect Table 3 with χ² = 20.978 is correct and we REJECT the null hypothesis Correct Table 1 with χ² = 1.091 is correct and we FAIL to REJECT the null hypothesis Incorrect Table 2 with χ² = 0.778 is correct and we FAIL to REJECT the null hypothesis Incorrect Table 3 with χ² = 20.978 is correct and we FAIL to REJECT the null hypothesis Incorrect MC

25b0_6ed3

Table of Chi-Squared (χ²) Critical Values
Degrees of Freedom	Probability
Degrees of Freedom	0.95	0.90	0.75	0.50	0.25	0.10	0.05	0.01
1	0.00	0.02	0.10	0.45	1.32	2.71	3.84	6.63
2	0.10	0.21	0.58	1.39	2.77	4.61	5.99	9.21
3	0.35	0.58	1.21	2.37	4.11	6.25	7.81	11.34
4	0.71	1.06	1.92	3.36	5.39	7.78	9.49	13.28

Table 1
Phenotype	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	77	^(77-90)²⁄ ₉₀	1.878
Yellow Wrinkled (Y–rr)	30	39	^(39-30)²⁄ ₃₀	2.700
Green Round (yyR–)	30	29	^(29-30)²⁄ ₃₀	0.033
Green Wrinkled (yyrr)	10	15	^(15-10)²⁄ ₁₀	2.500
(sum) χ² =				7.111

Table 2
Phenotype	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	77	^(77-90)⁄ ₉₀	-0.144
Yellow Wrinkled (Y–rr)	30	39	^(39-30)⁄ ₃₀	0.300
Green Round (yyR–)	30	29	^(29-30)⁄ ₃₀	-0.033
Green Wrinkled (yyrr)	10	15	^(15-10)⁄ ₁₀	0.500
(sum) χ² =				0.622

Table 3
Phenotype	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	77	^(77-90)²⁄ ₇₇	2.195
Yellow Wrinkled (Y–rr)	30	39	^(39-30)²⁄ ₃₉	2.077
Green Round (yyR–)	30	29	^(29-30)²⁄ ₂₉	0.034
Green Wrinkled (yyrr)	10	15	^(15-10)²⁄ ₁₅	1.667
(sum) χ² =				5.973

Before you ask your instructor for a new lab partner, tell them which table is correct AND whether they can reject or fail to reject the null hypothesis using the information provided.

Table 1 with χ² = 7.111 is correct and we REJECT the null hypothesis Incorrect Table 2 with χ² = 0.622 is correct and we REJECT the null hypothesis Incorrect Table 3 with χ² = 5.973 is correct and we REJECT the null hypothesis Incorrect Table 1 with χ² = 7.111 is correct and we FAIL to REJECT the null hypothesis Correct Table 2 with χ² = 0.622 is correct and we FAIL to REJECT the null hypothesis Incorrect Table 3 with χ² = 5.973 is correct and we FAIL to REJECT the null hypothesis Incorrect MC

a0f0_d5c1

Table of Chi-Squared (χ²) Critical Values
Degrees of Freedom	Probability
Degrees of Freedom	0.95	0.90	0.75	0.50	0.25	0.10	0.05	0.01
1	0.00	0.02	0.10	0.45	1.32	2.71	3.84	6.63
2	0.10	0.21	0.58	1.39	2.77	4.61	5.99	9.21
3	0.35	0.58	1.21	2.37	4.11	6.25	7.81	11.34
4	0.71	1.06	1.92	3.36	5.39	7.78	9.49	13.28

Table 1
Phenotype	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	78	^(78-90)²⁄ ₇₈	1.846
Yellow Wrinkled (Y–rr)	30	36	^(36-30)²⁄ ₃₆	1.000
Green Round (yyR–)	30	38	^(38-30)²⁄ ₃₈	1.684
Green Wrinkled (yyrr)	10	8	^(8-10)²⁄ ₈	0.500
(sum) χ² =				5.030

Table 2
Phenotype	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	78	^(78-90)⁄ ₉₀	-0.133
Yellow Wrinkled (Y–rr)	30	36	^(36-30)⁄ ₃₀	0.200
Green Round (yyR–)	30	38	^(38-30)⁄ ₃₀	0.267
Green Wrinkled (yyrr)	10	8	^(8-10)⁄ ₁₀	-0.200
(sum) χ² =				0.133

Table 3
Phenotype	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	78	^(78-90)²⁄ ₉₀	1.600
Yellow Wrinkled (Y–rr)	30	36	^(36-30)²⁄ ₃₀	1.200
Green Round (yyR–)	30	38	^(38-30)²⁄ ₃₀	2.133
Green Wrinkled (yyrr)	10	8	^(8-10)²⁄ ₁₀	0.400
(sum) χ² =				5.333

Before you ask your instructor for a new lab partner, tell them which table is correct AND whether they can reject or fail to reject the null hypothesis using the information provided.

Table 1 with χ² = 5.030 is correct and we REJECT the null hypothesis Incorrect Table 2 with χ² = 0.133 is correct and we REJECT the null hypothesis Incorrect Table 3 with χ² = 5.333 is correct and we REJECT the null hypothesis Incorrect Table 1 with χ² = 5.030 is correct and we FAIL to REJECT the null hypothesis Incorrect Table 2 with χ² = 0.133 is correct and we FAIL to REJECT the null hypothesis Incorrect Table 3 with χ² = 5.333 is correct and we FAIL to REJECT the null hypothesis Correct MC

603d_bb9f

Table of Chi-Squared (χ²) Critical Values
Degrees of Freedom	Probability
Degrees of Freedom	0.95	0.90	0.75	0.50	0.25	0.10	0.05	0.01
1	0.00	0.02	0.10	0.45	1.32	2.71	3.84	6.63
2	0.10	0.21	0.58	1.39	2.77	4.61	5.99	9.21
3	0.35	0.58	1.21	2.37	4.11	6.25	7.81	11.34
4	0.71	1.06	1.92	3.36	5.39	7.78	9.49	13.28

Table 1
Phenotype	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	82	^(82-90)⁄ ₉₀	-0.089
Yellow Wrinkled (Y–rr)	30	20	^(20-30)⁄ ₃₀	-0.333
Green Round (yyR–)	30	39	^(39-30)⁄ ₃₀	0.300
Green Wrinkled (yyrr)	10	19	^(19-10)⁄ ₁₀	0.900
(sum) χ² =				0.778

Table 2
Phenotype	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	82	^(82-90)²⁄ ₈₂	0.780
Yellow Wrinkled (Y–rr)	30	20	^(20-30)²⁄ ₂₀	5.000
Green Round (yyR–)	30	39	^(39-30)²⁄ ₃₉	2.077
Green Wrinkled (yyrr)	10	19	^(19-10)²⁄ ₁₉	4.263
(sum) χ² =				12.121

Table 3
Phenotype	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	82	^(82-90)²⁄ ₉₀	0.711
Yellow Wrinkled (Y–rr)	30	20	^(20-30)²⁄ ₃₀	3.333
Green Round (yyR–)	30	39	^(39-30)²⁄ ₃₀	2.700
Green Wrinkled (yyrr)	10	19	^(19-10)²⁄ ₁₀	8.100
(sum) χ² =				14.844

Before you ask your instructor for a new lab partner, tell them which table is correct AND whether they can reject or fail to reject the null hypothesis using the information provided.

Table 1 with χ² = 0.778 is correct and we REJECT the null hypothesis Incorrect Table 2 with χ² = 12.121 is correct and we REJECT the null hypothesis Incorrect Table 3 with χ² = 14.844 is correct and we REJECT the null hypothesis Correct Table 1 with χ² = 0.778 is correct and we FAIL to REJECT the null hypothesis Incorrect Table 2 with χ² = 12.121 is correct and we FAIL to REJECT the null hypothesis Incorrect Table 3 with χ² = 14.844 is correct and we FAIL to REJECT the null hypothesis Incorrect MC

a878_9b16

Table of Chi-Squared (χ²) Critical Values
Degrees of Freedom	Probability
Degrees of Freedom	0.95	0.90	0.75	0.50	0.25	0.10	0.05	0.01
1	0.00	0.02	0.10	0.45	1.32	2.71	3.84	6.63
2	0.10	0.21	0.58	1.39	2.77	4.61	5.99	9.21
3	0.35	0.58	1.21	2.37	4.11	6.25	7.81	11.34
4	0.71	1.06	1.92	3.36	5.39	7.78	9.49	13.28

Table 1
Phenotype	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	82	^(82-90)²⁄ ₉₀	0.711
Yellow Wrinkled (Y–rr)	30	21	^(21-30)²⁄ ₃₀	2.700
Green Round (yyR–)	30	40	^(40-30)²⁄ ₃₀	3.333
Green Wrinkled (yyrr)	10	17	^(17-10)²⁄ ₁₀	4.900
(sum) χ² =				11.644

Table 2
Phenotype	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	82	^(82-90)²⁄ _82²	0.010
Yellow Wrinkled (Y–rr)	30	21	^(21-30)²⁄ _21²	0.184
Green Round (yyR–)	30	40	^(40-30)²⁄ _40²	0.062
Green Wrinkled (yyrr)	10	17	^(17-10)²⁄ _17²	0.170
(sum) χ² =				0.425

Table 3
Phenotype	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	82	^(82-90)⁄ ₉₀	-0.089
Yellow Wrinkled (Y–rr)	30	21	^(21-30)⁄ ₃₀	-0.300
Green Round (yyR–)	30	40	^(40-30)⁄ ₃₀	0.333
Green Wrinkled (yyrr)	10	17	^(17-10)⁄ ₁₀	0.700
(sum) χ² =				0.644

Before you ask your instructor for a new lab partner, tell them which table is correct AND whether they can reject or fail to reject the null hypothesis using the information provided.

Table 1 with χ² = 11.644 is correct and we REJECT the null hypothesis Correct Table 2 with χ² = 0.425 is correct and we REJECT the null hypothesis Incorrect Table 3 with χ² = 0.644 is correct and we REJECT the null hypothesis Incorrect Table 1 with χ² = 11.644 is correct and we FAIL to REJECT the null hypothesis Incorrect Table 2 with χ² = 0.425 is correct and we FAIL to REJECT the null hypothesis Incorrect Table 3 with χ² = 0.644 is correct and we FAIL to REJECT the null hypothesis Incorrect MC

75c6_4d7b

Table of Chi-Squared (χ²) Critical Values
Degrees of Freedom	Probability
Degrees of Freedom	0.95	0.90	0.75	0.50	0.25	0.10	0.05	0.01
1	0.00	0.02	0.10	0.45	1.32	2.71	3.84	6.63
2	0.10	0.21	0.58	1.39	2.77	4.61	5.99	9.21
3	0.35	0.58	1.21	2.37	4.11	6.25	7.81	11.34
4	0.71	1.06	1.92	3.36	5.39	7.78	9.49	13.28

Table 1
Phenotype	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	102	^(102-90)²⁄ ₁₀₂	1.412
Yellow Wrinkled (Y–rr)	30	25	^(25-30)²⁄ ₂₅	1.000
Green Round (yyR–)	30	27	^(27-30)²⁄ ₂₇	0.333
Green Wrinkled (yyrr)	10	6	^(6-10)²⁄ ₆	2.667
(sum) χ² =				5.412

Table 2
Phenotype	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	102	^(102-90)⁄ ₉₀	0.133
Yellow Wrinkled (Y–rr)	30	25	^(25-30)⁄ ₃₀	-0.167
Green Round (yyR–)	30	27	^(27-30)⁄ ₃₀	-0.100
Green Wrinkled (yyrr)	10	6	^(6-10)⁄ ₁₀	-0.400
(sum) χ² =				-0.533

Table 3
Phenotype	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	102	^(102-90)²⁄ ₉₀	1.600
Yellow Wrinkled (Y–rr)	30	25	^(25-30)²⁄ ₃₀	0.833
Green Round (yyR–)	30	27	^(27-30)²⁄ ₃₀	0.300
Green Wrinkled (yyrr)	10	6	^(6-10)²⁄ ₁₀	1.600
(sum) χ² =				4.333

Before you ask your instructor for a new lab partner, tell them which table is correct AND whether they can reject or fail to reject the null hypothesis using the information provided.

Table 1 with χ² = 5.412 is correct and we REJECT the null hypothesis Incorrect Table 2 with χ² = -0.533 is correct and we REJECT the null hypothesis Incorrect Table 3 with χ² = 4.333 is correct and we REJECT the null hypothesis Incorrect Table 1 with χ² = 5.412 is correct and we FAIL to REJECT the null hypothesis Incorrect Table 2 with χ² = -0.533 is correct and we FAIL to REJECT the null hypothesis Incorrect Table 3 with χ² = 4.333 is correct and we FAIL to REJECT the null hypothesis Correct MC

61c4_2899

Table of Chi-Squared (χ²) Critical Values
Degrees of Freedom	Probability
Degrees of Freedom	0.95	0.90	0.75	0.50	0.25	0.10	0.05	0.01
1	0.00	0.02	0.10	0.45	1.32	2.71	3.84	6.63
2	0.10	0.21	0.58	1.39	2.77	4.61	5.99	9.21
3	0.35	0.58	1.21	2.37	4.11	6.25	7.81	11.34
4	0.71	1.06	1.92	3.36	5.39	7.78	9.49	13.28

Table 1
Phenotype	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	93	^(93-90)²⁄ ₉₃	0.097
Yellow Wrinkled (Y–rr)	30	25	^(25-30)²⁄ ₂₅	1.000
Green Round (yyR–)	30	27	^(27-30)²⁄ ₂₇	0.333
Green Wrinkled (yyrr)	10	15	^(15-10)²⁄ ₁₅	1.667
(sum) χ² =				3.097

Table 2
Phenotype	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	93	^(93-90)²⁄ ₉₀	0.100
Yellow Wrinkled (Y–rr)	30	25	^(25-30)²⁄ ₃₀	0.833
Green Round (yyR–)	30	27	^(27-30)²⁄ ₃₀	0.300
Green Wrinkled (yyrr)	10	15	^(15-10)²⁄ ₁₀	2.500
(sum) χ² =				3.733

Table 3
Phenotype	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	93	^(93-90)²⁄ _93²	0.001
Yellow Wrinkled (Y–rr)	30	25	^(25-30)²⁄ _25²	0.040
Green Round (yyR–)	30	27	^(27-30)²⁄ _27²	0.012
Green Wrinkled (yyrr)	10	15	^(15-10)²⁄ _15²	0.111
(sum) χ² =				0.164

Before you ask your instructor for a new lab partner, tell them which table is correct AND whether they can reject or fail to reject the null hypothesis using the information provided.

Table 1 with χ² = 3.097 is correct and we REJECT the null hypothesis Incorrect Table 2 with χ² = 3.733 is correct and we REJECT the null hypothesis Incorrect Table 3 with χ² = 0.164 is correct and we REJECT the null hypothesis Incorrect Table 1 with χ² = 3.097 is correct and we FAIL to REJECT the null hypothesis Incorrect Table 2 with χ² = 3.733 is correct and we FAIL to REJECT the null hypothesis Correct Table 3 with χ² = 0.164 is correct and we FAIL to REJECT the null hypothesis Incorrect MC

8b73_0044

Table of Chi-Squared (χ²) Critical Values
Degrees of Freedom	Probability
Degrees of Freedom	0.95	0.90	0.75	0.50	0.25	0.10	0.05	0.01
1	0.00	0.02	0.10	0.45	1.32	2.71	3.84	6.63
2	0.10	0.21	0.58	1.39	2.77	4.61	5.99	9.21
3	0.35	0.58	1.21	2.37	4.11	6.25	7.81	11.34
4	0.71	1.06	1.92	3.36	5.39	7.78	9.49	13.28

Table 1
Phenotype	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	97	^(97-90)²⁄ ₉₇	0.505
Yellow Wrinkled (Y–rr)	30	25	^(25-30)²⁄ ₂₅	1.000
Green Round (yyR–)	30	31	^(31-30)²⁄ ₃₁	0.032
Green Wrinkled (yyrr)	10	7	^(7-10)²⁄ ₇	1.286
(sum) χ² =				2.823

Table 2
Phenotype	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	97	^(97-90)⁄ ₉₀	0.078
Yellow Wrinkled (Y–rr)	30	25	^(25-30)⁄ ₃₀	-0.167
Green Round (yyR–)	30	31	^(31-30)⁄ ₃₀	0.033
Green Wrinkled (yyrr)	10	7	^(7-10)⁄ ₁₀	-0.300
(sum) χ² =				-0.356

Table 3
Phenotype	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	97	^(97-90)²⁄ ₉₀	0.544
Yellow Wrinkled (Y–rr)	30	25	^(25-30)²⁄ ₃₀	0.833
Green Round (yyR–)	30	31	^(31-30)²⁄ ₃₀	0.033
Green Wrinkled (yyrr)	10	7	^(7-10)²⁄ ₁₀	0.900
(sum) χ² =				2.311

Before you ask your instructor for a new lab partner, tell them which table is correct AND whether they can reject or fail to reject the null hypothesis using the information provided.

Table 1 with χ² = 2.823 is correct and we REJECT the null hypothesis Incorrect Table 2 with χ² = -0.356 is correct and we REJECT the null hypothesis Incorrect Table 3 with χ² = 2.311 is correct and we REJECT the null hypothesis Incorrect Table 1 with χ² = 2.823 is correct and we FAIL to REJECT the null hypothesis Incorrect Table 2 with χ² = -0.356 is correct and we FAIL to REJECT the null hypothesis Incorrect Table 3 with χ² = 2.311 is correct and we FAIL to REJECT the null hypothesis Correct MC

71ff_c51b

Table of Chi-Squared (χ²) Critical Values
Degrees of Freedom	Probability
Degrees of Freedom	0.95	0.90	0.75	0.50	0.25	0.10	0.05	0.01
1	0.00	0.02	0.10	0.45	1.32	2.71	3.84	6.63
2	0.10	0.21	0.58	1.39	2.77	4.61	5.99	9.21
3	0.35	0.58	1.21	2.37	4.11	6.25	7.81	11.34
4	0.71	1.06	1.92	3.36	5.39	7.78	9.49	13.28

Table 1
Phenotype	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	83	^(83-90)²⁄ ₉₀	0.544
Yellow Wrinkled (Y–rr)	30	32	^(32-30)²⁄ ₃₀	0.133
Green Round (yyR–)	30	33	^(33-30)²⁄ ₃₀	0.300
Green Wrinkled (yyrr)	10	12	^(12-10)²⁄ ₁₀	0.400
(sum) χ² =				1.378

Table 2
Phenotype	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	83	^(83-90)²⁄ ₈₃	0.590
Yellow Wrinkled (Y–rr)	30	32	^(32-30)²⁄ ₃₂	0.125
Green Round (yyR–)	30	33	^(33-30)²⁄ ₃₃	0.273
Green Wrinkled (yyrr)	10	12	^(12-10)²⁄ ₁₂	0.333
(sum) χ² =				1.321

Table 3
Phenotype	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	83	^(83-90)⁄ ₉₀	-0.078
Yellow Wrinkled (Y–rr)	30	32	^(32-30)⁄ ₃₀	0.067
Green Round (yyR–)	30	33	^(33-30)⁄ ₃₀	0.100
Green Wrinkled (yyrr)	10	12	^(12-10)⁄ ₁₀	0.200
(sum) χ² =				0.289

Before you ask your instructor for a new lab partner, tell them which table is correct AND whether they can reject or fail to reject the null hypothesis using the information provided.

Table 1 with χ² = 1.378 is correct and we REJECT the null hypothesis Incorrect Table 2 with χ² = 1.321 is correct and we REJECT the null hypothesis Incorrect Table 3 with χ² = 0.289 is correct and we REJECT the null hypothesis Incorrect Table 1 with χ² = 1.378 is correct and we FAIL to REJECT the null hypothesis Correct Table 2 with χ² = 1.321 is correct and we FAIL to REJECT the null hypothesis Incorrect Table 3 with χ² = 0.289 is correct and we FAIL to REJECT the null hypothesis Incorrect MC

1300_bf7c

Table of Chi-Squared (χ²) Critical Values
Degrees of Freedom	Probability
Degrees of Freedom	0.95	0.90	0.75	0.50	0.25	0.10	0.05	0.01
1	0.00	0.02	0.10	0.45	1.32	2.71	3.84	6.63
2	0.10	0.21	0.58	1.39	2.77	4.61	5.99	9.21
3	0.35	0.58	1.21	2.37	4.11	6.25	7.81	11.34
4	0.71	1.06	1.92	3.36	5.39	7.78	9.49	13.28

Table 1
Phenotype	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	80	^(80-90)²⁄ ₉₀	1.111
Yellow Wrinkled (Y–rr)	30	20	^(20-30)²⁄ ₃₀	3.333
Green Round (yyR–)	30	46	^(46-30)²⁄ ₃₀	8.533
Green Wrinkled (yyrr)	10	14	^(14-10)²⁄ ₁₀	1.600
(sum) χ² =				14.578

Table 2
Phenotype	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	80	^(80-90)²⁄ _80²	0.016
Yellow Wrinkled (Y–rr)	30	20	^(20-30)²⁄ _20²	0.250
Green Round (yyR–)	30	46	^(46-30)²⁄ _46²	0.121
Green Wrinkled (yyrr)	10	14	^(14-10)²⁄ _14²	0.082
(sum) χ² =				0.468

Table 3
Phenotype	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	80	^(80-90)⁄ ₉₀	-0.111
Yellow Wrinkled (Y–rr)	30	20	^(20-30)⁄ ₃₀	-0.333
Green Round (yyR–)	30	46	^(46-30)⁄ ₃₀	0.533
Green Wrinkled (yyrr)	10	14	^(14-10)⁄ ₁₀	0.400
(sum) χ² =				0.489

Before you ask your instructor for a new lab partner, tell them which table is correct AND whether they can reject or fail to reject the null hypothesis using the information provided.

Table 1 with χ² = 14.578 is correct and we REJECT the null hypothesis Correct Table 2 with χ² = 0.468 is correct and we REJECT the null hypothesis Incorrect Table 3 with χ² = 0.489 is correct and we REJECT the null hypothesis Incorrect Table 1 with χ² = 14.578 is correct and we FAIL to REJECT the null hypothesis Incorrect Table 2 with χ² = 0.468 is correct and we FAIL to REJECT the null hypothesis Incorrect Table 3 with χ² = 0.489 is correct and we FAIL to REJECT the null hypothesis Incorrect MC

8196_0f53

Table of Chi-Squared (χ²) Critical Values
Degrees of Freedom	Probability
Degrees of Freedom	0.95	0.90	0.75	0.50	0.25	0.10	0.05	0.01
1	0.00	0.02	0.10	0.45	1.32	2.71	3.84	6.63
2	0.10	0.21	0.58	1.39	2.77	4.61	5.99	9.21
3	0.35	0.58	1.21	2.37	4.11	6.25	7.81	11.34
4	0.71	1.06	1.92	3.36	5.39	7.78	9.49	13.28

Table 1
Phenotype	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	82	^(82-90)²⁄ ₈₂	0.780
Yellow Wrinkled (Y–rr)	30	19	^(19-30)²⁄ ₁₉	6.368
Green Round (yyR–)	30	44	^(44-30)²⁄ ₄₄	4.455
Green Wrinkled (yyrr)	10	15	^(15-10)²⁄ ₁₅	1.667
(sum) χ² =				13.270

Table 2
Phenotype	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	82	^(82-90)⁄ ₉₀	-0.089
Yellow Wrinkled (Y–rr)	30	19	^(19-30)⁄ ₃₀	-0.367
Green Round (yyR–)	30	44	^(44-30)⁄ ₃₀	0.467
Green Wrinkled (yyrr)	10	15	^(15-10)⁄ ₁₀	0.500
(sum) χ² =				0.511

Table 3
Phenotype	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	82	^(82-90)²⁄ ₉₀	0.711
Yellow Wrinkled (Y–rr)	30	19	^(19-30)²⁄ ₃₀	4.033
Green Round (yyR–)	30	44	^(44-30)²⁄ ₃₀	6.533
Green Wrinkled (yyrr)	10	15	^(15-10)²⁄ ₁₀	2.500
(sum) χ² =				13.778

Before you ask your instructor for a new lab partner, tell them which table is correct AND whether they can reject or fail to reject the null hypothesis using the information provided.

Table 1 with χ² = 13.270 is correct and we REJECT the null hypothesis Incorrect Table 2 with χ² = 0.511 is correct and we REJECT the null hypothesis Incorrect Table 3 with χ² = 13.778 is correct and we REJECT the null hypothesis Correct Table 1 with χ² = 13.270 is correct and we FAIL to REJECT the null hypothesis Incorrect Table 2 with χ² = 0.511 is correct and we FAIL to REJECT the null hypothesis Incorrect Table 3 with χ² = 13.778 is correct and we FAIL to REJECT the null hypothesis Incorrect MC

a7e4_0adb

Table of Chi-Squared (χ²) Critical Values
Degrees of Freedom	Probability
Degrees of Freedom	0.95	0.90	0.75	0.50	0.25	0.10	0.05	0.01
1	0.00	0.02	0.10	0.45	1.32	2.71	3.84	6.63
2	0.10	0.21	0.58	1.39	2.77	4.61	5.99	9.21
3	0.35	0.58	1.21	2.37	4.11	6.25	7.81	11.34
4	0.71	1.06	1.92	3.36	5.39	7.78	9.49	13.28

Table 1
Phenotype	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	84	^(84-90)²⁄ ₈₄	0.429
Yellow Wrinkled (Y–rr)	30	36	^(36-30)²⁄ ₃₆	1.000
Green Round (yyR–)	30	26	^(26-30)²⁄ ₂₆	0.615
Green Wrinkled (yyrr)	10	14	^(14-10)²⁄ ₁₄	1.143
(sum) χ² =				3.187

Table 2
Phenotype	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	84	^(84-90)²⁄ _84²	0.005
Yellow Wrinkled (Y–rr)	30	36	^(36-30)²⁄ _36²	0.028
Green Round (yyR–)	30	26	^(26-30)²⁄ _26²	0.024
Green Wrinkled (yyrr)	10	14	^(14-10)²⁄ _14²	0.082
(sum) χ² =				0.138

Table 3
Phenotype	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	84	^(84-90)²⁄ ₉₀	0.400
Yellow Wrinkled (Y–rr)	30	36	^(36-30)²⁄ ₃₀	1.200
Green Round (yyR–)	30	26	^(26-30)²⁄ ₃₀	0.533
Green Wrinkled (yyrr)	10	14	^(14-10)²⁄ ₁₀	1.600
(sum) χ² =				3.733

Before you ask your instructor for a new lab partner, tell them which table is correct AND whether they can reject or fail to reject the null hypothesis using the information provided.

Table 1 with χ² = 3.187 is correct and we REJECT the null hypothesis Incorrect Table 2 with χ² = 0.138 is correct and we REJECT the null hypothesis Incorrect Table 3 with χ² = 3.733 is correct and we REJECT the null hypothesis Incorrect Table 1 with χ² = 3.187 is correct and we FAIL to REJECT the null hypothesis Incorrect Table 2 with χ² = 0.138 is correct and we FAIL to REJECT the null hypothesis Incorrect Table 3 with χ² = 3.733 is correct and we FAIL to REJECT the null hypothesis Correct MC

d92c_a731

Table of Chi-Squared (χ²) Critical Values
Degrees of Freedom	Probability
Degrees of Freedom	0.95	0.90	0.75	0.50	0.25	0.10	0.05	0.01
1	0.00	0.02	0.10	0.45	1.32	2.71	3.84	6.63
2	0.10	0.21	0.58	1.39	2.77	4.61	5.99	9.21
3	0.35	0.58	1.21	2.37	4.11	6.25	7.81	11.34
4	0.71	1.06	1.92	3.36	5.39	7.78	9.49	13.28

Table 1
Phenotype	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	86	^(86-90)⁄ ₉₀	-0.044
Yellow Wrinkled (Y–rr)	30	22	^(22-30)⁄ ₃₀	-0.267
Green Round (yyR–)	30	35	^(35-30)⁄ ₃₀	0.167
Green Wrinkled (yyrr)	10	17	^(17-10)⁄ ₁₀	0.700
(sum) χ² =				0.556

Table 2
Phenotype	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	86	^(86-90)²⁄ ₈₆	0.186
Yellow Wrinkled (Y–rr)	30	22	^(22-30)²⁄ ₂₂	2.909
Green Round (yyR–)	30	35	^(35-30)²⁄ ₃₅	0.714
Green Wrinkled (yyrr)	10	17	^(17-10)²⁄ ₁₇	2.882
(sum) χ² =				6.692

Table 3
Phenotype	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	86	^(86-90)²⁄ ₉₀	0.178
Yellow Wrinkled (Y–rr)	30	22	^(22-30)²⁄ ₃₀	2.133
Green Round (yyR–)	30	35	^(35-30)²⁄ ₃₀	0.833
Green Wrinkled (yyrr)	10	17	^(17-10)²⁄ ₁₀	4.900
(sum) χ² =				8.044

Before you ask your instructor for a new lab partner, tell them which table is correct AND whether they can reject or fail to reject the null hypothesis using the information provided.

Table 1 with χ² = 0.556 is correct and we REJECT the null hypothesis Incorrect Table 2 with χ² = 6.692 is correct and we REJECT the null hypothesis Incorrect Table 3 with χ² = 8.044 is correct and we REJECT the null hypothesis Correct Table 1 with χ² = 0.556 is correct and we FAIL to REJECT the null hypothesis Incorrect Table 2 with χ² = 6.692 is correct and we FAIL to REJECT the null hypothesis Incorrect Table 3 with χ² = 8.044 is correct and we FAIL to REJECT the null hypothesis Incorrect MC

b583_f75e

Table of Chi-Squared (χ²) Critical Values
Degrees of Freedom	Probability
Degrees of Freedom	0.95	0.90	0.75	0.50	0.25	0.10	0.05	0.01
1	0.00	0.02	0.10	0.45	1.32	2.71	3.84	6.63
2	0.10	0.21	0.58	1.39	2.77	4.61	5.99	9.21
3	0.35	0.58	1.21	2.37	4.11	6.25	7.81	11.34
4	0.71	1.06	1.92	3.36	5.39	7.78	9.49	13.28

Table 1
Phenotype	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	86	^(86-90)²⁄ ₉₀	0.178
Yellow Wrinkled (Y–rr)	30	19	^(19-30)²⁄ ₃₀	4.033
Green Round (yyR–)	30	41	^(41-30)²⁄ ₃₀	4.033
Green Wrinkled (yyrr)	10	14	^(14-10)²⁄ ₁₀	1.600
(sum) χ² =				9.844

Table 2
Phenotype	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	86	^(86-90)²⁄ ₈₆	0.186
Yellow Wrinkled (Y–rr)	30	19	^(19-30)²⁄ ₁₉	6.368
Green Round (yyR–)	30	41	^(41-30)²⁄ ₄₁	2.951
Green Wrinkled (yyrr)	10	14	^(14-10)²⁄ ₁₄	1.143
(sum) χ² =				10.649

Table 3
Phenotype	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	86	^(86-90)²⁄ _86²	0.002
Yellow Wrinkled (Y–rr)	30	19	^(19-30)²⁄ _19²	0.335
Green Round (yyR–)	30	41	^(41-30)²⁄ _41²	0.072
Green Wrinkled (yyrr)	10	14	^(14-10)²⁄ _14²	0.082
(sum) χ² =				0.491

Before you ask your instructor for a new lab partner, tell them which table is correct AND whether they can reject or fail to reject the null hypothesis using the information provided.

Table 1 with χ² = 9.844 is correct and we REJECT the null hypothesis Correct Table 2 with χ² = 10.649 is correct and we REJECT the null hypothesis Incorrect Table 3 with χ² = 0.491 is correct and we REJECT the null hypothesis Incorrect Table 1 with χ² = 9.844 is correct and we FAIL to REJECT the null hypothesis Incorrect Table 2 with χ² = 10.649 is correct and we FAIL to REJECT the null hypothesis Incorrect Table 3 with χ² = 0.491 is correct and we FAIL to REJECT the null hypothesis Incorrect MC

52cd_d859

Table of Chi-Squared (χ²) Critical Values
Degrees of Freedom	Probability
Degrees of Freedom	0.95	0.90	0.75	0.50	0.25	0.10	0.05	0.01
1	0.00	0.02	0.10	0.45	1.32	2.71	3.84	6.63
2	0.10	0.21	0.58	1.39	2.77	4.61	5.99	9.21
3	0.35	0.58	1.21	2.37	4.11	6.25	7.81	11.34
4	0.71	1.06	1.92	3.36	5.39	7.78	9.49	13.28

Table 1
Phenotype	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	80	^(80-90)²⁄ ₈₀	1.250
Yellow Wrinkled (Y–rr)	30	20	^(20-30)²⁄ ₂₀	5.000
Green Round (yyR–)	30	42	^(42-30)²⁄ ₄₂	3.429
Green Wrinkled (yyrr)	10	18	^(18-10)²⁄ ₁₈	3.556
(sum) χ² =				13.234

Table 2
Phenotype	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	80	^(80-90)²⁄ ₉₀	1.111
Yellow Wrinkled (Y–rr)	30	20	^(20-30)²⁄ ₃₀	3.333
Green Round (yyR–)	30	42	^(42-30)²⁄ ₃₀	4.800
Green Wrinkled (yyrr)	10	18	^(18-10)²⁄ ₁₀	6.400
(sum) χ² =				15.644

Table 3
Phenotype	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	80	^(80-90)⁄ ₉₀	-0.111
Yellow Wrinkled (Y–rr)	30	20	^(20-30)⁄ ₃₀	-0.333
Green Round (yyR–)	30	42	^(42-30)⁄ ₃₀	0.400
Green Wrinkled (yyrr)	10	18	^(18-10)⁄ ₁₀	0.800
(sum) χ² =				0.756

Before you ask your instructor for a new lab partner, tell them which table is correct AND whether they can reject or fail to reject the null hypothesis using the information provided.

Table 1 with χ² = 13.234 is correct and we REJECT the null hypothesis Incorrect Table 2 with χ² = 15.644 is correct and we REJECT the null hypothesis Correct Table 3 with χ² = 0.756 is correct and we REJECT the null hypothesis Incorrect Table 1 with χ² = 13.234 is correct and we FAIL to REJECT the null hypothesis Incorrect Table 2 with χ² = 15.644 is correct and we FAIL to REJECT the null hypothesis Incorrect Table 3 with χ² = 0.756 is correct and we FAIL to REJECT the null hypothesis Incorrect MC

9015_02ab

Table of Chi-Squared (χ²) Critical Values
Degrees of Freedom	Probability
Degrees of Freedom	0.95	0.90	0.75	0.50	0.25	0.10	0.05	0.01
1	0.00	0.02	0.10	0.45	1.32	2.71	3.84	6.63
2	0.10	0.21	0.58	1.39	2.77	4.61	5.99	9.21
3	0.35	0.58	1.21	2.37	4.11	6.25	7.81	11.34
4	0.71	1.06	1.92	3.36	5.39	7.78	9.49	13.28

Table 1
Phenotype	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	82	^(82-90)²⁄ _82²	0.010
Yellow Wrinkled (Y–rr)	30	21	^(21-30)²⁄ _21²	0.184
Green Round (yyR–)	30	39	^(39-30)²⁄ _39²	0.053
Green Wrinkled (yyrr)	10	18	^(18-10)²⁄ _18²	0.198
(sum) χ² =				0.444

Table 2
Phenotype	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	82	^(82-90)⁄ ₉₀	-0.089
Yellow Wrinkled (Y–rr)	30	21	^(21-30)⁄ ₃₀	-0.300
Green Round (yyR–)	30	39	^(39-30)⁄ ₃₀	0.300
Green Wrinkled (yyrr)	10	18	^(18-10)⁄ ₁₀	0.800
(sum) χ² =				0.711

Table 3
Phenotype	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	82	^(82-90)²⁄ ₉₀	0.711
Yellow Wrinkled (Y–rr)	30	21	^(21-30)²⁄ ₃₀	2.700
Green Round (yyR–)	30	39	^(39-30)²⁄ ₃₀	2.700
Green Wrinkled (yyrr)	10	18	^(18-10)²⁄ ₁₀	6.400
(sum) χ² =				12.511

Before you ask your instructor for a new lab partner, tell them which table is correct AND whether they can reject or fail to reject the null hypothesis using the information provided.

Table 1 with χ² = 0.444 is correct and we REJECT the null hypothesis Incorrect Table 2 with χ² = 0.711 is correct and we REJECT the null hypothesis Incorrect Table 3 with χ² = 12.511 is correct and we REJECT the null hypothesis Correct Table 1 with χ² = 0.444 is correct and we FAIL to REJECT the null hypothesis Incorrect Table 2 with χ² = 0.711 is correct and we FAIL to REJECT the null hypothesis Incorrect Table 3 with χ² = 12.511 is correct and we FAIL to REJECT the null hypothesis Incorrect MC

d761_0201

Table of Chi-Squared (χ²) Critical Values
Degrees of Freedom	Probability
Degrees of Freedom	0.95	0.90	0.75	0.50	0.25	0.10	0.05	0.01
1	0.00	0.02	0.10	0.45	1.32	2.71	3.84	6.63
2	0.10	0.21	0.58	1.39	2.77	4.61	5.99	9.21
3	0.35	0.58	1.21	2.37	4.11	6.25	7.81	11.34
4	0.71	1.06	1.92	3.36	5.39	7.78	9.49	13.28

Table 1
Phenotype	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	93	^(93-90)²⁄ ₉₃	0.097
Yellow Wrinkled (Y–rr)	30	23	^(23-30)²⁄ ₂₃	2.130
Green Round (yyR–)	30	31	^(31-30)²⁄ ₃₁	0.032
Green Wrinkled (yyrr)	10	13	^(13-10)²⁄ ₁₃	0.692
(sum) χ² =				2.952

Table 2
Phenotype	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	93	^(93-90)²⁄ ₉₀	0.100
Yellow Wrinkled (Y–rr)	30	23	^(23-30)²⁄ ₃₀	1.633
Green Round (yyR–)	30	31	^(31-30)²⁄ ₃₀	0.033
Green Wrinkled (yyrr)	10	13	^(13-10)²⁄ ₁₀	0.900
(sum) χ² =				2.667

Table 3
Phenotype	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	93	^(93-90)⁄ ₉₀	0.033
Yellow Wrinkled (Y–rr)	30	23	^(23-30)⁄ ₃₀	-0.233
Green Round (yyR–)	30	31	^(31-30)⁄ ₃₀	0.033
Green Wrinkled (yyrr)	10	13	^(13-10)⁄ ₁₀	0.300
(sum) χ² =				0.133

Before you ask your instructor for a new lab partner, tell them which table is correct AND whether they can reject or fail to reject the null hypothesis using the information provided.

Table 1 with χ² = 2.952 is correct and we REJECT the null hypothesis Incorrect Table 2 with χ² = 2.667 is correct and we REJECT the null hypothesis Incorrect Table 3 with χ² = 0.133 is correct and we REJECT the null hypothesis Incorrect Table 1 with χ² = 2.952 is correct and we FAIL to REJECT the null hypothesis Incorrect Table 2 with χ² = 2.667 is correct and we FAIL to REJECT the null hypothesis Correct Table 3 with χ² = 0.133 is correct and we FAIL to REJECT the null hypothesis Incorrect MC

cd4b_66f3

Table of Chi-Squared (χ²) Critical Values
Degrees of Freedom	Probability
Degrees of Freedom	0.95	0.90	0.75	0.50	0.25	0.10	0.05	0.01
1	0.00	0.02	0.10	0.45	1.32	2.71	3.84	6.63
2	0.10	0.21	0.58	1.39	2.77	4.61	5.99	9.21
3	0.35	0.58	1.21	2.37	4.11	6.25	7.81	11.34
4	0.71	1.06	1.92	3.36	5.39	7.78	9.49	13.28

Table 1
Phenotype	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	77	^(77-90)⁄ ₉₀	-0.144
Yellow Wrinkled (Y–rr)	30	14	^(14-30)⁄ ₃₀	-0.533
Green Round (yyR–)	30	50	^(50-30)⁄ ₃₀	0.667
Green Wrinkled (yyrr)	10	19	^(19-10)⁄ ₁₀	0.900
(sum) χ² =				0.889

Table 2
Phenotype	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	77	^(77-90)²⁄ ₉₀	1.878
Yellow Wrinkled (Y–rr)	30	14	^(14-30)²⁄ ₃₀	8.533
Green Round (yyR–)	30	50	^(50-30)²⁄ ₃₀	13.333
Green Wrinkled (yyrr)	10	19	^(19-10)²⁄ ₁₀	8.100
(sum) χ² =				31.844

Table 3
Phenotype	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	77	^(77-90)²⁄ _77²	0.029
Yellow Wrinkled (Y–rr)	30	14	^(14-30)²⁄ _14²	1.306
Green Round (yyR–)	30	50	^(50-30)²⁄ _50²	0.160
Green Wrinkled (yyrr)	10	19	^(19-10)²⁄ _19²	0.224
(sum) χ² =				1.719

Before you ask your instructor for a new lab partner, tell them which table is correct AND whether they can reject or fail to reject the null hypothesis using the information provided.

Table 1 with χ² = 0.889 is correct and we REJECT the null hypothesis Incorrect Table 2 with χ² = 31.844 is correct and we REJECT the null hypothesis Correct Table 3 with χ² = 1.719 is correct and we REJECT the null hypothesis Incorrect Table 1 with χ² = 0.889 is correct and we FAIL to REJECT the null hypothesis Incorrect Table 2 with χ² = 31.844 is correct and we FAIL to REJECT the null hypothesis Incorrect Table 3 with χ² = 1.719 is correct and we FAIL to REJECT the null hypothesis Incorrect MC

d0b4_a851

Table of Chi-Squared (χ²) Critical Values
Degrees of Freedom	Probability
Degrees of Freedom	0.95	0.90	0.75	0.50	0.25	0.10	0.05	0.01
1	0.00	0.02	0.10	0.45	1.32	2.71	3.84	6.63
2	0.10	0.21	0.58	1.39	2.77	4.61	5.99	9.21
3	0.35	0.58	1.21	2.37	4.11	6.25	7.81	11.34
4	0.71	1.06	1.92	3.36	5.39	7.78	9.49	13.28

Table 1
Phenotype	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	87	^(87-90)²⁄ _87²	0.001
Yellow Wrinkled (Y–rr)	30	29	^(29-30)²⁄ _29²	0.001
Green Round (yyR–)	30	31	^(31-30)²⁄ _31²	0.001
Green Wrinkled (yyrr)	10	13	^(13-10)²⁄ _13²	0.053
(sum) χ² =				0.057

Table 2
Phenotype	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	87	^(87-90)⁄ ₉₀	-0.033
Yellow Wrinkled (Y–rr)	30	29	^(29-30)⁄ ₃₀	-0.033
Green Round (yyR–)	30	31	^(31-30)⁄ ₃₀	0.033
Green Wrinkled (yyrr)	10	13	^(13-10)⁄ ₁₀	0.300
(sum) χ² =				0.267

Table 3
Phenotype	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	87	^(87-90)²⁄ ₉₀	0.100
Yellow Wrinkled (Y–rr)	30	29	^(29-30)²⁄ ₃₀	0.033
Green Round (yyR–)	30	31	^(31-30)²⁄ ₃₀	0.033
Green Wrinkled (yyrr)	10	13	^(13-10)²⁄ ₁₀	0.900
(sum) χ² =				1.067

Before you ask your instructor for a new lab partner, tell them which table is correct AND whether they can reject or fail to reject the null hypothesis using the information provided.

Table 1 with χ² = 0.057 is correct and we REJECT the null hypothesis Incorrect Table 2 with χ² = 0.267 is correct and we REJECT the null hypothesis Incorrect Table 3 with χ² = 1.067 is correct and we REJECT the null hypothesis Incorrect Table 1 with χ² = 0.057 is correct and we FAIL to REJECT the null hypothesis Incorrect Table 2 with χ² = 0.267 is correct and we FAIL to REJECT the null hypothesis Incorrect Table 3 with χ² = 1.067 is correct and we FAIL to REJECT the null hypothesis Correct MC

f0ea_97f8

Table of Chi-Squared (χ²) Critical Values
Degrees of Freedom	Probability
Degrees of Freedom	0.95	0.90	0.75	0.50	0.25	0.10	0.05	0.01
1	0.00	0.02	0.10	0.45	1.32	2.71	3.84	6.63
2	0.10	0.21	0.58	1.39	2.77	4.61	5.99	9.21
3	0.35	0.58	1.21	2.37	4.11	6.25	7.81	11.34
4	0.71	1.06	1.92	3.36	5.39	7.78	9.49	13.28

Table 1
Phenotype	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	86	^(86-90)²⁄ ₈₆	0.186
Yellow Wrinkled (Y–rr)	30	17	^(17-30)²⁄ ₁₇	9.941
Green Round (yyR–)	30	39	^(39-30)²⁄ ₃₉	2.077
Green Wrinkled (yyrr)	10	18	^(18-10)²⁄ ₁₈	3.556
(sum) χ² =				15.760

Table 2
Phenotype	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	86	^(86-90)⁄ ₉₀	-0.044
Yellow Wrinkled (Y–rr)	30	17	^(17-30)⁄ ₃₀	-0.433
Green Round (yyR–)	30	39	^(39-30)⁄ ₃₀	0.300
Green Wrinkled (yyrr)	10	18	^(18-10)⁄ ₁₀	0.800
(sum) χ² =				0.622

Table 3
Phenotype	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	86	^(86-90)²⁄ ₉₀	0.178
Yellow Wrinkled (Y–rr)	30	17	^(17-30)²⁄ ₃₀	5.633
Green Round (yyR–)	30	39	^(39-30)²⁄ ₃₀	2.700
Green Wrinkled (yyrr)	10	18	^(18-10)²⁄ ₁₀	6.400
(sum) χ² =				14.911

Before you ask your instructor for a new lab partner, tell them which table is correct AND whether they can reject or fail to reject the null hypothesis using the information provided.

Table 1 with χ² = 15.760 is correct and we REJECT the null hypothesis Incorrect Table 2 with χ² = 0.622 is correct and we REJECT the null hypothesis Incorrect Table 3 with χ² = 14.911 is correct and we REJECT the null hypothesis Correct Table 1 with χ² = 15.760 is correct and we FAIL to REJECT the null hypothesis Incorrect Table 2 with χ² = 0.622 is correct and we FAIL to REJECT the null hypothesis Incorrect Table 3 with χ² = 14.911 is correct and we FAIL to REJECT the null hypothesis Incorrect MC

7f25_a644

Table of Chi-Squared (χ²) Critical Values
Degrees of Freedom	Probability
Degrees of Freedom	0.95	0.90	0.75	0.50	0.25	0.10	0.05	0.01
1	0.00	0.02	0.10	0.45	1.32	2.71	3.84	6.63
2	0.10	0.21	0.58	1.39	2.77	4.61	5.99	9.21
3	0.35	0.58	1.21	2.37	4.11	6.25	7.81	11.34
4	0.71	1.06	1.92	3.36	5.39	7.78	9.49	13.28

Table 1
Phenotype	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	84	^(84-90)²⁄ ₉₀	0.400
Yellow Wrinkled (Y–rr)	30	23	^(23-30)²⁄ ₃₀	1.633
Green Round (yyR–)	30	36	^(36-30)²⁄ ₃₀	1.200
Green Wrinkled (yyrr)	10	17	^(17-10)²⁄ ₁₀	4.900
(sum) χ² =				8.133

Table 2
Phenotype	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	84	^(84-90)²⁄ _84²	0.005
Yellow Wrinkled (Y–rr)	30	23	^(23-30)²⁄ _23²	0.093
Green Round (yyR–)	30	36	^(36-30)²⁄ _36²	0.028
Green Wrinkled (yyrr)	10	17	^(17-10)²⁄ _17²	0.170
(sum) χ² =				0.295

Table 3
Phenotype	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	84	^(84-90)²⁄ ₈₄	0.429
Yellow Wrinkled (Y–rr)	30	23	^(23-30)²⁄ ₂₃	2.130
Green Round (yyR–)	30	36	^(36-30)²⁄ ₃₆	1.000
Green Wrinkled (yyrr)	10	17	^(17-10)²⁄ ₁₇	2.882
(sum) χ² =				6.441

Before you ask your instructor for a new lab partner, tell them which table is correct AND whether they can reject or fail to reject the null hypothesis using the information provided.

Table 1 with χ² = 8.133 is correct and we REJECT the null hypothesis Correct Table 2 with χ² = 0.295 is correct and we REJECT the null hypothesis Incorrect Table 3 with χ² = 6.441 is correct and we REJECT the null hypothesis Incorrect Table 1 with χ² = 8.133 is correct and we FAIL to REJECT the null hypothesis Incorrect Table 2 with χ² = 0.295 is correct and we FAIL to REJECT the null hypothesis Incorrect Table 3 with χ² = 6.441 is correct and we FAIL to REJECT the null hypothesis Incorrect MC

ec87_6e61

Table of Chi-Squared (χ²) Critical Values
Degrees of Freedom	Probability
Degrees of Freedom	0.95	0.90	0.75	0.50	0.25	0.10	0.05	0.01
1	0.00	0.02	0.10	0.45	1.32	2.71	3.84	6.63
2	0.10	0.21	0.58	1.39	2.77	4.61	5.99	9.21
3	0.35	0.58	1.21	2.37	4.11	6.25	7.81	11.34
4	0.71	1.06	1.92	3.36	5.39	7.78	9.49	13.28

Table 1
Phenotype	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	74	^(74-90)²⁄ _74²	0.047
Yellow Wrinkled (Y–rr)	30	24	^(24-30)²⁄ _24²	0.062
Green Round (yyR–)	30	44	^(44-30)²⁄ _44²	0.101
Green Wrinkled (yyrr)	10	18	^(18-10)²⁄ _18²	0.198
(sum) χ² =				0.408

Table 2
Phenotype	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	74	^(74-90)⁄ ₉₀	-0.178
Yellow Wrinkled (Y–rr)	30	24	^(24-30)⁄ ₃₀	-0.200
Green Round (yyR–)	30	44	^(44-30)⁄ ₃₀	0.467
Green Wrinkled (yyrr)	10	18	^(18-10)⁄ ₁₀	0.800
(sum) χ² =				0.889

Table 3
Phenotype	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	74	^(74-90)²⁄ ₉₀	2.844
Yellow Wrinkled (Y–rr)	30	24	^(24-30)²⁄ ₃₀	1.200
Green Round (yyR–)	30	44	^(44-30)²⁄ ₃₀	6.533
Green Wrinkled (yyrr)	10	18	^(18-10)²⁄ ₁₀	6.400
(sum) χ² =				16.978

Before you ask your instructor for a new lab partner, tell them which table is correct AND whether they can reject or fail to reject the null hypothesis using the information provided.

Table 1 with χ² = 0.408 is correct and we REJECT the null hypothesis Incorrect Table 2 with χ² = 0.889 is correct and we REJECT the null hypothesis Incorrect Table 3 with χ² = 16.978 is correct and we REJECT the null hypothesis Correct Table 1 with χ² = 0.408 is correct and we FAIL to REJECT the null hypothesis Incorrect Table 2 with χ² = 0.889 is correct and we FAIL to REJECT the null hypothesis Incorrect Table 3 with χ² = 16.978 is correct and we FAIL to REJECT the null hypothesis Incorrect MC

37a7_7df5

Table of Chi-Squared (χ²) Critical Values
Degrees of Freedom	Probability
Degrees of Freedom	0.95	0.90	0.75	0.50	0.25	0.10	0.05	0.01
1	0.00	0.02	0.10	0.45	1.32	2.71	3.84	6.63
2	0.10	0.21	0.58	1.39	2.77	4.61	5.99	9.21
3	0.35	0.58	1.21	2.37	4.11	6.25	7.81	11.34
4	0.71	1.06	1.92	3.36	5.39	7.78	9.49	13.28

Table 1
Phenotype	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	80	^(80-90)⁄ ₉₀	-0.111
Yellow Wrinkled (Y–rr)	30	37	^(37-30)⁄ ₃₀	0.233
Green Round (yyR–)	30	35	^(35-30)⁄ ₃₀	0.167
Green Wrinkled (yyrr)	10	8	^(8-10)⁄ ₁₀	-0.200
(sum) χ² =				0.089

Table 2
Phenotype	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	80	^(80-90)²⁄ _80²	0.016
Yellow Wrinkled (Y–rr)	30	37	^(37-30)²⁄ _37²	0.036
Green Round (yyR–)	30	35	^(35-30)²⁄ _35²	0.020
Green Wrinkled (yyrr)	10	8	^(8-10)²⁄ _8²	0.062
(sum) χ² =				0.134

Table 3
Phenotype	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	80	^(80-90)²⁄ ₉₀	1.111
Yellow Wrinkled (Y–rr)	30	37	^(37-30)²⁄ ₃₀	1.633
Green Round (yyR–)	30	35	^(35-30)²⁄ ₃₀	0.833
Green Wrinkled (yyrr)	10	8	^(8-10)²⁄ ₁₀	0.400
(sum) χ² =				3.978

Before you ask your instructor for a new lab partner, tell them which table is correct AND whether they can reject or fail to reject the null hypothesis using the information provided.

Table 1 with χ² = 0.089 is correct and we REJECT the null hypothesis Incorrect Table 2 with χ² = 0.134 is correct and we REJECT the null hypothesis Incorrect Table 3 with χ² = 3.978 is correct and we REJECT the null hypothesis Incorrect Table 1 with χ² = 0.089 is correct and we FAIL to REJECT the null hypothesis Incorrect Table 2 with χ² = 0.134 is correct and we FAIL to REJECT the null hypothesis Incorrect Table 3 with χ² = 3.978 is correct and we FAIL to REJECT the null hypothesis Correct MC

2cda_a06c

Table of Chi-Squared (χ²) Critical Values
Degrees of Freedom	Probability
Degrees of Freedom	0.95	0.90	0.75	0.50	0.25	0.10	0.05	0.01
1	0.00	0.02	0.10	0.45	1.32	2.71	3.84	6.63
2	0.10	0.21	0.58	1.39	2.77	4.61	5.99	9.21
3	0.35	0.58	1.21	2.37	4.11	6.25	7.81	11.34
4	0.71	1.06	1.92	3.36	5.39	7.78	9.49	13.28

Table 1
Phenotype	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	94	^(94-90)²⁄ _94²	0.002
Yellow Wrinkled (Y–rr)	30	28	^(28-30)²⁄ _28²	0.005
Green Round (yyR–)	30	30	^(30-30)²⁄ _30²	0.000
Green Wrinkled (yyrr)	10	8	^(8-10)²⁄ _8²	0.062
(sum) χ² =				0.069

Table 2
Phenotype	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	94	^(94-90)²⁄ ₉₀	0.178
Yellow Wrinkled (Y–rr)	30	28	^(28-30)²⁄ ₃₀	0.133
Green Round (yyR–)	30	30	^(30-30)²⁄ ₃₀	0.000
Green Wrinkled (yyrr)	10	8	^(8-10)²⁄ ₁₀	0.400
(sum) χ² =				0.711

Table 3
Phenotype	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	94	^(94-90)⁄ ₉₀	0.044
Yellow Wrinkled (Y–rr)	30	28	^(28-30)⁄ ₃₀	-0.067
Green Round (yyR–)	30	30	^(30-30)⁄ ₃₀	0.000
Green Wrinkled (yyrr)	10	8	^(8-10)⁄ ₁₀	-0.200
(sum) χ² =				-0.222

Before you ask your instructor for a new lab partner, tell them which table is correct AND whether they can reject or fail to reject the null hypothesis using the information provided.

Table 1 with χ² = 0.069 is correct and we REJECT the null hypothesis Incorrect Table 2 with χ² = 0.711 is correct and we REJECT the null hypothesis Incorrect Table 3 with χ² = -0.222 is correct and we REJECT the null hypothesis Incorrect Table 1 with χ² = 0.069 is correct and we FAIL to REJECT the null hypothesis Incorrect Table 2 with χ² = 0.711 is correct and we FAIL to REJECT the null hypothesis Correct Table 3 with χ² = -0.222 is correct and we FAIL to REJECT the null hypothesis Incorrect MC

f2df_3033

Table of Chi-Squared (χ²) Critical Values
Degrees of Freedom	Probability
Degrees of Freedom	0.95	0.90	0.75	0.50	0.25	0.10	0.05	0.01
1	0.00	0.02	0.10	0.45	1.32	2.71	3.84	6.63
2	0.10	0.21	0.58	1.39	2.77	4.61	5.99	9.21
3	0.35	0.58	1.21	2.37	4.11	6.25	7.81	11.34
4	0.71	1.06	1.92	3.36	5.39	7.78	9.49	13.28

Table 1
Phenotype	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	83	^(83-90)²⁄ ₈₃	0.590
Yellow Wrinkled (Y–rr)	30	28	^(28-30)²⁄ ₂₈	0.143
Green Round (yyR–)	30	37	^(37-30)²⁄ ₃₇	1.324
Green Wrinkled (yyrr)	10	12	^(12-10)²⁄ ₁₂	0.333
(sum) χ² =				2.391

Table 2
Phenotype	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	83	^(83-90)⁄ ₉₀	-0.078
Yellow Wrinkled (Y–rr)	30	28	^(28-30)⁄ ₃₀	-0.067
Green Round (yyR–)	30	37	^(37-30)⁄ ₃₀	0.233
Green Wrinkled (yyrr)	10	12	^(12-10)⁄ ₁₀	0.200
(sum) χ² =				0.289

Table 3
Phenotype	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	83	^(83-90)²⁄ ₉₀	0.544
Yellow Wrinkled (Y–rr)	30	28	^(28-30)²⁄ ₃₀	0.133
Green Round (yyR–)	30	37	^(37-30)²⁄ ₃₀	1.633
Green Wrinkled (yyrr)	10	12	^(12-10)²⁄ ₁₀	0.400
(sum) χ² =				2.711

Before you ask your instructor for a new lab partner, tell them which table is correct AND whether they can reject or fail to reject the null hypothesis using the information provided.

Table 1 with χ² = 2.391 is correct and we REJECT the null hypothesis Incorrect Table 2 with χ² = 0.289 is correct and we REJECT the null hypothesis Incorrect Table 3 with χ² = 2.711 is correct and we REJECT the null hypothesis Incorrect Table 1 with χ² = 2.391 is correct and we FAIL to REJECT the null hypothesis Incorrect Table 2 with χ² = 0.289 is correct and we FAIL to REJECT the null hypothesis Incorrect Table 3 with χ² = 2.711 is correct and we FAIL to REJECT the null hypothesis Correct MC

99dc_f4b5

Table of Chi-Squared (χ²) Critical Values
Degrees of Freedom	Probability
Degrees of Freedom	0.95	0.90	0.75	0.50	0.25	0.10	0.05	0.01
1	0.00	0.02	0.10	0.45	1.32	2.71	3.84	6.63
2	0.10	0.21	0.58	1.39	2.77	4.61	5.99	9.21
3	0.35	0.58	1.21	2.37	4.11	6.25	7.81	11.34
4	0.71	1.06	1.92	3.36	5.39	7.78	9.49	13.28

Table 1
Phenotype	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	85	^(85-90)²⁄ ₉₀	0.278
Yellow Wrinkled (Y–rr)	30	15	^(15-30)²⁄ ₃₀	7.500
Green Round (yyR–)	30	41	^(41-30)²⁄ ₃₀	4.033
Green Wrinkled (yyrr)	10	19	^(19-10)²⁄ ₁₀	8.100
(sum) χ² =				19.911

Table 2
Phenotype	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	85	^(85-90)²⁄ _85²	0.003
Yellow Wrinkled (Y–rr)	30	15	^(15-30)²⁄ _15²	1.000
Green Round (yyR–)	30	41	^(41-30)²⁄ _41²	0.072
Green Wrinkled (yyrr)	10	19	^(19-10)²⁄ _19²	0.224
(sum) χ² =				1.300

Table 3
Phenotype	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	85	^(85-90)²⁄ ₈₅	0.294
Yellow Wrinkled (Y–rr)	30	15	^(15-30)²⁄ ₁₅	15.000
Green Round (yyR–)	30	41	^(41-30)²⁄ ₄₁	2.951
Green Wrinkled (yyrr)	10	19	^(19-10)²⁄ ₁₉	4.263
(sum) χ² =				22.508

Before you ask your instructor for a new lab partner, tell them which table is correct AND whether they can reject or fail to reject the null hypothesis using the information provided.

Table 1 with χ² = 19.911 is correct and we REJECT the null hypothesis Correct Table 2 with χ² = 1.300 is correct and we REJECT the null hypothesis Incorrect Table 3 with χ² = 22.508 is correct and we REJECT the null hypothesis Incorrect Table 1 with χ² = 19.911 is correct and we FAIL to REJECT the null hypothesis Incorrect Table 2 with χ² = 1.300 is correct and we FAIL to REJECT the null hypothesis Incorrect Table 3 with χ² = 22.508 is correct and we FAIL to REJECT the null hypothesis Incorrect MC

3009_0078

Table of Chi-Squared (χ²) Critical Values
Degrees of Freedom	Probability
Degrees of Freedom	0.95	0.90	0.75	0.50	0.25	0.10	0.05	0.01
1	0.00	0.02	0.10	0.45	1.32	2.71	3.84	6.63
2	0.10	0.21	0.58	1.39	2.77	4.61	5.99	9.21
3	0.35	0.58	1.21	2.37	4.11	6.25	7.81	11.34
4	0.71	1.06	1.92	3.36	5.39	7.78	9.49	13.28

Table 1
Phenotype	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	77	^(77-90)²⁄ ₉₀	1.878
Yellow Wrinkled (Y–rr)	30	35	^(35-30)²⁄ ₃₀	0.833
Green Round (yyR–)	30	40	^(40-30)²⁄ ₃₀	3.333
Green Wrinkled (yyrr)	10	8	^(8-10)²⁄ ₁₀	0.400
(sum) χ² =				6.444

Table 2
Phenotype	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	77	^(77-90)⁄ ₉₀	-0.144
Yellow Wrinkled (Y–rr)	30	35	^(35-30)⁄ ₃₀	0.167
Green Round (yyR–)	30	40	^(40-30)⁄ ₃₀	0.333
Green Wrinkled (yyrr)	10	8	^(8-10)⁄ ₁₀	-0.200
(sum) χ² =				0.156

Table 3
Phenotype	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	77	^(77-90)²⁄ _77²	0.029
Yellow Wrinkled (Y–rr)	30	35	^(35-30)²⁄ _35²	0.020
Green Round (yyR–)	30	40	^(40-30)²⁄ _40²	0.062
Green Wrinkled (yyrr)	10	8	^(8-10)²⁄ _8²	0.062
(sum) χ² =				0.174

Before you ask your instructor for a new lab partner, tell them which table is correct AND whether they can reject or fail to reject the null hypothesis using the information provided.

Table 1 with χ² = 6.444 is correct and we REJECT the null hypothesis Incorrect Table 2 with χ² = 0.156 is correct and we REJECT the null hypothesis Incorrect Table 3 with χ² = 0.174 is correct and we REJECT the null hypothesis Incorrect Table 1 with χ² = 6.444 is correct and we FAIL to REJECT the null hypothesis Correct Table 2 with χ² = 0.156 is correct and we FAIL to REJECT the null hypothesis Incorrect Table 3 with χ² = 0.174 is correct and we FAIL to REJECT the null hypothesis Incorrect MC

9b16_d07f

Table of Chi-Squared (χ²) Critical Values
Degrees of Freedom	Probability
Degrees of Freedom	0.95	0.90	0.75	0.50	0.25	0.10	0.05	0.01
1	0.00	0.02	0.10	0.45	1.32	2.71	3.84	6.63
2	0.10	0.21	0.58	1.39	2.77	4.61	5.99	9.21
3	0.35	0.58	1.21	2.37	4.11	6.25	7.81	11.34
4	0.71	1.06	1.92	3.36	5.39	7.78	9.49	13.28

Table 1
Phenotype	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	86	^(86-90)²⁄ ₈₆	0.186
Yellow Wrinkled (Y–rr)	30	42	^(42-30)²⁄ ₄₂	3.429
Green Round (yyR–)	30	24	^(24-30)²⁄ ₂₄	1.500
Green Wrinkled (yyrr)	10	8	^(8-10)²⁄ ₈	0.500
(sum) χ² =				5.615

Table 2
Phenotype	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	86	^(86-90)⁄ ₉₀	-0.044
Yellow Wrinkled (Y–rr)	30	42	^(42-30)⁄ ₃₀	0.400
Green Round (yyR–)	30	24	^(24-30)⁄ ₃₀	-0.200
Green Wrinkled (yyrr)	10	8	^(8-10)⁄ ₁₀	-0.200
(sum) χ² =				-0.044

Table 3
Phenotype	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	86	^(86-90)²⁄ ₉₀	0.178
Yellow Wrinkled (Y–rr)	30	42	^(42-30)²⁄ ₃₀	4.800
Green Round (yyR–)	30	24	^(24-30)²⁄ ₃₀	1.200
Green Wrinkled (yyrr)	10	8	^(8-10)²⁄ ₁₀	0.400
(sum) χ² =				6.578

Before you ask your instructor for a new lab partner, tell them which table is correct AND whether they can reject or fail to reject the null hypothesis using the information provided.

Table 1 with χ² = 5.615 is correct and we REJECT the null hypothesis Incorrect Table 2 with χ² = -0.044 is correct and we REJECT the null hypothesis Incorrect Table 3 with χ² = 6.578 is correct and we REJECT the null hypothesis Incorrect Table 1 with χ² = 5.615 is correct and we FAIL to REJECT the null hypothesis Incorrect Table 2 with χ² = -0.044 is correct and we FAIL to REJECT the null hypothesis Incorrect Table 3 with χ² = 6.578 is correct and we FAIL to REJECT the null hypothesis Correct MC

83ae_fae4

Table of Chi-Squared (χ²) Critical Values
Degrees of Freedom	Probability
Degrees of Freedom	0.95	0.90	0.75	0.50	0.25	0.10	0.05	0.01
1	0.00	0.02	0.10	0.45	1.32	2.71	3.84	6.63
2	0.10	0.21	0.58	1.39	2.77	4.61	5.99	9.21
3	0.35	0.58	1.21	2.37	4.11	6.25	7.81	11.34
4	0.71	1.06	1.92	3.36	5.39	7.78	9.49	13.28

Table 1
Phenotype	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	101	^(101-90)²⁄ _101²	0.012
Yellow Wrinkled (Y–rr)	30	31	^(31-30)²⁄ _31²	0.001
Green Round (yyR–)	30	23	^(23-30)²⁄ _23²	0.093
Green Wrinkled (yyrr)	10	5	^(5-10)²⁄ _5²	1.000
(sum) χ² =				1.106

Table 2
Phenotype	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	101	^(101-90)²⁄ ₉₀	1.344
Yellow Wrinkled (Y–rr)	30	31	^(31-30)²⁄ ₃₀	0.033
Green Round (yyR–)	30	23	^(23-30)²⁄ ₃₀	1.633
Green Wrinkled (yyrr)	10	5	^(5-10)²⁄ ₁₀	2.500
(sum) χ² =				5.511

Table 3
Phenotype	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	101	^(101-90)⁄ ₉₀	0.122
Yellow Wrinkled (Y–rr)	30	31	^(31-30)⁄ ₃₀	0.033
Green Round (yyR–)	30	23	^(23-30)⁄ ₃₀	-0.233
Green Wrinkled (yyrr)	10	5	^(5-10)⁄ ₁₀	-0.500
(sum) χ² =				-0.578

Before you ask your instructor for a new lab partner, tell them which table is correct AND whether they can reject or fail to reject the null hypothesis using the information provided.

Table 1 with χ² = 1.106 is correct and we REJECT the null hypothesis Incorrect Table 2 with χ² = 5.511 is correct and we REJECT the null hypothesis Incorrect Table 3 with χ² = -0.578 is correct and we REJECT the null hypothesis Incorrect Table 1 with χ² = 1.106 is correct and we FAIL to REJECT the null hypothesis Incorrect Table 2 with χ² = 5.511 is correct and we FAIL to REJECT the null hypothesis Correct Table 3 with χ² = -0.578 is correct and we FAIL to REJECT the null hypothesis Incorrect MC

5766_d7a6

Table of Chi-Squared (χ²) Critical Values
Degrees of Freedom	Probability
Degrees of Freedom	0.95	0.90	0.75	0.50	0.25	0.10	0.05	0.01
1	0.00	0.02	0.10	0.45	1.32	2.71	3.84	6.63
2	0.10	0.21	0.58	1.39	2.77	4.61	5.99	9.21
3	0.35	0.58	1.21	2.37	4.11	6.25	7.81	11.34
4	0.71	1.06	1.92	3.36	5.39	7.78	9.49	13.28

Table 1
Phenotype	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	83	^(83-90)²⁄ ₉₀	0.544
Yellow Wrinkled (Y–rr)	30	22	^(22-30)²⁄ ₃₀	2.133
Green Round (yyR–)	30	43	^(43-30)²⁄ ₃₀	5.633
Green Wrinkled (yyrr)	10	12	^(12-10)²⁄ ₁₀	0.400
(sum) χ² =				8.711

Table 2
Phenotype	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	83	^(83-90)²⁄ _83²	0.007
Yellow Wrinkled (Y–rr)	30	22	^(22-30)²⁄ _22²	0.132
Green Round (yyR–)	30	43	^(43-30)²⁄ _43²	0.091
Green Wrinkled (yyrr)	10	12	^(12-10)²⁄ _12²	0.028
(sum) χ² =				0.259

Table 3
Phenotype	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	83	^(83-90)⁄ ₉₀	-0.078
Yellow Wrinkled (Y–rr)	30	22	^(22-30)⁄ ₃₀	-0.267
Green Round (yyR–)	30	43	^(43-30)⁄ ₃₀	0.433
Green Wrinkled (yyrr)	10	12	^(12-10)⁄ ₁₀	0.200
(sum) χ² =				0.289

Before you ask your instructor for a new lab partner, tell them which table is correct AND whether they can reject or fail to reject the null hypothesis using the information provided.

Table 1 with χ² = 8.711 is correct and we REJECT the null hypothesis Correct Table 2 with χ² = 0.259 is correct and we REJECT the null hypothesis Incorrect Table 3 with χ² = 0.289 is correct and we REJECT the null hypothesis Incorrect Table 1 with χ² = 8.711 is correct and we FAIL to REJECT the null hypothesis Incorrect Table 2 with χ² = 0.259 is correct and we FAIL to REJECT the null hypothesis Incorrect Table 3 with χ² = 0.289 is correct and we FAIL to REJECT the null hypothesis Incorrect MC

ceb4_d448

Table of Chi-Squared (χ²) Critical Values
Degrees of Freedom	Probability
Degrees of Freedom	0.95	0.90	0.75	0.50	0.25	0.10	0.05	0.01
1	0.00	0.02	0.10	0.45	1.32	2.71	3.84	6.63
2	0.10	0.21	0.58	1.39	2.77	4.61	5.99	9.21
3	0.35	0.58	1.21	2.37	4.11	6.25	7.81	11.34
4	0.71	1.06	1.92	3.36	5.39	7.78	9.49	13.28

Table 1
Phenotype	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	82	^(82-90)²⁄ ₉₀	0.711
Yellow Wrinkled (Y–rr)	30	24	^(24-30)²⁄ ₃₀	1.200
Green Round (yyR–)	30	38	^(38-30)²⁄ ₃₀	2.133
Green Wrinkled (yyrr)	10	16	^(16-10)²⁄ ₁₀	3.600
(sum) χ² =				7.644

Table 2
Phenotype	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	82	^(82-90)⁄ ₉₀	-0.089
Yellow Wrinkled (Y–rr)	30	24	^(24-30)⁄ ₃₀	-0.200
Green Round (yyR–)	30	38	^(38-30)⁄ ₃₀	0.267
Green Wrinkled (yyrr)	10	16	^(16-10)⁄ ₁₀	0.600
(sum) χ² =				0.578

Table 3
Phenotype	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	82	^(82-90)²⁄ ₈₂	0.780
Yellow Wrinkled (Y–rr)	30	24	^(24-30)²⁄ ₂₄	1.500
Green Round (yyR–)	30	38	^(38-30)²⁄ ₃₈	1.684
Green Wrinkled (yyrr)	10	16	^(16-10)²⁄ ₁₆	2.250
(sum) χ² =				6.215

Before you ask your instructor for a new lab partner, tell them which table is correct AND whether they can reject or fail to reject the null hypothesis using the information provided.

Table 1 with χ² = 7.644 is correct and we REJECT the null hypothesis Incorrect Table 2 with χ² = 0.578 is correct and we REJECT the null hypothesis Incorrect Table 3 with χ² = 6.215 is correct and we REJECT the null hypothesis Incorrect Table 1 with χ² = 7.644 is correct and we FAIL to REJECT the null hypothesis Correct Table 2 with χ² = 0.578 is correct and we FAIL to REJECT the null hypothesis Incorrect Table 3 with χ² = 6.215 is correct and we FAIL to REJECT the null hypothesis Incorrect MC

1e4d_eede

Table of Chi-Squared (χ²) Critical Values
Degrees of Freedom	Probability
Degrees of Freedom	0.95	0.90	0.75	0.50	0.25	0.10	0.05	0.01
1	0.00	0.02	0.10	0.45	1.32	2.71	3.84	6.63
2	0.10	0.21	0.58	1.39	2.77	4.61	5.99	9.21
3	0.35	0.58	1.21	2.37	4.11	6.25	7.81	11.34
4	0.71	1.06	1.92	3.36	5.39	7.78	9.49	13.28

Table 1
Phenotype	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	80	^(80-90)²⁄ ₉₀	1.111
Yellow Wrinkled (Y–rr)	30	38	^(38-30)²⁄ ₃₀	2.133
Green Round (yyR–)	30	35	^(35-30)²⁄ ₃₀	0.833
Green Wrinkled (yyrr)	10	7	^(7-10)²⁄ ₁₀	0.900
(sum) χ² =				4.978

Table 2
Phenotype	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	80	^(80-90)²⁄ ₈₀	1.250
Yellow Wrinkled (Y–rr)	30	38	^(38-30)²⁄ ₃₈	1.684
Green Round (yyR–)	30	35	^(35-30)²⁄ ₃₅	0.714
Green Wrinkled (yyrr)	10	7	^(7-10)²⁄ ₇	1.286
(sum) χ² =				4.934

Table 3
Phenotype	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	80	^(80-90)²⁄ _80²	0.016
Yellow Wrinkled (Y–rr)	30	38	^(38-30)²⁄ _38²	0.044
Green Round (yyR–)	30	35	^(35-30)²⁄ _35²	0.020
Green Wrinkled (yyrr)	10	7	^(7-10)²⁄ _7²	0.184
(sum) χ² =				0.264

Before you ask your instructor for a new lab partner, tell them which table is correct AND whether they can reject or fail to reject the null hypothesis using the information provided.

Table 1 with χ² = 4.978 is correct and we REJECT the null hypothesis Incorrect Table 2 with χ² = 4.934 is correct and we REJECT the null hypothesis Incorrect Table 3 with χ² = 0.264 is correct and we REJECT the null hypothesis Incorrect Table 1 with χ² = 4.978 is correct and we FAIL to REJECT the null hypothesis Correct Table 2 with χ² = 4.934 is correct and we FAIL to REJECT the null hypothesis Incorrect Table 3 with χ² = 0.264 is correct and we FAIL to REJECT the null hypothesis Incorrect MC

3d49_5914

Table of Chi-Squared (χ²) Critical Values
Degrees of Freedom	Probability
Degrees of Freedom	0.95	0.90	0.75	0.50	0.25	0.10	0.05	0.01
1	0.00	0.02	0.10	0.45	1.32	2.71	3.84	6.63
2	0.10	0.21	0.58	1.39	2.77	4.61	5.99	9.21
3	0.35	0.58	1.21	2.37	4.11	6.25	7.81	11.34
4	0.71	1.06	1.92	3.36	5.39	7.78	9.49	13.28

Table 1
Phenotype	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	98	^(98-90)²⁄ ₉₀	0.711
Yellow Wrinkled (Y–rr)	30	21	^(21-30)²⁄ ₃₀	2.700
Green Round (yyR–)	30	33	^(33-30)²⁄ ₃₀	0.300
Green Wrinkled (yyrr)	10	8	^(8-10)²⁄ ₁₀	0.400
(sum) χ² =				4.111

Table 2
Phenotype	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	98	^(98-90)²⁄ ₉₈	0.653
Yellow Wrinkled (Y–rr)	30	21	^(21-30)²⁄ ₂₁	3.857
Green Round (yyR–)	30	33	^(33-30)²⁄ ₃₃	0.273
Green Wrinkled (yyrr)	10	8	^(8-10)²⁄ ₈	0.500
(sum) χ² =				5.283

Table 3
Phenotype	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	98	^(98-90)²⁄ _98²	0.007
Yellow Wrinkled (Y–rr)	30	21	^(21-30)²⁄ _21²	0.184
Green Round (yyR–)	30	33	^(33-30)²⁄ _33²	0.008
Green Wrinkled (yyrr)	10	8	^(8-10)²⁄ _8²	0.062
(sum) χ² =				0.261

Before you ask your instructor for a new lab partner, tell them which table is correct AND whether they can reject or fail to reject the null hypothesis using the information provided.

Table 1 with χ² = 4.111 is correct and we REJECT the null hypothesis Incorrect Table 2 with χ² = 5.283 is correct and we REJECT the null hypothesis Incorrect Table 3 with χ² = 0.261 is correct and we REJECT the null hypothesis Incorrect Table 1 with χ² = 4.111 is correct and we FAIL to REJECT the null hypothesis Correct Table 2 with χ² = 5.283 is correct and we FAIL to REJECT the null hypothesis Incorrect Table 3 with χ² = 0.261 is correct and we FAIL to REJECT the null hypothesis Incorrect MC

074c_4d14

Table of Chi-Squared (χ²) Critical Values
Degrees of Freedom	Probability
Degrees of Freedom	0.95	0.90	0.75	0.50	0.25	0.10	0.05	0.01
1	0.00	0.02	0.10	0.45	1.32	2.71	3.84	6.63
2	0.10	0.21	0.58	1.39	2.77	4.61	5.99	9.21
3	0.35	0.58	1.21	2.37	4.11	6.25	7.81	11.34
4	0.71	1.06	1.92	3.36	5.39	7.78	9.49	13.28

Table 1
Phenotype	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	86	^(86-90)²⁄ ₈₆	0.186
Yellow Wrinkled (Y–rr)	30	28	^(28-30)²⁄ ₂₈	0.143
Green Round (yyR–)	30	34	^(34-30)²⁄ ₃₄	0.471
Green Wrinkled (yyrr)	10	12	^(12-10)²⁄ ₁₂	0.333
(sum) χ² =				1.133

Table 2
Phenotype	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	86	^(86-90)²⁄ ₉₀	0.178
Yellow Wrinkled (Y–rr)	30	28	^(28-30)²⁄ ₃₀	0.133
Green Round (yyR–)	30	34	^(34-30)²⁄ ₃₀	0.533
Green Wrinkled (yyrr)	10	12	^(12-10)²⁄ ₁₀	0.400
(sum) χ² =				1.244

Table 3
Phenotype	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	86	^(86-90)²⁄ _86²	0.002
Yellow Wrinkled (Y–rr)	30	28	^(28-30)²⁄ _28²	0.005
Green Round (yyR–)	30	34	^(34-30)²⁄ _34²	0.014
Green Wrinkled (yyrr)	10	12	^(12-10)²⁄ _12²	0.028
(sum) χ² =				0.049

Before you ask your instructor for a new lab partner, tell them which table is correct AND whether they can reject or fail to reject the null hypothesis using the information provided.

Table 1 with χ² = 1.133 is correct and we REJECT the null hypothesis Incorrect Table 2 with χ² = 1.244 is correct and we REJECT the null hypothesis Incorrect Table 3 with χ² = 0.049 is correct and we REJECT the null hypothesis Incorrect Table 1 with χ² = 1.133 is correct and we FAIL to REJECT the null hypothesis Incorrect Table 2 with χ² = 1.244 is correct and we FAIL to REJECT the null hypothesis Correct Table 3 with χ² = 0.049 is correct and we FAIL to REJECT the null hypothesis Incorrect