1e4a_fc79

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	18	^(18-30)²⁄ ₁₈	8.000
Green Round (yyR–)	30	46	^(46-30)²⁄ ₄₆	5.565
Green Wrinkled (yyrr)	10	15	^(15-10)²⁄ ₁₅	1.667
(sum) χ² =				16.232

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	46	^(46-30)²⁄ ₃₀	8.533
Green Wrinkled (yyrr)	10	15	^(15-10)²⁄ ₁₀	2.500
(sum) χ² =				16.733

Table 3
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	46	^(46-30)⁄ ₃₀	0.533
Green Wrinkled (yyrr)	10	15	^(15-10)⁄ ₁₀	0.500
(sum) χ² =				0.533

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 accept or reject the null hypothesis using the information provided.

A. Table 1 with χ² = 16.232 is correct and we REJECT the null hypothesis Incorrect B. Table 2 with χ² = 16.733 is correct and we REJECT the null hypothesis Correct C. Table 3 with χ² = 0.533 is correct and we REJECT the null hypothesis Incorrect D. Table 1 with χ² = 16.232 is correct and we ACCEPT the null hypothesis Incorrect E. Table 2 with χ² = 16.733 is correct and we ACCEPT the null hypothesis Incorrect F. Table 3 with χ² = 0.533 is correct and we ACCEPT the null hypothesis Incorrect MC

6574_6658

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	31	^(31-30)²⁄ _31²	0.001
Green Round (yyR–)	30	39	^(39-30)²⁄ _39²	0.053
Green Wrinkled (yyrr)	10	6	^(6-10)²⁄ _6²	0.444
(sum) χ² =				0.504

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	39	^(39-30)²⁄ ₃₉	2.077
Green Wrinkled (yyrr)	10	6	^(6-10)²⁄ ₆	2.667
(sum) χ² =				5.204

Table 3
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	39	^(39-30)²⁄ ₃₀	2.700
Green Wrinkled (yyrr)	10	6	^(6-10)²⁄ ₁₀	1.600
(sum) χ² =				4.733

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

A. Table 1 with χ² = 0.504 is correct and we REJECT the null hypothesis Incorrect B. Table 2 with χ² = 5.204 is correct and we REJECT the null hypothesis Incorrect C. Table 3 with χ² = 4.733 is correct and we REJECT the null hypothesis Incorrect D. Table 1 with χ² = 0.504 is correct and we ACCEPT the null hypothesis Incorrect E. Table 2 with χ² = 5.204 is correct and we ACCEPT the null hypothesis Incorrect F. Table 3 with χ² = 4.733 is correct and we ACCEPT the null hypothesis Correct MC

a9cb_5983

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	37	^(37-30)⁄ ₃₀	0.233
Green Round (yyR–)	30	28	^(28-30)⁄ ₃₀	-0.067
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⁄ ₉₀	0.544
Yellow Wrinkled (Y–rr)	30	37	^(37-30)²⁄ ₃₀	1.633
Green Round (yyR–)	30	28	^(28-30)²⁄ ₃₀	0.133
Green Wrinkled (yyrr)	10	12	^(12-10)²⁄ ₁₀	0.400
(sum) χ² =				2.711

Table 3
Phenotype	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	83	^(83-90)²⁄ ₈₃	0.590
Yellow Wrinkled (Y–rr)	30	37	^(37-30)²⁄ ₃₇	1.324
Green Round (yyR–)	30	28	^(28-30)²⁄ ₂₈	0.143
Green Wrinkled (yyrr)	10	12	^(12-10)²⁄ ₁₂	0.333
(sum) χ² =				2.391

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

A. Table 1 with χ² = 0.289 is correct and we REJECT the null hypothesis Incorrect B. Table 2 with χ² = 2.711 is correct and we REJECT the null hypothesis Incorrect C. Table 3 with χ² = 2.391 is correct and we REJECT the null hypothesis Incorrect D. Table 1 with χ² = 0.289 is correct and we ACCEPT the null hypothesis Incorrect E. Table 2 with χ² = 2.711 is correct and we ACCEPT the null hypothesis Correct F. Table 3 with χ² = 2.391 is correct and we ACCEPT the null hypothesis Incorrect MC

3a0f_9cb3

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	18	^(18-30)²⁄ _18²	0.444
Green Round (yyR–)	30	44	^(44-30)²⁄ _44²	0.101
Green Wrinkled (yyrr)	10	18	^(18-10)²⁄ _18²	0.198
(sum) χ² =				0.759

Table 2
Phenotype	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	80	^(80-90)²⁄ ₈₀	1.250
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	18	^(18-10)²⁄ ₁₈	3.556
(sum) χ² =				17.260

Table 3
Phenotype	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	80	^(80-90)²⁄ ₉₀	1.111
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	18	^(18-10)²⁄ ₁₀	6.400
(sum) χ² =				18.844

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

A. Table 1 with χ² = 0.759 is correct and we REJECT the null hypothesis Incorrect B. Table 2 with χ² = 17.260 is correct and we REJECT the null hypothesis Incorrect C. Table 3 with χ² = 18.844 is correct and we REJECT the null hypothesis Correct D. Table 1 with χ² = 0.759 is correct and we ACCEPT the null hypothesis Incorrect E. Table 2 with χ² = 17.260 is correct and we ACCEPT the null hypothesis Incorrect F. Table 3 with χ² = 18.844 is correct and we ACCEPT the null hypothesis Incorrect MC

52d2_5dd7

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	20	^(20-30)²⁄ _20²	0.250
Green Round (yyR–)	30	40	^(40-30)²⁄ _40²	0.062
Green Wrinkled (yyrr)	10	18	^(18-10)²⁄ _18²	0.198
(sum) χ² =				0.520

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	40	^(40-30)⁄ ₃₀	0.333
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	20	^(20-30)²⁄ ₃₀	3.333
Green Round (yyR–)	30	40	^(40-30)²⁄ ₃₀	3.333
Green Wrinkled (yyrr)	10	18	^(18-10)²⁄ ₁₀	6.400
(sum) χ² =				13.778

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

A. Table 1 with χ² = 0.520 is correct and we REJECT the null hypothesis Incorrect B. Table 2 with χ² = 0.711 is correct and we REJECT the null hypothesis Incorrect C. Table 3 with χ² = 13.778 is correct and we REJECT the null hypothesis Correct D. Table 1 with χ² = 0.520 is correct and we ACCEPT the null hypothesis Incorrect E. Table 2 with χ² = 0.711 is correct and we ACCEPT the null hypothesis Incorrect F. Table 3 with χ² = 13.778 is correct and we ACCEPT the null hypothesis Incorrect MC

b315_e3d4

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	20	^(20-30)²⁄ ₃₀	3.333
Green Round (yyR–)	30	39	^(39-30)²⁄ ₃₀	2.700
Green Wrinkled (yyrr)	10	18	^(18-10)²⁄ ₁₀	6.400
(sum) χ² =				12.978

Table 2
Phenotype	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	83	^(83-90)²⁄ _83²	0.007
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	18	^(18-10)²⁄ _18²	0.198
(sum) χ² =				0.508

Table 3
Phenotype	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	83	^(83-90)⁄ ₉₀	-0.078
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	18	^(18-10)⁄ ₁₀	0.800
(sum) χ² =				0.689

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

A. Table 1 with χ² = 12.978 is correct and we REJECT the null hypothesis Correct B. Table 2 with χ² = 0.508 is correct and we REJECT the null hypothesis Incorrect C. Table 3 with χ² = 0.689 is correct and we REJECT the null hypothesis Incorrect D. Table 1 with χ² = 12.978 is correct and we ACCEPT the null hypothesis Incorrect E. Table 2 with χ² = 0.508 is correct and we ACCEPT the null hypothesis Incorrect F. Table 3 with χ² = 0.689 is correct and we ACCEPT the null hypothesis Incorrect MC

3d5b_162d

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	34	^(34-30)²⁄ ₃₀	0.533
Green Round (yyR–)	30	25	^(25-30)²⁄ ₃₀	0.833
Green Wrinkled (yyrr)	10	8	^(8-10)²⁄ ₁₀	0.400
(sum) χ² =				1.867

Table 2
Phenotype	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	93	^(93-90)²⁄ _93²	0.001
Yellow Wrinkled (Y–rr)	30	34	^(34-30)²⁄ _34²	0.014
Green Round (yyR–)	30	25	^(25-30)²⁄ _25²	0.040
Green Wrinkled (yyrr)	10	8	^(8-10)²⁄ _8²	0.062
(sum) χ² =				0.117

Table 3
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	25	^(25-30)²⁄ ₂₅	1.000
Green Wrinkled (yyrr)	10	8	^(8-10)²⁄ ₈	0.500
(sum) χ² =				2.067

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

A. Table 1 with χ² = 1.867 is correct and we REJECT the null hypothesis Incorrect B. Table 2 with χ² = 0.117 is correct and we REJECT the null hypothesis Incorrect C. Table 3 with χ² = 2.067 is correct and we REJECT the null hypothesis Incorrect D. Table 1 with χ² = 1.867 is correct and we ACCEPT the null hypothesis Correct E. Table 2 with χ² = 0.117 is correct and we ACCEPT the null hypothesis Incorrect F. Table 3 with χ² = 2.067 is correct and we ACCEPT the null hypothesis Incorrect MC

0f1c_a2f6

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	17	^(17-30)²⁄ ₃₀	5.633
Green Round (yyR–)	30	47	^(47-30)²⁄ ₃₀	9.633
Green Wrinkled (yyrr)	10	17	^(17-10)²⁄ ₁₀	4.900
(sum) χ² =				21.511

Table 2
Phenotype	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	79	^(79-90)²⁄ ₇₉	1.532
Yellow Wrinkled (Y–rr)	30	17	^(17-30)²⁄ ₁₇	9.941
Green Round (yyR–)	30	47	^(47-30)²⁄ ₄₇	6.149
Green Wrinkled (yyrr)	10	17	^(17-10)²⁄ ₁₇	2.882
(sum) χ² =				20.504

Table 3
Phenotype	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	79	^(79-90)²⁄ _79²	0.019
Yellow Wrinkled (Y–rr)	30	17	^(17-30)²⁄ _17²	0.585
Green Round (yyR–)	30	47	^(47-30)²⁄ _47²	0.131
Green Wrinkled (yyrr)	10	17	^(17-10)²⁄ _17²	0.170
(sum) χ² =				0.905

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

A. Table 1 with χ² = 21.511 is correct and we REJECT the null hypothesis Correct B. Table 2 with χ² = 20.504 is correct and we REJECT the null hypothesis Incorrect C. Table 3 with χ² = 0.905 is correct and we REJECT the null hypothesis Incorrect D. Table 1 with χ² = 21.511 is correct and we ACCEPT the null hypothesis Incorrect E. Table 2 with χ² = 20.504 is correct and we ACCEPT the null hypothesis Incorrect F. Table 3 with χ² = 0.905 is correct and we ACCEPT the null hypothesis Incorrect MC

1466_af7f

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	22	^(22-30)²⁄ ₃₀	2.133
Green Round (yyR–)	30	40	^(40-30)²⁄ ₃₀	3.333
Green Wrinkled (yyrr)	10	16	^(16-10)²⁄ ₁₀	3.600
(sum) χ² =				9.778

Table 2
Phenotype	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	82	^(82-90)⁄ ₉₀	-0.089
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	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	22	^(22-30)²⁄ ₂₂	2.909
Green Round (yyR–)	30	40	^(40-30)²⁄ ₄₀	2.500
Green Wrinkled (yyrr)	10	16	^(16-10)²⁄ ₁₆	2.250
(sum) χ² =				8.440

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

A. Table 1 with χ² = 9.778 is correct and we REJECT the null hypothesis Correct B. Table 2 with χ² = 0.578 is correct and we REJECT the null hypothesis Incorrect C. Table 3 with χ² = 8.440 is correct and we REJECT the null hypothesis Incorrect D. Table 1 with χ² = 9.778 is correct and we ACCEPT the null hypothesis Incorrect E. Table 2 with χ² = 0.578 is correct and we ACCEPT the null hypothesis Incorrect F. Table 3 with χ² = 8.440 is correct and we ACCEPT the null hypothesis Incorrect MC

8fc5_92db

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	27	^(27-30)²⁄ ₂₇	0.333
Green Round (yyR–)	30	42	^(42-30)²⁄ ₄₂	3.429
Green Wrinkled (yyrr)	10	18	^(18-10)²⁄ ₁₈	3.556
(sum) χ² =				11.276

Table 2
Phenotype	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	73	^(73-90)⁄ ₉₀	-0.189
Yellow Wrinkled (Y–rr)	30	27	^(27-30)⁄ ₃₀	-0.100
Green Round (yyR–)	30	42	^(42-30)⁄ ₃₀	0.400
Green Wrinkled (yyrr)	10	18	^(18-10)⁄ ₁₀	0.800
(sum) χ² =				0.911

Table 3
Phenotype	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	73	^(73-90)²⁄ ₉₀	3.211
Yellow Wrinkled (Y–rr)	30	27	^(27-30)²⁄ ₃₀	0.300
Green Round (yyR–)	30	42	^(42-30)²⁄ ₃₀	4.800
Green Wrinkled (yyrr)	10	18	^(18-10)²⁄ ₁₀	6.400
(sum) χ² =				14.711

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

A. Table 1 with χ² = 11.276 is correct and we REJECT the null hypothesis Incorrect B. Table 2 with χ² = 0.911 is correct and we REJECT the null hypothesis Incorrect C. Table 3 with χ² = 14.711 is correct and we REJECT the null hypothesis Correct D. Table 1 with χ² = 11.276 is correct and we ACCEPT the null hypothesis Incorrect E. Table 2 with χ² = 0.911 is correct and we ACCEPT the null hypothesis Incorrect F. Table 3 with χ² = 14.711 is correct and we ACCEPT the null hypothesis Incorrect MC

ba15_d63c

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	23	^(23-30)²⁄ _23²	0.093
Green Round (yyR–)	30	41	^(41-30)²⁄ _41²	0.072
Green Wrinkled (yyrr)	10	13	^(13-10)²⁄ _13²	0.053
(sum) χ² =				0.225

Table 2
Phenotype	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	83	^(83-90)⁄ ₉₀	-0.078
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	13	^(13-10)⁄ ₁₀	0.300
(sum) χ² =				0.356

Table 3
Phenotype	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	83	^(83-90)²⁄ ₉₀	0.544
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	13	^(13-10)²⁄ ₁₀	0.900
(sum) χ² =				7.111

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

A. Table 1 with χ² = 0.225 is correct and we REJECT the null hypothesis Incorrect B. Table 2 with χ² = 0.356 is correct and we REJECT the null hypothesis Incorrect C. Table 3 with χ² = 7.111 is correct and we REJECT the null hypothesis Incorrect D. Table 1 with χ² = 0.225 is correct and we ACCEPT the null hypothesis Incorrect E. Table 2 with χ² = 0.356 is correct and we ACCEPT the null hypothesis Incorrect F. Table 3 with χ² = 7.111 is correct and we ACCEPT the null hypothesis Correct MC

4422_afcd

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	22	^(22-30)⁄ ₃₀	-0.267
Green Wrinkled (yyrr)	10	14	^(14-10)⁄ ₁₀	0.400
(sum) χ² =				0.111

Table 2
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	22	^(22-30)²⁄ _22²	0.132
Green Wrinkled (yyrr)	10	14	^(14-10)²⁄ _14²	0.082
(sum) χ² =				0.231

Table 3
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	22	^(22-30)²⁄ ₃₀	2.133
Green Wrinkled (yyrr)	10	14	^(14-10)²⁄ ₁₀	1.600
(sum) χ² =				4.578

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

A. Table 1 with χ² = 0.111 is correct and we REJECT the null hypothesis Incorrect B. Table 2 with χ² = 0.231 is correct and we REJECT the null hypothesis Incorrect C. Table 3 with χ² = 4.578 is correct and we REJECT the null hypothesis Incorrect D. Table 1 with χ² = 0.111 is correct and we ACCEPT the null hypothesis Incorrect E. Table 2 with χ² = 0.231 is correct and we ACCEPT the null hypothesis Incorrect F. Table 3 with χ² = 4.578 is correct and we ACCEPT the null hypothesis Correct MC

063a_1aa3

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	29	^(29-30)²⁄ ₃₀	0.033
Green Round (yyR–)	30	21	^(21-30)²⁄ ₃₀	2.700
Green Wrinkled (yyrr)	10	16	^(16-10)²⁄ ₁₀	3.600
(sum) χ² =				6.511

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	21	^(21-30)²⁄ _21²	0.184
Green Wrinkled (yyrr)	10	16	^(16-10)²⁄ _16²	0.141
(sum) χ² =				0.327

Table 3
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	21	^(21-30)⁄ ₃₀	-0.300
Green Wrinkled (yyrr)	10	16	^(16-10)⁄ ₁₀	0.600
(sum) χ² =				0.311

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

A. Table 1 with χ² = 6.511 is correct and we REJECT the null hypothesis Incorrect B. Table 2 with χ² = 0.327 is correct and we REJECT the null hypothesis Incorrect C. Table 3 with χ² = 0.311 is correct and we REJECT the null hypothesis Incorrect D. Table 1 with χ² = 6.511 is correct and we ACCEPT the null hypothesis Correct E. Table 2 with χ² = 0.327 is correct and we ACCEPT the null hypothesis Incorrect F. Table 3 with χ² = 0.311 is correct and we ACCEPT the null hypothesis Incorrect MC

eb79_a057

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	41	^(41-30)²⁄ ₃₀	4.033
Green Round (yyR–)	30	25	^(25-30)²⁄ ₃₀	0.833
Green Wrinkled (yyrr)	10	12	^(12-10)²⁄ ₁₀	0.400
(sum) χ² =				5.978

Table 2
Phenotype	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	82	^(82-90)²⁄ ₈₂	0.780
Yellow Wrinkled (Y–rr)	30	41	^(41-30)²⁄ ₄₁	2.951
Green Round (yyR–)	30	25	^(25-30)²⁄ ₂₅	1.000
Green Wrinkled (yyrr)	10	12	^(12-10)²⁄ ₁₂	0.333
(sum) χ² =				5.065

Table 3
Phenotype	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	82	^(82-90)⁄ ₉₀	-0.089
Yellow Wrinkled (Y–rr)	30	41	^(41-30)⁄ ₃₀	0.367
Green Round (yyR–)	30	25	^(25-30)⁄ ₃₀	-0.167
Green Wrinkled (yyrr)	10	12	^(12-10)⁄ 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 accept or reject the null hypothesis using the information provided.

A. Table 1 with χ² = 5.978 is correct and we REJECT the null hypothesis Incorrect B. Table 2 with χ² = 5.065 is correct and we REJECT the null hypothesis Incorrect C. Table 3 with χ² = 0.311 is correct and we REJECT the null hypothesis Incorrect D. Table 1 with χ² = 5.978 is correct and we ACCEPT the null hypothesis Correct E. Table 2 with χ² = 5.065 is correct and we ACCEPT the null hypothesis Incorrect F. Table 3 with χ² = 0.311 is correct and we ACCEPT the null hypothesis Incorrect MC

daa0_e581

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	34	^(34-30)⁄ ₃₀	0.133
Green Round (yyR–)	30	31	^(31-30)⁄ ₃₀	0.033
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⁄ ₉₀	0.544
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	12	^(12-10)²⁄ ₁₀	0.400
(sum) χ² =				1.511

Table 3
Phenotype	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	83	^(83-90)²⁄ _83²	0.007
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	12	^(12-10)²⁄ _12²	0.028
(sum) χ² =				0.050

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

A. Table 1 with χ² = 0.289 is correct and we REJECT the null hypothesis Incorrect B. Table 2 with χ² = 1.511 is correct and we REJECT the null hypothesis Incorrect C. Table 3 with χ² = 0.050 is correct and we REJECT the null hypothesis Incorrect D. Table 1 with χ² = 0.289 is correct and we ACCEPT the null hypothesis Incorrect E. Table 2 with χ² = 1.511 is correct and we ACCEPT the null hypothesis Correct F. Table 3 with χ² = 0.050 is correct and we ACCEPT the null hypothesis Incorrect MC

b8c4_9763

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	21	^(21-30)²⁄ _21²	0.184
Green Round (yyR–)	30	43	^(43-30)²⁄ _43²	0.091
Green Wrinkled (yyrr)	10	19	^(19-10)²⁄ _19²	0.224
(sum) χ² =				0.528

Table 2
Phenotype	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	77	^(77-90)²⁄ ₉₀	1.878
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	19	^(19-10)²⁄ ₁₀	8.100
(sum) χ² =				18.311

Table 3
Phenotype	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	77	^(77-90)²⁄ ₇₇	2.195
Yellow Wrinkled (Y–rr)	30	21	^(21-30)²⁄ ₂₁	3.857
Green Round (yyR–)	30	43	^(43-30)²⁄ ₄₃	3.930
Green Wrinkled (yyrr)	10	19	^(19-10)²⁄ ₁₉	4.263
(sum) χ² =				14.245

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

A. Table 1 with χ² = 0.528 is correct and we REJECT the null hypothesis Incorrect B. Table 2 with χ² = 18.311 is correct and we REJECT the null hypothesis Correct C. Table 3 with χ² = 14.245 is correct and we REJECT the null hypothesis Incorrect D. Table 1 with χ² = 0.528 is correct and we ACCEPT the null hypothesis Incorrect E. Table 2 with χ² = 18.311 is correct and we ACCEPT the null hypothesis Incorrect F. Table 3 with χ² = 14.245 is correct and we ACCEPT the null hypothesis Incorrect MC

0fc4_e2c4

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	18	^(18-30)²⁄ ₃₀	4.800
Green Round (yyR–)	30	46	^(46-30)²⁄ ₃₀	8.533
Green Wrinkled (yyrr)	10	16	^(16-10)²⁄ ₁₀	3.600
(sum) χ² =				18.044

Table 2
Phenotype	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	80	^(80-90)⁄ ₉₀	-0.111
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	16	^(16-10)⁄ ₁₀	0.600
(sum) χ² =				0.622

Table 3
Phenotype	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	80	^(80-90)²⁄ ₈₀	1.250
Yellow Wrinkled (Y–rr)	30	18	^(18-30)²⁄ ₁₈	8.000
Green Round (yyR–)	30	46	^(46-30)²⁄ ₄₆	5.565
Green Wrinkled (yyrr)	10	16	^(16-10)²⁄ ₁₆	2.250
(sum) χ² =				17.065

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

A. Table 1 with χ² = 18.044 is correct and we REJECT the null hypothesis Correct B. Table 2 with χ² = 0.622 is correct and we REJECT the null hypothesis Incorrect C. Table 3 with χ² = 17.065 is correct and we REJECT the null hypothesis Incorrect D. Table 1 with χ² = 18.044 is correct and we ACCEPT the null hypothesis Incorrect E. Table 2 with χ² = 0.622 is correct and we ACCEPT the null hypothesis Incorrect F. Table 3 with χ² = 17.065 is correct and we ACCEPT the null hypothesis Incorrect MC

57c4_4ecb

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	38	^(38-30)²⁄ ₃₈	1.684
Green Round (yyR–)	30	22	^(22-30)²⁄ ₂₂	2.909
Green Wrinkled (yyrr)	10	7	^(7-10)²⁄ ₇	1.286
(sum) χ² =				5.976

Table 2
Phenotype	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	93	^(93-90)²⁄ ₉₀	0.100
Yellow Wrinkled (Y–rr)	30	38	^(38-30)²⁄ ₃₀	2.133
Green Round (yyR–)	30	22	^(22-30)²⁄ ₃₀	2.133
Green Wrinkled (yyrr)	10	7	^(7-10)²⁄ ₁₀	0.900
(sum) χ² =				5.267

Table 3
Phenotype	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	93	^(93-90)²⁄ _93²	0.001
Yellow Wrinkled (Y–rr)	30	38	^(38-30)²⁄ _38²	0.044
Green Round (yyR–)	30	22	^(22-30)²⁄ _22²	0.132
Green Wrinkled (yyrr)	10	7	^(7-10)²⁄ _7²	0.184
(sum) χ² =				0.361

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

A. Table 1 with χ² = 5.976 is correct and we REJECT the null hypothesis Incorrect B. Table 2 with χ² = 5.267 is correct and we REJECT the null hypothesis Incorrect C. Table 3 with χ² = 0.361 is correct and we REJECT the null hypothesis Incorrect D. Table 1 with χ² = 5.976 is correct and we ACCEPT the null hypothesis Incorrect E. Table 2 with χ² = 5.267 is correct and we ACCEPT the null hypothesis Correct F. Table 3 with χ² = 0.361 is correct and we ACCEPT the null hypothesis Incorrect MC

1532_ef9f

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	20	^(20-30)²⁄ _20²	0.250
Green Round (yyR–)	30	44	^(44-30)²⁄ _44²	0.101
Green Wrinkled (yyrr)	10	18	^(18-10)²⁄ _18²	0.198
(sum) χ² =				0.572

Table 2
Phenotype	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	78	^(78-90)²⁄ ₇₈	1.846
Yellow Wrinkled (Y–rr)	30	20	^(20-30)²⁄ ₂₀	5.000
Green Round (yyR–)	30	44	^(44-30)²⁄ ₄₄	4.455
Green Wrinkled (yyrr)	10	18	^(18-10)²⁄ ₁₈	3.556
(sum) χ² =				14.856

Table 3
Phenotype	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	78	^(78-90)²⁄ ₉₀	1.600
Yellow Wrinkled (Y–rr)	30	20	^(20-30)²⁄ ₃₀	3.333
Green Round (yyR–)	30	44	^(44-30)²⁄ ₃₀	6.533
Green Wrinkled (yyrr)	10	18	^(18-10)²⁄ ₁₀	6.400
(sum) χ² =				17.867

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

A. Table 1 with χ² = 0.572 is correct and we REJECT the null hypothesis Incorrect B. Table 2 with χ² = 14.856 is correct and we REJECT the null hypothesis Incorrect C. Table 3 with χ² = 17.867 is correct and we REJECT the null hypothesis Correct D. Table 1 with χ² = 0.572 is correct and we ACCEPT the null hypothesis Incorrect E. Table 2 with χ² = 14.856 is correct and we ACCEPT the null hypothesis Incorrect F. Table 3 with χ² = 17.867 is correct and we ACCEPT the null hypothesis Incorrect MC

010b_95ce

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	36	^(36-30)²⁄ ₃₀	1.200
Green Wrinkled (yyrr)	10	8	^(8-10)²⁄ ₁₀	0.400
(sum) χ² =				6.178

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	36	^(36-30)⁄ ₃₀	0.200
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⁄ ₇₇	2.195
Yellow Wrinkled (Y–rr)	30	39	^(39-30)²⁄ ₃₉	2.077
Green Round (yyR–)	30	36	^(36-30)²⁄ ₃₆	1.000
Green Wrinkled (yyrr)	10	8	^(8-10)²⁄ ₈	0.500
(sum) χ² =				5.772

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

A. Table 1 with χ² = 6.178 is correct and we REJECT the null hypothesis Incorrect B. Table 2 with χ² = 0.156 is correct and we REJECT the null hypothesis Incorrect C. Table 3 with χ² = 5.772 is correct and we REJECT the null hypothesis Incorrect D. Table 1 with χ² = 6.178 is correct and we ACCEPT the null hypothesis Correct E. Table 2 with χ² = 0.156 is correct and we ACCEPT the null hypothesis Incorrect F. Table 3 with χ² = 5.772 is correct and we ACCEPT the null hypothesis Incorrect MC

f641_7618

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	21	^(21-30)²⁄ ₃₀	2.700
Green Round (yyR–)	30	42	^(42-30)²⁄ ₃₀	4.800
Green Wrinkled (yyrr)	10	17	^(17-10)²⁄ ₁₀	4.900
(sum) χ² =				13.511

Table 2
Phenotype	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	80	^(80-90)⁄ ₉₀	-0.111
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	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⁄ _80²	0.016
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	17	^(17-10)²⁄ _17²	0.170
(sum) χ² =				0.450

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

A. Table 1 with χ² = 13.511 is correct and we REJECT the null hypothesis Correct B. Table 2 with χ² = 0.689 is correct and we REJECT the null hypothesis Incorrect C. Table 3 with χ² = 0.450 is correct and we REJECT the null hypothesis Incorrect D. Table 1 with χ² = 13.511 is correct and we ACCEPT the null hypothesis Incorrect E. Table 2 with χ² = 0.689 is correct and we ACCEPT the null hypothesis Incorrect F. Table 3 with χ² = 0.450 is correct and we ACCEPT the null hypothesis Incorrect MC

96aa_952f

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	34	^(34-30)²⁄ ₃₀	0.533
Green Round (yyR–)	30	41	^(41-30)²⁄ ₃₀	4.033
Green Wrinkled (yyrr)	10	8	^(8-10)²⁄ ₁₀	0.400
(sum) χ² =				6.844

Table 2
Phenotype	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	77	^(77-90)⁄ ₉₀	-0.144
Yellow Wrinkled (Y–rr)	30	34	^(34-30)⁄ ₃₀	0.133
Green Round (yyR–)	30	41	^(41-30)⁄ ₃₀	0.367
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⁄ ₇₇	2.195
Yellow Wrinkled (Y–rr)	30	34	^(34-30)²⁄ ₃₄	0.471
Green Round (yyR–)	30	41	^(41-30)²⁄ ₄₁	2.951
Green Wrinkled (yyrr)	10	8	^(8-10)²⁄ ₈	0.500
(sum) χ² =				6.117

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

A. Table 1 with χ² = 6.844 is correct and we REJECT the null hypothesis Incorrect B. Table 2 with χ² = 0.156 is correct and we REJECT the null hypothesis Incorrect C. Table 3 with χ² = 6.117 is correct and we REJECT the null hypothesis Incorrect D. Table 1 with χ² = 6.844 is correct and we ACCEPT the null hypothesis Correct E. Table 2 with χ² = 0.156 is correct and we ACCEPT the null hypothesis Incorrect F. Table 3 with χ² = 6.117 is correct and we ACCEPT the null hypothesis Incorrect MC

2760_969e

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	21	^(21-30)²⁄ ₂₁	3.857
Green Round (yyR–)	30	35	^(35-30)²⁄ ₃₅	0.714
Green Wrinkled (yyrr)	10	18	^(18-10)²⁄ ₁₈	3.556
(sum) χ² =				8.313

Table 2
Phenotype	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	86	^(86-90)²⁄ ₉₀	0.178
Yellow Wrinkled (Y–rr)	30	21	^(21-30)²⁄ ₃₀	2.700
Green Round (yyR–)	30	35	^(35-30)²⁄ ₃₀	0.833
Green Wrinkled (yyrr)	10	18	^(18-10)²⁄ ₁₀	6.400
(sum) χ² =				10.111

Table 3
Phenotype	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	86	^(86-90)²⁄ _86²	0.002
Yellow Wrinkled (Y–rr)	30	21	^(21-30)²⁄ _21²	0.184
Green Round (yyR–)	30	35	^(35-30)²⁄ _35²	0.020
Green Wrinkled (yyrr)	10	18	^(18-10)²⁄ _18²	0.198
(sum) χ² =				0.404

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

A. Table 1 with χ² = 8.313 is correct and we REJECT the null hypothesis Incorrect B. Table 2 with χ² = 10.111 is correct and we REJECT the null hypothesis Correct C. Table 3 with χ² = 0.404 is correct and we REJECT the null hypothesis Incorrect D. Table 1 with χ² = 8.313 is correct and we ACCEPT the null hypothesis Incorrect E. Table 2 with χ² = 10.111 is correct and we ACCEPT the null hypothesis Incorrect F. Table 3 with χ² = 0.404 is correct and we ACCEPT the null hypothesis Incorrect MC

0554_ab72

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⁄ ₉₀	2.844
Yellow Wrinkled (Y–rr)	30	15	^(15-30)²⁄ ₃₀	7.500
Green Round (yyR–)	30	53	^(53-30)²⁄ ₃₀	17.633
Green Wrinkled (yyrr)	10	18	^(18-10)²⁄ ₁₀	6.400
(sum) χ² =				34.378

Table 2
Phenotype	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	74	^(74-90)²⁄ ₇₄	3.459
Yellow Wrinkled (Y–rr)	30	15	^(15-30)²⁄ ₁₅	15.000
Green Round (yyR–)	30	53	^(53-30)²⁄ ₅₃	9.981
Green Wrinkled (yyrr)	10	18	^(18-10)²⁄ ₁₈	3.556
(sum) χ² =				31.996

Table 3
Phenotype	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	74	^(74-90)²⁄ _74²	0.047
Yellow Wrinkled (Y–rr)	30	15	^(15-30)²⁄ _15²	1.000
Green Round (yyR–)	30	53	^(53-30)²⁄ _53²	0.188
Green Wrinkled (yyrr)	10	18	^(18-10)²⁄ _18²	0.198
(sum) χ² =				1.433

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

A. Table 1 with χ² = 34.378 is correct and we REJECT the null hypothesis Correct B. Table 2 with χ² = 31.996 is correct and we REJECT the null hypothesis Incorrect C. Table 3 with χ² = 1.433 is correct and we REJECT the null hypothesis Incorrect D. Table 1 with χ² = 34.378 is correct and we ACCEPT the null hypothesis Incorrect E. Table 2 with χ² = 31.996 is correct and we ACCEPT the null hypothesis Incorrect F. Table 3 with χ² = 1.433 is correct and we ACCEPT the null hypothesis Incorrect MC

5335_aea9

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	42	^(42-30)²⁄ ₃₀	4.800
Green Wrinkled (yyrr)	10	16	^(16-10)²⁄ ₁₀	3.600
(sum) χ² =				16.000

Table 2
Phenotype	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	87	^(87-90)⁄ ₉₀	-0.033
Yellow Wrinkled (Y–rr)	30	15	^(15-30)⁄ ₃₀	-0.500
Green Round (yyR–)	30	42	^(42-30)⁄ ₃₀	0.400
Green Wrinkled (yyrr)	10	16	^(16-10)⁄ ₁₀	0.600
(sum) χ² =				0.467

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	42	^(42-30)²⁄ _42²	0.082
Green Wrinkled (yyrr)	10	16	^(16-10)²⁄ _16²	0.141
(sum) χ² =				1.223

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

A. Table 1 with χ² = 16.000 is correct and we REJECT the null hypothesis Correct B. Table 2 with χ² = 0.467 is correct and we REJECT the null hypothesis Incorrect C. Table 3 with χ² = 1.223 is correct and we REJECT the null hypothesis Incorrect D. Table 1 with χ² = 16.000 is correct and we ACCEPT the null hypothesis Incorrect E. Table 2 with χ² = 0.467 is correct and we ACCEPT the null hypothesis Incorrect F. Table 3 with χ² = 1.223 is correct and we ACCEPT the null hypothesis Incorrect MC

4bc6_f1a9

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⁄ ₆₈	7.118
Yellow Wrinkled (Y–rr)	30	23	^(23-30)²⁄ ₂₃	2.130
Green Round (yyR–)	30	50	^(50-30)²⁄ ₅₀	8.000
Green Wrinkled (yyrr)	10	19	^(19-10)²⁄ ₁₉	4.263
(sum) χ² =				21.511

Table 2
Phenotype	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	68	^(68-90)⁄ ₉₀	-0.244
Yellow Wrinkled (Y–rr)	30	23	^(23-30)⁄ ₃₀	-0.233
Green Round (yyR–)	30	50	^(50-30)⁄ ₃₀	0.667
Green Wrinkled (yyrr)	10	19	^(19-10)⁄ ₁₀	0.900
(sum) χ² =				1.089

Table 3
Phenotype	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	68	^(68-90)²⁄ ₉₀	5.378
Yellow Wrinkled (Y–rr)	30	23	^(23-30)²⁄ ₃₀	1.633
Green Round (yyR–)	30	50	^(50-30)²⁄ ₃₀	13.333
Green Wrinkled (yyrr)	10	19	^(19-10)²⁄ ₁₀	8.100
(sum) χ² =				28.444

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

A. Table 1 with χ² = 21.511 is correct and we REJECT the null hypothesis Incorrect B. Table 2 with χ² = 1.089 is correct and we REJECT the null hypothesis Incorrect C. Table 3 with χ² = 28.444 is correct and we REJECT the null hypothesis Correct D. Table 1 with χ² = 21.511 is correct and we ACCEPT the null hypothesis Incorrect E. Table 2 with χ² = 1.089 is correct and we ACCEPT the null hypothesis Incorrect F. Table 3 with χ² = 28.444 is correct and we ACCEPT the null hypothesis Incorrect MC

f725_653b

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	45	^(45-30)²⁄ ₃₀	7.500
Green Wrinkled (yyrr)	10	13	^(13-10)²⁄ ₁₀	0.900
(sum) χ² =				11.378

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	45	^(45-30)²⁄ _45²	0.111
Green Wrinkled (yyrr)	10	13	^(13-10)²⁄ _13²	0.053
(sum) χ² =				0.276

Table 3
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	45	^(45-30)²⁄ ₄₅	5.000
Green Wrinkled (yyrr)	10	13	^(13-10)²⁄ ₁₃	0.692
(sum) χ² =				9.354

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

A. Table 1 with χ² = 11.378 is correct and we REJECT the null hypothesis Correct B. Table 2 with χ² = 0.276 is correct and we REJECT the null hypothesis Incorrect C. Table 3 with χ² = 9.354 is correct and we REJECT the null hypothesis Incorrect D. Table 1 with χ² = 11.378 is correct and we ACCEPT the null hypothesis Incorrect E. Table 2 with χ² = 0.276 is correct and we ACCEPT the null hypothesis Incorrect F. Table 3 with χ² = 9.354 is correct and we ACCEPT the null hypothesis Incorrect MC

1618_0296

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	19	^(19-30)⁄ ₃₀	-0.367
Green Round (yyR–)	30	47	^(47-30)⁄ ₃₀	0.567
Green Wrinkled (yyrr)	10	15	^(15-10)⁄ ₁₀	0.500
(sum) χ² =				0.578

Table 2
Phenotype	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	79	^(79-90)²⁄ ₉₀	1.344
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	15	^(15-10)²⁄ ₁₀	2.500
(sum) χ² =				17.511

Table 3
Phenotype	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	79	^(79-90)²⁄ ₇₉	1.532
Yellow Wrinkled (Y–rr)	30	19	^(19-30)²⁄ ₁₉	6.368
Green Round (yyR–)	30	47	^(47-30)²⁄ ₄₇	6.149
Green Wrinkled (yyrr)	10	15	^(15-10)²⁄ ₁₅	1.667
(sum) χ² =				15.716

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

A. Table 1 with χ² = 0.578 is correct and we REJECT the null hypothesis Incorrect B. Table 2 with χ² = 17.511 is correct and we REJECT the null hypothesis Correct C. Table 3 with χ² = 15.716 is correct and we REJECT the null hypothesis Incorrect D. Table 1 with χ² = 0.578 is correct and we ACCEPT the null hypothesis Incorrect E. Table 2 with χ² = 17.511 is correct and we ACCEPT the null hypothesis Incorrect F. Table 3 with χ² = 15.716 is correct and we ACCEPT the null hypothesis Incorrect MC

57af_61a9

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	18	^(18-30)⁄ ₃₀	-0.400
Green Round (yyR–)	30	43	^(43-30)⁄ ₃₀	0.433
Green Wrinkled (yyrr)	10	19	^(19-10)⁄ ₁₀	0.900
(sum) χ² =				0.822

Table 2
Phenotype	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	80	^(80-90)²⁄ ₈₀	1.250
Yellow Wrinkled (Y–rr)	30	18	^(18-30)²⁄ ₁₈	8.000
Green Round (yyR–)	30	43	^(43-30)²⁄ ₄₃	3.930
Green Wrinkled (yyrr)	10	19	^(19-10)²⁄ ₁₉	4.263
(sum) χ² =				17.443

Table 3
Phenotype	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	80	^(80-90)²⁄ ₉₀	1.111
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	19	^(19-10)²⁄ ₁₀	8.100
(sum) χ² =				19.644

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

A. Table 1 with χ² = 0.822 is correct and we REJECT the null hypothesis Incorrect B. Table 2 with χ² = 17.443 is correct and we REJECT the null hypothesis Incorrect C. Table 3 with χ² = 19.644 is correct and we REJECT the null hypothesis Correct D. Table 1 with χ² = 0.822 is correct and we ACCEPT the null hypothesis Incorrect E. Table 2 with χ² = 17.443 is correct and we ACCEPT the null hypothesis Incorrect F. Table 3 with χ² = 19.644 is correct and we ACCEPT the null hypothesis Incorrect MC

15ab_3923

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	22	^(22-30)⁄ ₃₀	-0.267
Green Round (yyR–)	30	38	^(38-30)⁄ ₃₀	0.267
Green Wrinkled (yyrr)	10	17	^(17-10)⁄ ₁₀	0.700
(sum) χ² =				0.622

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	38	^(38-30)²⁄ ₃₀	2.133
Green Wrinkled (yyrr)	10	17	^(17-10)²⁄ ₁₀	4.900
(sum) χ² =				9.711

Table 3
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	38	^(38-30)²⁄ ₃₈	1.684
Green Wrinkled (yyrr)	10	17	^(17-10)²⁄ ₁₇	2.882
(sum) χ² =				8.066

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

A. Table 1 with χ² = 0.622 is correct and we REJECT the null hypothesis Incorrect B. Table 2 with χ² = 9.711 is correct and we REJECT the null hypothesis Correct C. Table 3 with χ² = 8.066 is correct and we REJECT the null hypothesis Incorrect D. Table 1 with χ² = 0.622 is correct and we ACCEPT the null hypothesis Incorrect E. Table 2 with χ² = 9.711 is correct and we ACCEPT the null hypothesis Incorrect F. Table 3 with χ² = 8.066 is correct and we ACCEPT the null hypothesis Incorrect MC

5235_6414

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	22	^(22-30)²⁄ _22²	0.132
Green Round (yyR–)	30	33	^(33-30)²⁄ _33²	0.008
Green Wrinkled (yyrr)	10	12	^(12-10)²⁄ _12²	0.028
(sum) χ² =				0.169

Table 2
Phenotype	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	93	^(93-90)²⁄ ₉₀	0.100
Yellow Wrinkled (Y–rr)	30	22	^(22-30)²⁄ ₃₀	2.133
Green Round (yyR–)	30	33	^(33-30)²⁄ ₃₀	0.300
Green Wrinkled (yyrr)	10	12	^(12-10)²⁄ ₁₀	0.400
(sum) χ² =				2.933

Table 3
Phenotype	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	93	^(93-90)²⁄ ₉₃	0.097
Yellow Wrinkled (Y–rr)	30	22	^(22-30)²⁄ ₂₂	2.909
Green Round (yyR–)	30	33	^(33-30)²⁄ ₃₃	0.273
Green Wrinkled (yyrr)	10	12	^(12-10)²⁄ ₁₂	0.333
(sum) χ² =				3.612

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

A. Table 1 with χ² = 0.169 is correct and we REJECT the null hypothesis Incorrect B. Table 2 with χ² = 2.933 is correct and we REJECT the null hypothesis Incorrect C. Table 3 with χ² = 3.612 is correct and we REJECT the null hypothesis Incorrect D. Table 1 with χ² = 0.169 is correct and we ACCEPT the null hypothesis Incorrect E. Table 2 with χ² = 2.933 is correct and we ACCEPT the null hypothesis Correct F. Table 3 with χ² = 3.612 is correct and we ACCEPT the null hypothesis Incorrect MC

3f25_86d4

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⁄ ₉₈	0.653
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	8	^(8-10)²⁄ ₈	0.500
(sum) χ² =				1.911

Table 2
Phenotype	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	98	^(98-90)²⁄ _98²	0.007
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	8	^(8-10)²⁄ _8²	0.062
(sum) χ² =				0.098

Table 3
Phenotype	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	98	^(98-90)²⁄ ₉₀	0.711
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	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 accept or reject the null hypothesis using the information provided.

A. Table 1 with χ² = 1.911 is correct and we REJECT the null hypothesis Incorrect B. Table 2 with χ² = 0.098 is correct and we REJECT the null hypothesis Incorrect C. Table 3 with χ² = 1.778 is correct and we REJECT the null hypothesis Incorrect D. Table 1 with χ² = 1.911 is correct and we ACCEPT the null hypothesis Incorrect E. Table 2 with χ² = 0.098 is correct and we ACCEPT the null hypothesis Incorrect F. Table 3 with χ² = 1.778 is correct and we ACCEPT the null hypothesis Correct MC

7a55_56ae

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	19	^(19-30)⁄ ₃₀	-0.367
Green Round (yyR–)	30	40	^(40-30)⁄ ₃₀	0.333
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⁄ ₉₀	0.711
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	19	^(19-10)²⁄ ₁₀	8.100
(sum) χ² =				16.178

Table 3
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	40	^(40-30)²⁄ ₄₀	2.500
Green Wrinkled (yyrr)	10	19	^(19-10)²⁄ ₁₉	4.263
(sum) χ² =				13.912

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

A. Table 1 with χ² = 0.778 is correct and we REJECT the null hypothesis Incorrect B. Table 2 with χ² = 16.178 is correct and we REJECT the null hypothesis Correct C. Table 3 with χ² = 13.912 is correct and we REJECT the null hypothesis Incorrect D. Table 1 with χ² = 0.778 is correct and we ACCEPT the null hypothesis Incorrect E. Table 2 with χ² = 16.178 is correct and we ACCEPT the null hypothesis Incorrect F. Table 3 with χ² = 13.912 is correct and we ACCEPT the null hypothesis Incorrect MC

43a2_68ff

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	26	^(26-30)²⁄ ₃₀	0.533
Green Wrinkled (yyrr)	10	8	^(8-10)²⁄ ₁₀	0.400
(sum) χ² =				1.333

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	26	^(26-30)²⁄ ₂₆	0.615
Green Wrinkled (yyrr)	10	8	^(8-10)²⁄ ₈	0.500
(sum) χ² =				1.490

Table 3
Phenotype	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	96	^(96-90)⁄ ₉₀	0.067
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	8	^(8-10)⁄ 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 accept or reject the null hypothesis using the information provided.

A. Table 1 with χ² = 1.333 is correct and we REJECT the null hypothesis Incorrect B. Table 2 with χ² = 1.490 is correct and we REJECT the null hypothesis Incorrect C. Table 3 with χ² = -0.267 is correct and we REJECT the null hypothesis Incorrect D. Table 1 with χ² = 1.333 is correct and we ACCEPT the null hypothesis Correct E. Table 2 with χ² = 1.490 is correct and we ACCEPT the null hypothesis Incorrect F. Table 3 with χ² = -0.267 is correct and we ACCEPT the null hypothesis Incorrect MC

5b74_814a

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	21	^(21-30)²⁄ ₃₀	2.700
Green Round (yyR–)	30	43	^(43-30)²⁄ ₃₀	5.633
Green Wrinkled (yyrr)	10	15	^(15-10)²⁄ ₁₀	2.500
(sum) χ² =				11.733

Table 2
Phenotype	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	81	^(81-90)⁄ ₉₀	-0.100
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	15	^(15-10)⁄ ₁₀	0.500
(sum) χ² =				0.533

Table 3
Phenotype	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	81	^(81-90)²⁄ _81²	0.012
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	15	^(15-10)²⁄ _15²	0.111
(sum) χ² =				0.399

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

A. Table 1 with χ² = 11.733 is correct and we REJECT the null hypothesis Correct B. Table 2 with χ² = 0.533 is correct and we REJECT the null hypothesis Incorrect C. Table 3 with χ² = 0.399 is correct and we REJECT the null hypothesis Incorrect D. Table 1 with χ² = 11.733 is correct and we ACCEPT the null hypothesis Incorrect E. Table 2 with χ² = 0.533 is correct and we ACCEPT the null hypothesis Incorrect F. Table 3 with χ² = 0.399 is correct and we ACCEPT the null hypothesis Incorrect MC

a2f0_acb0

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	24	^(24-30)²⁄ ₃₀	1.200
Green Round (yyR–)	30	28	^(28-30)²⁄ ₃₀	0.133
Green Wrinkled (yyrr)	10	12	^(12-10)²⁄ ₁₀	0.400
(sum) χ² =				2.133

Table 2
Phenotype	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	96	^(96-90)²⁄ ₉₆	0.375
Yellow Wrinkled (Y–rr)	30	24	^(24-30)²⁄ ₂₄	1.500
Green Round (yyR–)	30	28	^(28-30)²⁄ ₂₈	0.143
Green Wrinkled (yyrr)	10	12	^(12-10)²⁄ ₁₂	0.333
(sum) χ² =				2.351

Table 3
Phenotype	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	96	^(96-90)⁄ ₉₀	0.067
Yellow Wrinkled (Y–rr)	30	24	^(24-30)⁄ ₃₀	-0.200
Green Round (yyR–)	30	28	^(28-30)⁄ ₃₀	-0.067
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 accept or reject the null hypothesis using the information provided.

A. Table 1 with χ² = 2.133 is correct and we REJECT the null hypothesis Incorrect B. Table 2 with χ² = 2.351 is correct and we REJECT the null hypothesis Incorrect C. Table 3 with χ² = 0.000 is correct and we REJECT the null hypothesis Incorrect D. Table 1 with χ² = 2.133 is correct and we ACCEPT the null hypothesis Correct E. Table 2 with χ² = 2.351 is correct and we ACCEPT the null hypothesis Incorrect F. Table 3 with χ² = 0.000 is correct and we ACCEPT the null hypothesis Incorrect MC

3abe_e3e4

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	29	^(29-30)²⁄ ₂₉	0.034
Green Wrinkled (yyrr)	10	15	^(15-10)²⁄ ₁₅	1.667
(sum) χ² =				2.564

Table 2
Phenotype	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	83	^(83-90)⁄ ₉₀	-0.078
Yellow Wrinkled (Y–rr)	30	33	^(33-30)⁄ ₃₀	0.100
Green Round (yyR–)	30	29	^(29-30)⁄ ₃₀	-0.033
Green Wrinkled (yyrr)	10	15	^(15-10)⁄ ₁₀	0.500
(sum) χ² =				0.489

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	29	^(29-30)²⁄ ₃₀	0.033
Green Wrinkled (yyrr)	10	15	^(15-10)²⁄ ₁₀	2.500
(sum) χ² =				3.378

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

A. Table 1 with χ² = 2.564 is correct and we REJECT the null hypothesis Incorrect B. Table 2 with χ² = 0.489 is correct and we REJECT the null hypothesis Incorrect C. Table 3 with χ² = 3.378 is correct and we REJECT the null hypothesis Incorrect D. Table 1 with χ² = 2.564 is correct and we ACCEPT the null hypothesis Incorrect E. Table 2 with χ² = 0.489 is correct and we ACCEPT the null hypothesis Incorrect F. Table 3 with χ² = 3.378 is correct and we ACCEPT the null hypothesis Correct MC

2231_ad74

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	22	^(22-30)²⁄ ₃₀	2.133
Green Round (yyR–)	30	34	^(34-30)²⁄ ₃₀	0.533
Green Wrinkled (yyrr)	10	19	^(19-10)²⁄ ₁₀	8.100
(sum) χ² =				11.044

Table 2
Phenotype	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	85	^(85-90)²⁄ _85²	0.003
Yellow Wrinkled (Y–rr)	30	22	^(22-30)²⁄ _22²	0.132
Green Round (yyR–)	30	34	^(34-30)²⁄ _34²	0.014
Green Wrinkled (yyrr)	10	19	^(19-10)²⁄ _19²	0.224
(sum) χ² =				0.374

Table 3
Phenotype	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	85	^(85-90)²⁄ ₈₅	0.294
Yellow Wrinkled (Y–rr)	30	22	^(22-30)²⁄ ₂₂	2.909
Green Round (yyR–)	30	34	^(34-30)²⁄ ₃₄	0.471
Green Wrinkled (yyrr)	10	19	^(19-10)²⁄ ₁₉	4.263
(sum) χ² =				7.937

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

A. Table 1 with χ² = 11.044 is correct and we REJECT the null hypothesis Correct B. Table 2 with χ² = 0.374 is correct and we REJECT the null hypothesis Incorrect C. Table 3 with χ² = 7.937 is correct and we REJECT the null hypothesis Incorrect D. Table 1 with χ² = 11.044 is correct and we ACCEPT the null hypothesis Incorrect E. Table 2 with χ² = 0.374 is correct and we ACCEPT the null hypothesis Incorrect F. Table 3 with χ² = 7.937 is correct and we ACCEPT the null hypothesis Incorrect MC

431d_a5bf

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	27	^(27-30)²⁄ ₃₀	0.300
Green Round (yyR–)	30	26	^(26-30)²⁄ ₃₀	0.533
Green Wrinkled (yyrr)	10	12	^(12-10)²⁄ ₁₀	0.400
(sum) χ² =				1.511

Table 2
Phenotype	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	95	^(95-90)²⁄ ₉₅	0.263
Yellow Wrinkled (Y–rr)	30	27	^(27-30)²⁄ ₂₇	0.333
Green Round (yyR–)	30	26	^(26-30)²⁄ ₂₆	0.615
Green Wrinkled (yyrr)	10	12	^(12-10)²⁄ ₁₂	0.333
(sum) χ² =				1.545

Table 3
Phenotype	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	95	^(95-90)²⁄ _95²	0.003
Yellow Wrinkled (Y–rr)	30	27	^(27-30)²⁄ _27²	0.012
Green Round (yyR–)	30	26	^(26-30)²⁄ _26²	0.024
Green Wrinkled (yyrr)	10	12	^(12-10)²⁄ _12²	0.028
(sum) χ² =				0.067

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

A. Table 1 with χ² = 1.511 is correct and we REJECT the null hypothesis Incorrect B. Table 2 with χ² = 1.545 is correct and we REJECT the null hypothesis Incorrect C. Table 3 with χ² = 0.067 is correct and we REJECT the null hypothesis Incorrect D. Table 1 with χ² = 1.511 is correct and we ACCEPT the null hypothesis Correct E. Table 2 with χ² = 1.545 is correct and we ACCEPT the null hypothesis Incorrect F. Table 3 with χ² = 0.067 is correct and we ACCEPT the null hypothesis Incorrect MC

9c35_4ac9

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	24	^(24-30)²⁄ _24²	0.062
Green Round (yyR–)	30	35	^(35-30)²⁄ _35²	0.020
Green Wrinkled (yyrr)	10	14	^(14-10)²⁄ _14²	0.082
(sum) χ² =				0.166

Table 2
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	35	^(35-30)²⁄ ₃₀	0.833
Green Wrinkled (yyrr)	10	14	^(14-10)²⁄ ₁₀	1.600
(sum) χ² =				3.733

Table 3
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	35	^(35-30)⁄ ₃₀	0.167
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 accept or reject the null hypothesis using the information provided.

A. Table 1 with χ² = 0.166 is correct and we REJECT the null hypothesis Incorrect B. Table 2 with χ² = 3.733 is correct and we REJECT the null hypothesis Incorrect C. Table 3 with χ² = 0.333 is correct and we REJECT the null hypothesis Incorrect D. Table 1 with χ² = 0.166 is correct and we ACCEPT the null hypothesis Incorrect E. Table 2 with χ² = 3.733 is correct and we ACCEPT the null hypothesis Correct F. Table 3 with χ² = 0.333 is correct and we ACCEPT the null hypothesis Incorrect MC

6483_b191

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	22	^(22-30)²⁄ ₂₂	2.909
Green Round (yyR–)	30	34	^(34-30)²⁄ ₃₄	0.471
Green Wrinkled (yyrr)	10	18	^(18-10)²⁄ ₁₈	3.556
(sum) χ² =				7.121

Table 2
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	34	^(34-30)²⁄ ₃₀	0.533
Green Wrinkled (yyrr)	10	18	^(18-10)²⁄ ₁₀	6.400
(sum) χ² =				9.244

Table 3
Phenotype	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	86	^(86-90)²⁄ _86²	0.002
Yellow Wrinkled (Y–rr)	30	22	^(22-30)²⁄ _22²	0.132
Green Round (yyR–)	30	34	^(34-30)²⁄ _34²	0.014
Green Wrinkled (yyrr)	10	18	^(18-10)²⁄ _18²	0.198
(sum) χ² =				0.346

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

A. Table 1 with χ² = 7.121 is correct and we REJECT the null hypothesis Incorrect B. Table 2 with χ² = 9.244 is correct and we REJECT the null hypothesis Correct C. Table 3 with χ² = 0.346 is correct and we REJECT the null hypothesis Incorrect D. Table 1 with χ² = 7.121 is correct and we ACCEPT the null hypothesis Incorrect E. Table 2 with χ² = 9.244 is correct and we ACCEPT the null hypothesis Incorrect F. Table 3 with χ² = 0.346 is correct and we ACCEPT the null hypothesis Incorrect MC

d238_39cb

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	23	^(23-30)²⁄ ₂₃	2.130
Green Round (yyR–)	30	27	^(27-30)²⁄ ₂₇	0.333
Green Wrinkled (yyrr)	10	13	^(13-10)²⁄ ₁₃	0.692
(sum) χ² =				3.661

Table 2
Phenotype	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	97	^(97-90)²⁄ ₉₀	0.544
Yellow Wrinkled (Y–rr)	30	23	^(23-30)²⁄ ₃₀	1.633
Green Round (yyR–)	30	27	^(27-30)²⁄ ₃₀	0.300
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	23	^(23-30)²⁄ _23²	0.093
Green Round (yyR–)	30	27	^(27-30)²⁄ _27²	0.012
Green Wrinkled (yyrr)	10	13	^(13-10)²⁄ _13²	0.053
(sum) χ² =				0.163

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

A. Table 1 with χ² = 3.661 is correct and we REJECT the null hypothesis Incorrect B. Table 2 with χ² = 3.378 is correct and we REJECT the null hypothesis Incorrect C. Table 3 with χ² = 0.163 is correct and we REJECT the null hypothesis Incorrect D. Table 1 with χ² = 3.661 is correct and we ACCEPT the null hypothesis Incorrect E. Table 2 with χ² = 3.378 is correct and we ACCEPT the null hypothesis Correct F. Table 3 with χ² = 0.163 is correct and we ACCEPT the null hypothesis Incorrect MC

dd07_254b

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⁄ _81²	0.012
Yellow Wrinkled (Y–rr)	30	29	^(29-30)²⁄ _29²	0.001
Green Round (yyR–)	30	35	^(35-30)²⁄ _35²	0.020
Green Wrinkled (yyrr)	10	15	^(15-10)²⁄ _15²	0.111
(sum) χ² =				0.145

Table 2
Phenotype	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	81	^(81-90)⁄ ₉₀	-0.100
Yellow Wrinkled (Y–rr)	30	29	^(29-30)⁄ ₃₀	-0.033
Green Round (yyR–)	30	35	^(35-30)⁄ ₃₀	0.167
Green Wrinkled (yyrr)	10	15	^(15-10)⁄ ₁₀	0.500
(sum) χ² =				0.533

Table 3
Phenotype	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	81	^(81-90)²⁄ ₉₀	0.900
Yellow Wrinkled (Y–rr)	30	29	^(29-30)²⁄ ₃₀	0.033
Green Round (yyR–)	30	35	^(35-30)²⁄ ₃₀	0.833
Green Wrinkled (yyrr)	10	15	^(15-10)²⁄ ₁₀	2.500
(sum) χ² =				4.267

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

A. Table 1 with χ² = 0.145 is correct and we REJECT the null hypothesis Incorrect B. Table 2 with χ² = 0.533 is correct and we REJECT the null hypothesis Incorrect C. Table 3 with χ² = 4.267 is correct and we REJECT the null hypothesis Incorrect D. Table 1 with χ² = 0.145 is correct and we ACCEPT the null hypothesis Incorrect E. Table 2 with χ² = 0.533 is correct and we ACCEPT the null hypothesis Incorrect F. Table 3 with χ² = 4.267 is correct and we ACCEPT the null hypothesis Correct MC

d413_d84f

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	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 2
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 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 accept or reject the null hypothesis using the information provided.

A. Table 1 with χ² = 0.438 is correct and we REJECT the null hypothesis Incorrect B. Table 2 with χ² = 14.911 is correct and we REJECT the null hypothesis Correct C. Table 3 with χ² = 0.844 is correct and we REJECT the null hypothesis Incorrect D. Table 1 with χ² = 0.438 is correct and we ACCEPT the null hypothesis Incorrect E. Table 2 with χ² = 14.911 is correct and we ACCEPT the null hypothesis Incorrect F. Table 3 with χ² = 0.844 is correct and we ACCEPT the null hypothesis Incorrect MC

02eb_49b1

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⁄ _96²	0.004
Yellow Wrinkled (Y–rr)	30	29	^(29-30)²⁄ _29²	0.001
Green Round (yyR–)	30	27	^(27-30)²⁄ _27²	0.012
Green Wrinkled (yyrr)	10	8	^(8-10)²⁄ _8²	0.062
(sum) χ² =				0.080

Table 2
Phenotype	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	96	^(96-90)⁄ ₉₀	0.067
Yellow Wrinkled (Y–rr)	30	29	^(29-30)⁄ ₃₀	-0.033
Green Round (yyR–)	30	27	^(27-30)⁄ ₃₀	-0.100
Green Wrinkled (yyrr)	10	8	^(8-10)⁄ ₁₀	-0.200
(sum) χ² =				-0.267

Table 3
Phenotype	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	96	^(96-90)²⁄ ₉₀	0.400
Yellow Wrinkled (Y–rr)	30	29	^(29-30)²⁄ ₃₀	0.033
Green Round (yyR–)	30	27	^(27-30)²⁄ ₃₀	0.300
Green Wrinkled (yyrr)	10	8	^(8-10)²⁄ ₁₀	0.400
(sum) χ² =				1.133

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

A. Table 1 with χ² = 0.080 is correct and we REJECT the null hypothesis Incorrect B. Table 2 with χ² = -0.267 is correct and we REJECT the null hypothesis Incorrect C. Table 3 with χ² = 1.133 is correct and we REJECT the null hypothesis Incorrect D. Table 1 with χ² = 0.080 is correct and we ACCEPT the null hypothesis Incorrect E. Table 2 with χ² = -0.267 is correct and we ACCEPT the null hypothesis Incorrect F. Table 3 with χ² = 1.133 is correct and we ACCEPT the null hypothesis Correct MC

7407_fbe1

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⁄ _96²	0.004
Yellow Wrinkled (Y–rr)	30	26	^(26-30)²⁄ _26²	0.024
Green Round (yyR–)	30	24	^(24-30)²⁄ _24²	0.062
Green Wrinkled (yyrr)	10	14	^(14-10)²⁄ _14²	0.082
(sum) χ² =				0.172

Table 2
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	24	^(24-30)²⁄ ₃₀	1.200
Green Wrinkled (yyrr)	10	14	^(14-10)²⁄ ₁₀	1.600
(sum) χ² =				3.733

Table 3
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	24	^(24-30)²⁄ ₂₄	1.500
Green Wrinkled (yyrr)	10	14	^(14-10)²⁄ ₁₄	1.143
(sum) χ² =				3.633

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

A. Table 1 with χ² = 0.172 is correct and we REJECT the null hypothesis Incorrect B. Table 2 with χ² = 3.733 is correct and we REJECT the null hypothesis Incorrect C. Table 3 with χ² = 3.633 is correct and we REJECT the null hypothesis Incorrect D. Table 1 with χ² = 0.172 is correct and we ACCEPT the null hypothesis Incorrect E. Table 2 with χ² = 3.733 is correct and we ACCEPT the null hypothesis Correct F. Table 3 with χ² = 3.633 is correct and we ACCEPT the null hypothesis Incorrect MC

0bf5_ea6f

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⁄ ₇₄	3.459
Yellow Wrinkled (Y–rr)	30	19	^(19-30)²⁄ ₁₉	6.368
Green Round (yyR–)	30	49	^(49-30)²⁄ ₄₉	7.367
Green Wrinkled (yyrr)	10	18	^(18-10)²⁄ ₁₈	3.556
(sum) χ² =				20.751

Table 2
Phenotype	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	74	^(74-90)²⁄ ₉₀	2.844
Yellow Wrinkled (Y–rr)	30	19	^(19-30)²⁄ ₃₀	4.033
Green Round (yyR–)	30	49	^(49-30)²⁄ ₃₀	12.033
Green Wrinkled (yyrr)	10	18	^(18-10)²⁄ ₁₀	6.400
(sum) χ² =				25.311

Table 3
Phenotype	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	74	^(74-90)²⁄ _74²	0.047
Yellow Wrinkled (Y–rr)	30	19	^(19-30)²⁄ _19²	0.335
Green Round (yyR–)	30	49	^(49-30)²⁄ _49²	0.150
Green Wrinkled (yyrr)	10	18	^(18-10)²⁄ _18²	0.198
(sum) χ² =				0.730

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

A. Table 1 with χ² = 20.751 is correct and we REJECT the null hypothesis Incorrect B. Table 2 with χ² = 25.311 is correct and we REJECT the null hypothesis Correct C. Table 3 with χ² = 0.730 is correct and we REJECT the null hypothesis Incorrect D. Table 1 with χ² = 20.751 is correct and we ACCEPT the null hypothesis Incorrect E. Table 2 with χ² = 25.311 is correct and we ACCEPT the null hypothesis Incorrect F. Table 3 with χ² = 0.730 is correct and we ACCEPT the null hypothesis Incorrect MC

b988_88c7

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	13	^(13-30)²⁄ ₃₀	9.633
Green Round (yyR–)	30	47	^(47-30)²⁄ ₃₀	9.633
Green Wrinkled (yyrr)	10	19	^(19-10)²⁄ ₁₀	8.100
(sum) χ² =				28.267

Table 2
Phenotype	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	81	^(81-90)⁄ ₉₀	-0.100
Yellow Wrinkled (Y–rr)	30	13	^(13-30)⁄ ₃₀	-0.567
Green Round (yyR–)	30	47	^(47-30)⁄ ₃₀	0.567
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⁄ _81²	0.012
Yellow Wrinkled (Y–rr)	30	13	^(13-30)²⁄ _13²	1.710
Green Round (yyR–)	30	47	^(47-30)²⁄ _47²	0.131
Green Wrinkled (yyrr)	10	19	^(19-10)²⁄ _19²	0.224
(sum) χ² =				2.078

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

A. Table 1 with χ² = 28.267 is correct and we REJECT the null hypothesis Correct B. Table 2 with χ² = 0.800 is correct and we REJECT the null hypothesis Incorrect C. Table 3 with χ² = 2.078 is correct and we REJECT the null hypothesis Incorrect D. Table 1 with χ² = 28.267 is correct and we ACCEPT the null hypothesis Incorrect E. Table 2 with χ² = 0.800 is correct and we ACCEPT the null hypothesis Incorrect F. Table 3 with χ² = 2.078 is correct and we ACCEPT the null hypothesis Incorrect MC

0bba_edcb

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	15	^(15-30)²⁄ ₁₅	15.000
Green Round (yyR–)	30	41	^(41-30)²⁄ ₄₁	2.951
Green Wrinkled (yyrr)	10	17	^(17-10)²⁄ ₁₇	2.882
(sum) χ² =				20.937

Table 2
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	41	^(41-30)²⁄ ₃₀	4.033
Green Wrinkled (yyrr)	10	17	^(17-10)²⁄ ₁₀	4.900
(sum) χ² =				16.533

Table 3
Phenotype	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	87	^(87-90)⁄ ₉₀	-0.033
Yellow Wrinkled (Y–rr)	30	15	^(15-30)⁄ ₃₀	-0.500
Green Round (yyR–)	30	41	^(41-30)⁄ ₃₀	0.367
Green Wrinkled (yyrr)	10	17	^(17-10)⁄ ₁₀	0.700
(sum) χ² =				0.533

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

A. Table 1 with χ² = 20.937 is correct and we REJECT the null hypothesis Incorrect B. Table 2 with χ² = 16.533 is correct and we REJECT the null hypothesis Correct C. Table 3 with χ² = 0.533 is correct and we REJECT the null hypothesis Incorrect D. Table 1 with χ² = 20.937 is correct and we ACCEPT the null hypothesis Incorrect E. Table 2 with χ² = 16.533 is correct and we ACCEPT the null hypothesis Incorrect F. Table 3 with χ² = 0.533 is correct and we ACCEPT the null hypothesis Incorrect MC

0e1b_9dcc

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⁄ ₉₆	0.375
Yellow Wrinkled (Y–rr)	30	28	^(28-30)²⁄ ₂₈	0.143
Green Round (yyR–)	30	23	^(23-30)²⁄ ₂₃	2.130
Green Wrinkled (yyrr)	10	13	^(13-10)²⁄ ₁₃	0.692
(sum) χ² =				3.341

Table 2
Phenotype	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	96	^(96-90)²⁄ _96²	0.004
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	13	^(13-10)²⁄ _13²	0.053
(sum) χ² =				0.155

Table 3
Phenotype	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	96	^(96-90)²⁄ ₉₀	0.400
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	13	^(13-10)²⁄ ₁₀	0.900
(sum) χ² =				3.067

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

A. Table 1 with χ² = 3.341 is correct and we REJECT the null hypothesis Incorrect B. Table 2 with χ² = 0.155 is correct and we REJECT the null hypothesis Incorrect C. Table 3 with χ² = 3.067 is correct and we REJECT the null hypothesis Incorrect D. Table 1 with χ² = 3.341 is correct and we ACCEPT the null hypothesis Incorrect E. Table 2 with χ² = 0.155 is correct and we ACCEPT the null hypothesis Incorrect F. Table 3 with χ² = 3.067 is correct and we ACCEPT the null hypothesis Correct MC

9674_ddab

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	24	^(24-30)²⁄ _24²	0.062
Green Round (yyR–)	30	28	^(28-30)²⁄ _28²	0.005
Green Wrinkled (yyrr)	10	7	^(7-10)²⁄ _7²	0.184
(sum) χ² =				0.263

Table 2
Phenotype	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	101	^(101-90)²⁄ ₉₀	1.344
Yellow Wrinkled (Y–rr)	30	24	^(24-30)²⁄ ₃₀	1.200
Green Round (yyR–)	30	28	^(28-30)²⁄ ₃₀	0.133
Green Wrinkled (yyrr)	10	7	^(7-10)²⁄ ₁₀	0.900
(sum) χ² =				3.578

Table 3
Phenotype	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	101	^(101-90)⁄ ₉₀	0.122
Yellow Wrinkled (Y–rr)	30	24	^(24-30)⁄ ₃₀	-0.200
Green Round (yyR–)	30	28	^(28-30)⁄ ₃₀	-0.067
Green Wrinkled (yyrr)	10	7	^(7-10)⁄ ₁₀	-0.300
(sum) χ² =				-0.444

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

A. Table 1 with χ² = 0.263 is correct and we REJECT the null hypothesis Incorrect B. Table 2 with χ² = 3.578 is correct and we REJECT the null hypothesis Incorrect C. Table 3 with χ² = -0.444 is correct and we REJECT the null hypothesis Incorrect D. Table 1 with χ² = 0.263 is correct and we ACCEPT the null hypothesis Incorrect E. Table 2 with χ² = 3.578 is correct and we ACCEPT the null hypothesis Correct F. Table 3 with χ² = -0.444 is correct and we ACCEPT the null hypothesis Incorrect MC

f1a5_c777

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	22	^(22-30)²⁄ ₃₀	2.133
Green Round (yyR–)	30	45	^(45-30)²⁄ ₃₀	7.500
Green Wrinkled (yyrr)	10	17	^(17-10)²⁄ ₁₀	4.900
(sum) χ² =				16.711

Table 2
Phenotype	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	76	^(76-90)²⁄ ₇₆	2.579
Yellow Wrinkled (Y–rr)	30	22	^(22-30)²⁄ ₂₂	2.909
Green Round (yyR–)	30	45	^(45-30)²⁄ ₄₅	5.000
Green Wrinkled (yyrr)	10	17	^(17-10)²⁄ ₁₇	2.882
(sum) χ² =				13.370

Table 3
Phenotype	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	76	^(76-90)²⁄ _76²	0.034
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	17	^(17-10)²⁄ _17²	0.170
(sum) χ² =				0.447

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

A. Table 1 with χ² = 16.711 is correct and we REJECT the null hypothesis Correct B. Table 2 with χ² = 13.370 is correct and we REJECT the null hypothesis Incorrect C. Table 3 with χ² = 0.447 is correct and we REJECT the null hypothesis Incorrect D. Table 1 with χ² = 16.711 is correct and we ACCEPT the null hypothesis Incorrect E. Table 2 with χ² = 13.370 is correct and we ACCEPT the null hypothesis Incorrect F. Table 3 with χ² = 0.447 is correct and we ACCEPT the null hypothesis Incorrect MC

4235_8762

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⁄ _96²	0.004
Yellow Wrinkled (Y–rr)	30	25	^(25-30)²⁄ _25²	0.040
Green Round (yyR–)	30	31	^(31-30)²⁄ _31²	0.001
Green Wrinkled (yyrr)	10	8	^(8-10)²⁄ _8²	0.062
(sum) χ² =				0.107

Table 2
Phenotype	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	96	^(96-90)⁄ ₉₀	0.067
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	8	^(8-10)⁄ ₁₀	-0.200
(sum) χ² =				-0.267

Table 3
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	31	^(31-30)²⁄ ₃₀	0.033
Green Wrinkled (yyrr)	10	8	^(8-10)²⁄ ₁₀	0.400
(sum) χ² =				1.667

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

A. Table 1 with χ² = 0.107 is correct and we REJECT the null hypothesis Incorrect B. Table 2 with χ² = -0.267 is correct and we REJECT the null hypothesis Incorrect C. Table 3 with χ² = 1.667 is correct and we REJECT the null hypothesis Incorrect D. Table 1 with χ² = 0.107 is correct and we ACCEPT the null hypothesis Incorrect E. Table 2 with χ² = -0.267 is correct and we ACCEPT the null hypothesis Incorrect F. Table 3 with χ² = 1.667 is correct and we ACCEPT the null hypothesis Correct MC

07fb_19e2

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)⁄ ₉₀	0.044
Yellow Wrinkled (Y–rr)	30	28	^(28-30)⁄ ₃₀	-0.067
Green Round (yyR–)	30	31	^(31-30)⁄ ₃₀	0.033
Green Wrinkled (yyrr)	10	7	^(7-10)⁄ ₁₀	-0.300
(sum) χ² =				-0.289

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	31	^(31-30)²⁄ ₃₀	0.033
Green Wrinkled (yyrr)	10	7	^(7-10)²⁄ ₁₀	0.900
(sum) χ² =				1.244

Table 3
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	31	^(31-30)²⁄ ₃₁	0.032
Green Wrinkled (yyrr)	10	7	^(7-10)²⁄ ₇	1.286
(sum) χ² =				1.631

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

A. Table 1 with χ² = -0.289 is correct and we REJECT the null hypothesis Incorrect B. Table 2 with χ² = 1.244 is correct and we REJECT the null hypothesis Incorrect C. Table 3 with χ² = 1.631 is correct and we REJECT the null hypothesis Incorrect D. Table 1 with χ² = -0.289 is correct and we ACCEPT the null hypothesis Incorrect E. Table 2 with χ² = 1.244 is correct and we ACCEPT the null hypothesis Correct F. Table 3 with χ² = 1.631 is correct and we ACCEPT the null hypothesis Incorrect MC

d528_3e9f

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	20	^(20-30)²⁄ _20²	0.250
Green Round (yyR–)	30	47	^(47-30)²⁄ _47²	0.131
Green Wrinkled (yyrr)	10	14	^(14-10)²⁄ _14²	0.082
(sum) χ² =				0.482

Table 2
Phenotype	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	79	^(79-90)⁄ ₉₀	-0.122
Yellow Wrinkled (Y–rr)	30	20	^(20-30)⁄ ₃₀	-0.333
Green Round (yyR–)	30	47	^(47-30)⁄ ₃₀	0.567
Green Wrinkled (yyrr)	10	14	^(14-10)⁄ ₁₀	0.400
(sum) χ² =				0.511

Table 3
Phenotype	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	79	^(79-90)²⁄ ₉₀	1.344
Yellow Wrinkled (Y–rr)	30	20	^(20-30)²⁄ ₃₀	3.333
Green Round (yyR–)	30	47	^(47-30)²⁄ ₃₀	9.633
Green Wrinkled (yyrr)	10	14	^(14-10)²⁄ ₁₀	1.600
(sum) χ² =				15.911

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

A. Table 1 with χ² = 0.482 is correct and we REJECT the null hypothesis Incorrect B. Table 2 with χ² = 0.511 is correct and we REJECT the null hypothesis Incorrect C. Table 3 with χ² = 15.911 is correct and we REJECT the null hypothesis Correct D. Table 1 with χ² = 0.482 is correct and we ACCEPT the null hypothesis Incorrect E. Table 2 with χ² = 0.511 is correct and we ACCEPT the null hypothesis Incorrect F. Table 3 with χ² = 15.911 is correct and we ACCEPT the null hypothesis Incorrect MC

1a7f_80b2

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	25	^(25-30)²⁄ ₂₅	1.000
Green Round (yyR–)	30	47	^(47-30)²⁄ ₄₇	6.149
Green Wrinkled (yyrr)	10	12	^(12-10)²⁄ ₁₂	0.333
(sum) χ² =				10.061

Table 2
Phenotype	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	76	^(76-90)²⁄ ₉₀	2.178
Yellow Wrinkled (Y–rr)	30	25	^(25-30)²⁄ ₃₀	0.833
Green Round (yyR–)	30	47	^(47-30)²⁄ ₃₀	9.633
Green Wrinkled (yyrr)	10	12	^(12-10)²⁄ ₁₀	0.400
(sum) χ² =				13.044

Table 3
Phenotype	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	76	^(76-90)⁄ ₉₀	-0.156
Yellow Wrinkled (Y–rr)	30	25	^(25-30)⁄ ₃₀	-0.167
Green Round (yyR–)	30	47	^(47-30)⁄ ₃₀	0.567
Green Wrinkled (yyrr)	10	12	^(12-10)⁄ ₁₀	0.200
(sum) χ² =				0.444

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

A. Table 1 with χ² = 10.061 is correct and we REJECT the null hypothesis Incorrect B. Table 2 with χ² = 13.044 is correct and we REJECT the null hypothesis Correct C. Table 3 with χ² = 0.444 is correct and we REJECT the null hypothesis Incorrect D. Table 1 with χ² = 10.061 is correct and we ACCEPT the null hypothesis Incorrect E. Table 2 with χ² = 13.044 is correct and we ACCEPT the null hypothesis Incorrect F. Table 3 with χ² = 0.444 is correct and we ACCEPT the null hypothesis Incorrect MC

6f2c_939e

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⁄ ₇₄	3.459
Yellow Wrinkled (Y–rr)	30	23	^(23-30)²⁄ ₂₃	2.130
Green Round (yyR–)	30	44	^(44-30)²⁄ ₄₄	4.455
Green Wrinkled (yyrr)	10	19	^(19-10)²⁄ ₁₉	4.263
(sum) χ² =				14.308

Table 2
Phenotype	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	74	^(74-90)²⁄ ₉₀	2.844
Yellow Wrinkled (Y–rr)	30	23	^(23-30)²⁄ ₃₀	1.633
Green Round (yyR–)	30	44	^(44-30)²⁄ ₃₀	6.533
Green Wrinkled (yyrr)	10	19	^(19-10)²⁄ ₁₀	8.100
(sum) χ² =				19.111

Table 3
Phenotype	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	74	^(74-90)⁄ ₉₀	-0.178
Yellow Wrinkled (Y–rr)	30	23	^(23-30)⁄ ₃₀	-0.233
Green Round (yyR–)	30	44	^(44-30)⁄ ₃₀	0.467
Green Wrinkled (yyrr)	10	19	^(19-10)⁄ ₁₀	0.900
(sum) χ² =				0.956

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

A. Table 1 with χ² = 14.308 is correct and we REJECT the null hypothesis Incorrect B. Table 2 with χ² = 19.111 is correct and we REJECT the null hypothesis Correct C. Table 3 with χ² = 0.956 is correct and we REJECT the null hypothesis Incorrect D. Table 1 with χ² = 14.308 is correct and we ACCEPT the null hypothesis Incorrect E. Table 2 with χ² = 19.111 is correct and we ACCEPT the null hypothesis Incorrect F. Table 3 with χ² = 0.956 is correct and we ACCEPT the null hypothesis Incorrect MC

96b5_2a48

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⁄ ₉₀	0.544
Yellow Wrinkled (Y–rr)	30	27	^(27-30)²⁄ ₃₀	0.300
Green Round (yyR–)	30	29	^(29-30)²⁄ ₃₀	0.033
Green Wrinkled (yyrr)	10	7	^(7-10)²⁄ ₁₀	0.900
(sum) χ² =				1.778

Table 2
Phenotype	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	97	^(97-90)²⁄ ₉₇	0.505
Yellow Wrinkled (Y–rr)	30	27	^(27-30)²⁄ ₂₇	0.333
Green Round (yyR–)	30	29	^(29-30)²⁄ ₂₉	0.034
Green Wrinkled (yyrr)	10	7	^(7-10)²⁄ ₇	1.286
(sum) χ² =				2.159

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	29	^(29-30)²⁄ _29²	0.001
Green Wrinkled (yyrr)	10	7	^(7-10)²⁄ _7²	0.184
(sum) χ² =				0.202

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

A. Table 1 with χ² = 1.778 is correct and we REJECT the null hypothesis Incorrect B. Table 2 with χ² = 2.159 is correct and we REJECT the null hypothesis Incorrect C. Table 3 with χ² = 0.202 is correct and we REJECT the null hypothesis Incorrect D. Table 1 with χ² = 1.778 is correct and we ACCEPT the null hypothesis Correct E. Table 2 with χ² = 2.159 is correct and we ACCEPT the null hypothesis Incorrect F. Table 3 with χ² = 0.202 is correct and we ACCEPT the null hypothesis Incorrect MC

db5a_84ef

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	20	^(20-30)²⁄ _20²	0.250
Green Round (yyR–)	30	49	^(49-30)²⁄ _49²	0.150
Green Wrinkled (yyrr)	10	16	^(16-10)²⁄ _16²	0.141
(sum) χ² =				0.581

Table 2
Phenotype	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	75	^(75-90)²⁄ ₇₅	3.000
Yellow Wrinkled (Y–rr)	30	20	^(20-30)²⁄ ₂₀	5.000
Green Round (yyR–)	30	49	^(49-30)²⁄ ₄₉	7.367
Green Wrinkled (yyrr)	10	16	^(16-10)²⁄ ₁₆	2.250
(sum) χ² =				17.617

Table 3
Phenotype	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	75	^(75-90)²⁄ ₉₀	2.500
Yellow Wrinkled (Y–rr)	30	20	^(20-30)²⁄ ₃₀	3.333
Green Round (yyR–)	30	49	^(49-30)²⁄ ₃₀	12.033
Green Wrinkled (yyrr)	10	16	^(16-10)²⁄ ₁₀	3.600
(sum) χ² =				21.467

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

A. Table 1 with χ² = 0.581 is correct and we REJECT the null hypothesis Incorrect B. Table 2 with χ² = 17.617 is correct and we REJECT the null hypothesis Incorrect C. Table 3 with χ² = 21.467 is correct and we REJECT the null hypothesis Correct D. Table 1 with χ² = 0.581 is correct and we ACCEPT the null hypothesis Incorrect E. Table 2 with χ² = 17.617 is correct and we ACCEPT the null hypothesis Incorrect F. Table 3 with χ² = 21.467 is correct and we ACCEPT the null hypothesis Incorrect MC

1d61_8db6

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	12	^(12-30)⁄ ₃₀	-0.600
Green Round (yyR–)	30	43	^(43-30)⁄ ₃₀	0.433
Green Wrinkled (yyrr)	10	18	^(18-10)⁄ ₁₀	0.800
(sum) χ² =				0.600

Table 2
Phenotype	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	87	^(87-90)²⁄ _87²	0.001
Yellow Wrinkled (Y–rr)	30	12	^(12-30)²⁄ _12²	2.250
Green Round (yyR–)	30	43	^(43-30)²⁄ _43²	0.091
Green Wrinkled (yyrr)	10	18	^(18-10)²⁄ _18²	0.198
(sum) χ² =				2.540

Table 3
Phenotype	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	87	^(87-90)²⁄ ₉₀	0.100
Yellow Wrinkled (Y–rr)	30	12	^(12-30)²⁄ ₃₀	10.800
Green Round (yyR–)	30	43	^(43-30)²⁄ ₃₀	5.633
Green Wrinkled (yyrr)	10	18	^(18-10)²⁄ ₁₀	6.400
(sum) χ² =				22.933

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

A. Table 1 with χ² = 0.600 is correct and we REJECT the null hypothesis Incorrect B. Table 2 with χ² = 2.540 is correct and we REJECT the null hypothesis Incorrect C. Table 3 with χ² = 22.933 is correct and we REJECT the null hypothesis Correct D. Table 1 with χ² = 0.600 is correct and we ACCEPT the null hypothesis Incorrect E. Table 2 with χ² = 2.540 is correct and we ACCEPT the null hypothesis Incorrect F. Table 3 with χ² = 22.933 is correct and we ACCEPT the null hypothesis Incorrect MC

c002_d0b2

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	25	^(25-30)⁄ 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 =				0.067

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	30	^(30-30)²⁄ ₃₀	0.000
Green Wrinkled (yyrr)	10	12	^(12-10)²⁄ ₁₀	0.400
(sum) χ² =				1.333

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	30	^(30-30)²⁄ _30²	0.000
Green Wrinkled (yyrr)	10	12	^(12-10)²⁄ _12²	0.028
(sum) χ² =				0.069

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

A. Table 1 with χ² = 0.067 is correct and we REJECT the null hypothesis Incorrect B. Table 2 with χ² = 1.333 is correct and we REJECT the null hypothesis Incorrect C. Table 3 with χ² = 0.069 is correct and we REJECT the null hypothesis Incorrect D. Table 1 with χ² = 0.067 is correct and we ACCEPT the null hypothesis Incorrect E. Table 2 with χ² = 1.333 is correct and we ACCEPT the null hypothesis Correct F. Table 3 with χ² = 0.069 is correct and we ACCEPT the null hypothesis Incorrect MC

8712_67c3

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	28	^(28-30)⁄ ₃₀	-0.067
Green Round (yyR–)	30	35	^(35-30)⁄ ₃₀	0.167
Green Wrinkled (yyrr)	10	4	^(4-10)⁄ ₁₀	-0.600
(sum) χ² =				-0.467

Table 2
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	35	^(35-30)²⁄ ₃₅	0.714
Green Wrinkled (yyrr)	10	4	^(4-10)²⁄ ₄	9.000
(sum) χ² =				9.954

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	35	^(35-30)²⁄ ₃₀	0.833
Green Wrinkled (yyrr)	10	4	^(4-10)²⁄ ₁₀	3.600
(sum) χ² =				4.667

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

A. Table 1 with χ² = -0.467 is correct and we REJECT the null hypothesis Incorrect B. Table 2 with χ² = 9.954 is correct and we REJECT the null hypothesis Incorrect C. Table 3 with χ² = 4.667 is correct and we REJECT the null hypothesis Incorrect D. Table 1 with χ² = -0.467 is correct and we ACCEPT the null hypothesis Incorrect E. Table 2 with χ² = 9.954 is correct and we ACCEPT the null hypothesis Incorrect F. Table 3 with χ² = 4.667 is correct and we ACCEPT the null hypothesis Correct MC

04f1_ca4a

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	67	^(67-90)⁄ ₉₀	-0.256
Yellow Wrinkled (Y–rr)	30	20	^(20-30)⁄ ₃₀	-0.333
Green Round (yyR–)	30	55	^(55-30)⁄ ₃₀	0.833
Green Wrinkled (yyrr)	10	18	^(18-10)⁄ ₁₀	0.800
(sum) χ² =				1.044

Table 2
Phenotype	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	67	^(67-90)²⁄ ₆₇	7.896
Yellow Wrinkled (Y–rr)	30	20	^(20-30)²⁄ ₂₀	5.000
Green Round (yyR–)	30	55	^(55-30)²⁄ ₅₅	11.364
Green Wrinkled (yyrr)	10	18	^(18-10)²⁄ ₁₈	3.556
(sum) χ² =				27.815

Table 3
Phenotype	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	67	^(67-90)²⁄ ₉₀	5.878
Yellow Wrinkled (Y–rr)	30	20	^(20-30)²⁄ ₃₀	3.333
Green Round (yyR–)	30	55	^(55-30)²⁄ ₃₀	20.833
Green Wrinkled (yyrr)	10	18	^(18-10)²⁄ ₁₀	6.400
(sum) χ² =				36.444

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

A. Table 1 with χ² = 1.044 is correct and we REJECT the null hypothesis Incorrect B. Table 2 with χ² = 27.815 is correct and we REJECT the null hypothesis Incorrect C. Table 3 with χ² = 36.444 is correct and we REJECT the null hypothesis Correct D. Table 1 with χ² = 1.044 is correct and we ACCEPT the null hypothesis Incorrect E. Table 2 with χ² = 27.815 is correct and we ACCEPT the null hypothesis Incorrect F. Table 3 with χ² = 36.444 is correct and we ACCEPT the null hypothesis Incorrect MC

afa7_47b5

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⁄ _81²	0.012
Yellow Wrinkled (Y–rr)	30	40	^(40-30)²⁄ _40²	0.062
Green Round (yyR–)	30	27	^(27-30)²⁄ _27²	0.012
Green Wrinkled (yyrr)	10	12	^(12-10)²⁄ _12²	0.028
(sum) χ² =				0.115

Table 2
Phenotype	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	81	^(81-90)²⁄ ₈₁	1.000
Yellow Wrinkled (Y–rr)	30	40	^(40-30)²⁄ ₄₀	2.500
Green Round (yyR–)	30	27	^(27-30)²⁄ ₂₇	0.333
Green Wrinkled (yyrr)	10	12	^(12-10)²⁄ ₁₂	0.333
(sum) χ² =				4.167

Table 3
Phenotype	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	81	^(81-90)²⁄ ₉₀	0.900
Yellow Wrinkled (Y–rr)	30	40	^(40-30)²⁄ ₃₀	3.333
Green Round (yyR–)	30	27	^(27-30)²⁄ ₃₀	0.300
Green Wrinkled (yyrr)	10	12	^(12-10)²⁄ ₁₀	0.400
(sum) χ² =				4.933

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

A. Table 1 with χ² = 0.115 is correct and we REJECT the null hypothesis Incorrect B. Table 2 with χ² = 4.167 is correct and we REJECT the null hypothesis Incorrect C. Table 3 with χ² = 4.933 is correct and we REJECT the null hypothesis Incorrect D. Table 1 with χ² = 0.115 is correct and we ACCEPT the null hypothesis Incorrect E. Table 2 with χ² = 4.167 is correct and we ACCEPT the null hypothesis Incorrect F. Table 3 with χ² = 4.933 is correct and we ACCEPT the null hypothesis Correct MC

4ca0_2449

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	20	^(20-30)⁄ ₃₀	-0.333
Green Round (yyR–)	30	44	^(44-30)⁄ ₃₀	0.467
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⁄ ₇₉	1.532
Yellow Wrinkled (Y–rr)	30	20	^(20-30)²⁄ ₂₀	5.000
Green Round (yyR–)	30	44	^(44-30)²⁄ ₄₄	4.455
Green Wrinkled (yyrr)	10	17	^(17-10)²⁄ ₁₇	2.882
(sum) χ² =				13.869

Table 3
Phenotype	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	79	^(79-90)²⁄ ₉₀	1.344
Yellow Wrinkled (Y–rr)	30	20	^(20-30)²⁄ ₃₀	3.333
Green Round (yyR–)	30	44	^(44-30)²⁄ ₃₀	6.533
Green Wrinkled (yyrr)	10	17	^(17-10)²⁄ ₁₀	4.900
(sum) χ² =				16.111

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

A. Table 1 with χ² = 0.711 is correct and we REJECT the null hypothesis Incorrect B. Table 2 with χ² = 13.869 is correct and we REJECT the null hypothesis Incorrect C. Table 3 with χ² = 16.111 is correct and we REJECT the null hypothesis Correct D. Table 1 with χ² = 0.711 is correct and we ACCEPT the null hypothesis Incorrect E. Table 2 with χ² = 13.869 is correct and we ACCEPT the null hypothesis Incorrect F. Table 3 with χ² = 16.111 is correct and we ACCEPT the null hypothesis Incorrect MC

a8bb_bc42

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	25	^(25-30)²⁄ _25²	0.040
Green Round (yyR–)	30	42	^(42-30)²⁄ _42²	0.082
Green Wrinkled (yyrr)	10	17	^(17-10)²⁄ _17²	0.170
(sum) χ² =				0.325

Table 2
Phenotype	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	76	^(76-90)²⁄ ₉₀	2.178
Yellow Wrinkled (Y–rr)	30	25	^(25-30)²⁄ ₃₀	0.833
Green Round (yyR–)	30	42	^(42-30)²⁄ ₃₀	4.800
Green Wrinkled (yyrr)	10	17	^(17-10)²⁄ ₁₀	4.900
(sum) χ² =				12.711

Table 3
Phenotype	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	76	^(76-90)²⁄ ₇₆	2.579
Yellow Wrinkled (Y–rr)	30	25	^(25-30)²⁄ ₂₅	1.000
Green Round (yyR–)	30	42	^(42-30)²⁄ ₄₂	3.429
Green Wrinkled (yyrr)	10	17	^(17-10)²⁄ ₁₇	2.882
(sum) χ² =				9.890

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

A. Table 1 with χ² = 0.325 is correct and we REJECT the null hypothesis Incorrect B. Table 2 with χ² = 12.711 is correct and we REJECT the null hypothesis Correct C. Table 3 with χ² = 9.890 is correct and we REJECT the null hypothesis Incorrect D. Table 1 with χ² = 0.325 is correct and we ACCEPT the null hypothesis Incorrect E. Table 2 with χ² = 12.711 is correct and we ACCEPT the null hypothesis Incorrect F. Table 3 with χ² = 9.890 is correct and we ACCEPT the null hypothesis Incorrect MC

5ec9_fae3

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	22	^(22-30)²⁄ ₃₀	2.133
Green Round (yyR–)	30	40	^(40-30)²⁄ ₃₀	3.333
Green Wrinkled (yyrr)	10	18	^(18-10)²⁄ ₁₀	6.400
(sum) χ² =				12.978

Table 2
Phenotype	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	80	^(80-90)⁄ ₉₀	-0.111
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	18	^(18-10)⁄ ₁₀	0.800
(sum) χ² =				0.756

Table 3
Phenotype	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	80	^(80-90)²⁄ ₈₀	1.250
Yellow Wrinkled (Y–rr)	30	22	^(22-30)²⁄ ₂₂	2.909
Green Round (yyR–)	30	40	^(40-30)²⁄ ₄₀	2.500
Green Wrinkled (yyrr)	10	18	^(18-10)²⁄ ₁₈	3.556
(sum) χ² =				10.215

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

A. Table 1 with χ² = 12.978 is correct and we REJECT the null hypothesis Correct B. Table 2 with χ² = 0.756 is correct and we REJECT the null hypothesis Incorrect C. Table 3 with χ² = 10.215 is correct and we REJECT the null hypothesis Incorrect D. Table 1 with χ² = 12.978 is correct and we ACCEPT the null hypothesis Incorrect E. Table 2 with χ² = 0.756 is correct and we ACCEPT the null hypothesis Incorrect F. Table 3 with χ² = 10.215 is correct and we ACCEPT the null hypothesis Incorrect MC

41db_acfb

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	14	^(14-30)²⁄ ₁₄	18.286
Green Round (yyR–)	30	44	^(44-30)²⁄ ₄₄	4.455
Green Wrinkled (yyrr)	10	18	^(18-10)²⁄ ₁₈	3.556
(sum) χ² =				26.724

Table 2
Phenotype	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	84	^(84-90)⁄ ₉₀	-0.067
Yellow Wrinkled (Y–rr)	30	14	^(14-30)⁄ ₃₀	-0.533
Green Round (yyR–)	30	44	^(44-30)⁄ ₃₀	0.467
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	14	^(14-30)²⁄ ₃₀	8.533
Green Round (yyR–)	30	44	^(44-30)²⁄ ₃₀	6.533
Green Wrinkled (yyrr)	10	18	^(18-10)²⁄ ₁₀	6.400
(sum) χ² =				21.867

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

A. Table 1 with χ² = 26.724 is correct and we REJECT the null hypothesis Incorrect B. Table 2 with χ² = 0.667 is correct and we REJECT the null hypothesis Incorrect C. Table 3 with χ² = 21.867 is correct and we REJECT the null hypothesis Correct D. Table 1 with χ² = 26.724 is correct and we ACCEPT the null hypothesis Incorrect E. Table 2 with χ² = 0.667 is correct and we ACCEPT the null hypothesis Incorrect F. Table 3 with χ² = 21.867 is correct and we ACCEPT the null hypothesis Incorrect MC

1efb_ccf8

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	20	^(20-30)²⁄ ₂₀	5.000
Green Round (yyR–)	30	38	^(38-30)²⁄ ₃₈	1.684
Green Wrinkled (yyrr)	10	16	^(16-10)²⁄ ₁₆	2.250
(sum) χ² =				9.120

Table 2
Phenotype	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	86	^(86-90)⁄ ₉₀	-0.044
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	16	^(16-10)⁄ ₁₀	0.600
(sum) χ² =				0.489

Table 3
Phenotype	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	86	^(86-90)²⁄ ₉₀	0.178
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	16	^(16-10)²⁄ ₁₀	3.600
(sum) χ² =				9.244

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

A. Table 1 with χ² = 9.120 is correct and we REJECT the null hypothesis Incorrect B. Table 2 with χ² = 0.489 is correct and we REJECT the null hypothesis Incorrect C. Table 3 with χ² = 9.244 is correct and we REJECT the null hypothesis Correct D. Table 1 with χ² = 9.120 is correct and we ACCEPT the null hypothesis Incorrect E. Table 2 with χ² = 0.489 is correct and we ACCEPT the null hypothesis Incorrect F. Table 3 with χ² = 9.244 is correct and we ACCEPT the null hypothesis Incorrect MC

737d_fd5a

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	15	^(15-30)⁄ ₃₀	-0.500
Green Round (yyR–)	30	44	^(44-30)⁄ ₃₀	0.467
Green Wrinkled (yyrr)	10	17	^(17-10)⁄ ₁₀	0.700
(sum) χ² =				0.600

Table 2
Phenotype	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	84	^(84-90)²⁄ ₈₄	0.429
Yellow Wrinkled (Y–rr)	30	15	^(15-30)²⁄ ₁₅	15.000
Green Round (yyR–)	30	44	^(44-30)²⁄ ₄₄	4.455
Green Wrinkled (yyrr)	10	17	^(17-10)²⁄ ₁₇	2.882
(sum) χ² =				22.765

Table 3
Phenotype	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	84	^(84-90)²⁄ ₉₀	0.400
Yellow Wrinkled (Y–rr)	30	15	^(15-30)²⁄ ₃₀	7.500
Green Round (yyR–)	30	44	^(44-30)²⁄ ₃₀	6.533
Green Wrinkled (yyrr)	10	17	^(17-10)²⁄ ₁₀	4.900
(sum) χ² =				19.333

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

A. Table 1 with χ² = 0.600 is correct and we REJECT the null hypothesis Incorrect B. Table 2 with χ² = 22.765 is correct and we REJECT the null hypothesis Incorrect C. Table 3 with χ² = 19.333 is correct and we REJECT the null hypothesis Correct D. Table 1 with χ² = 0.600 is correct and we ACCEPT the null hypothesis Incorrect E. Table 2 with χ² = 22.765 is correct and we ACCEPT the null hypothesis Incorrect F. Table 3 with χ² = 19.333 is correct and we ACCEPT the null hypothesis Incorrect MC

5645_1286

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	32	^(32-30)²⁄ ₃₂	0.125
Green Round (yyR–)	30	22	^(22-30)²⁄ ₂₂	2.909
Green Wrinkled (yyrr)	10	12	^(12-10)²⁄ ₁₂	0.333
(sum) χ² =				3.538

Table 2
Phenotype	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	94	^(94-90)⁄ ₉₀	0.044
Yellow Wrinkled (Y–rr)	30	32	^(32-30)⁄ ₃₀	0.067
Green Round (yyR–)	30	22	^(22-30)⁄ ₃₀	-0.267
Green Wrinkled (yyrr)	10	12	^(12-10)⁄ ₁₀	0.200
(sum) χ² =				0.044

Table 3
Phenotype	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	94	^(94-90)²⁄ ₉₀	0.178
Yellow Wrinkled (Y–rr)	30	32	^(32-30)²⁄ ₃₀	0.133
Green Round (yyR–)	30	22	^(22-30)²⁄ ₃₀	2.133
Green Wrinkled (yyrr)	10	12	^(12-10)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 accept or reject the null hypothesis using the information provided.

A. Table 1 with χ² = 3.538 is correct and we REJECT the null hypothesis Incorrect B. Table 2 with χ² = 0.044 is correct and we REJECT the null hypothesis Incorrect C. Table 3 with χ² = 2.844 is correct and we REJECT the null hypothesis Incorrect D. Table 1 with χ² = 3.538 is correct and we ACCEPT the null hypothesis Incorrect E. Table 2 with χ² = 0.044 is correct and we ACCEPT the null hypothesis Incorrect F. Table 3 with χ² = 2.844 is correct and we ACCEPT the null hypothesis Correct MC

1e32_86a3

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	31	^(31-30)²⁄ ₃₁	0.032
Green Round (yyR–)	30	31	^(31-30)²⁄ ₃₁	0.032
Green Wrinkled (yyrr)	10	12	^(12-10)²⁄ ₁₂	0.333
(sum) χ² =				0.584

Table 2
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	31	^(31-30)²⁄ ₃₀	0.033
Green Wrinkled (yyrr)	10	12	^(12-10)²⁄ ₁₀	0.400
(sum) χ² =				0.644

Table 3
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	31	^(31-30)²⁄ _31²	0.001
Green Wrinkled (yyrr)	10	12	^(12-10)²⁄ _12²	0.028
(sum) χ² =				0.032

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

A. Table 1 with χ² = 0.584 is correct and we REJECT the null hypothesis Incorrect B. Table 2 with χ² = 0.644 is correct and we REJECT the null hypothesis Incorrect C. Table 3 with χ² = 0.032 is correct and we REJECT the null hypothesis Incorrect D. Table 1 with χ² = 0.584 is correct and we ACCEPT the null hypothesis Incorrect E. Table 2 with χ² = 0.644 is correct and we ACCEPT the null hypothesis Correct F. Table 3 with χ² = 0.032 is correct and we ACCEPT the null hypothesis Incorrect MC

aa52_4306

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	26	^(26-30)⁄ ₃₀	-0.133
Green Round (yyR–)	30	33	^(33-30)⁄ ₃₀	0.100
Green Wrinkled (yyrr)	10	14	^(14-10)⁄ ₁₀	0.400
(sum) χ² =				0.333

Table 2
Phenotype	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	87	^(87-90)²⁄ ₈₇	0.103
Yellow Wrinkled (Y–rr)	30	26	^(26-30)²⁄ ₂₆	0.615
Green Round (yyR–)	30	33	^(33-30)²⁄ ₃₃	0.273
Green Wrinkled (yyrr)	10	14	^(14-10)²⁄ ₁₄	1.143
(sum) χ² =				2.134

Table 3
Phenotype	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	87	^(87-90)²⁄ ₉₀	0.100
Yellow Wrinkled (Y–rr)	30	26	^(26-30)²⁄ ₃₀	0.533
Green Round (yyR–)	30	33	^(33-30)²⁄ ₃₀	0.300
Green Wrinkled (yyrr)	10	14	^(14-10)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 accept or reject the null hypothesis using the information provided.

A. Table 1 with χ² = 0.333 is correct and we REJECT the null hypothesis Incorrect B. Table 2 with χ² = 2.134 is correct and we REJECT the null hypothesis Incorrect C. Table 3 with χ² = 2.533 is correct and we REJECT the null hypothesis Incorrect D. Table 1 with χ² = 0.333 is correct and we ACCEPT the null hypothesis Incorrect E. Table 2 with χ² = 2.134 is correct and we ACCEPT the null hypothesis Incorrect F. Table 3 with χ² = 2.533 is correct and we ACCEPT the null hypothesis Correct MC

2538_b6a0

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	18	^(18-30)²⁄ _18²	0.444
Green Round (yyR–)	30	48	^(48-30)²⁄ _48²	0.141
Green Wrinkled (yyrr)	10	18	^(18-10)²⁄ _18²	0.198
(sum) χ² =				0.817

Table 2
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	48	^(48-30)²⁄ ₄₈	6.750
Green Wrinkled (yyrr)	10	18	^(18-10)²⁄ ₁₈	3.556
(sum) χ² =				20.885

Table 3
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	48	^(48-30)²⁄ ₃₀	10.800
Green Wrinkled (yyrr)	10	18	^(18-10)²⁄ ₁₀	6.400
(sum) χ² =				24.178

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

A. Table 1 with χ² = 0.817 is correct and we REJECT the null hypothesis Incorrect B. Table 2 with χ² = 20.885 is correct and we REJECT the null hypothesis Incorrect C. Table 3 with χ² = 24.178 is correct and we REJECT the null hypothesis Correct D. Table 1 with χ² = 0.817 is correct and we ACCEPT the null hypothesis Incorrect E. Table 2 with χ² = 20.885 is correct and we ACCEPT the null hypothesis Incorrect F. Table 3 with χ² = 24.178 is correct and we ACCEPT the null hypothesis Incorrect MC

26c9_f0f8

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	27	^(27-30)²⁄ ₂₇	0.333
Green Round (yyR–)	30	42	^(42-30)²⁄ ₄₂	3.429
Green Wrinkled (yyrr)	10	19	^(19-10)²⁄ ₁₉	4.263
(sum) χ² =				12.525

Table 2
Phenotype	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	72	^(72-90)²⁄ ₉₀	3.600
Yellow Wrinkled (Y–rr)	30	27	^(27-30)²⁄ ₃₀	0.300
Green Round (yyR–)	30	42	^(42-30)²⁄ ₃₀	4.800
Green Wrinkled (yyrr)	10	19	^(19-10)²⁄ ₁₀	8.100
(sum) χ² =				16.800

Table 3
Phenotype	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	72	^(72-90)²⁄ _72²	0.062
Yellow Wrinkled (Y–rr)	30	27	^(27-30)²⁄ _27²	0.012
Green Round (yyR–)	30	42	^(42-30)²⁄ _42²	0.082
Green Wrinkled (yyrr)	10	19	^(19-10)²⁄ _19²	0.224
(sum) χ² =				0.381

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

A. Table 1 with χ² = 12.525 is correct and we REJECT the null hypothesis Incorrect B. Table 2 with χ² = 16.800 is correct and we REJECT the null hypothesis Correct C. Table 3 with χ² = 0.381 is correct and we REJECT the null hypothesis Incorrect D. Table 1 with χ² = 12.525 is correct and we ACCEPT the null hypothesis Incorrect E. Table 2 with χ² = 16.800 is correct and we ACCEPT the null hypothesis Incorrect F. Table 3 with χ² = 0.381 is correct and we ACCEPT the null hypothesis Incorrect MC

4871_3654

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	19	^(19-30)²⁄ ₁₉	6.368
Green Round (yyR–)	30	43	^(43-30)²⁄ ₄₃	3.930
Green Wrinkled (yyrr)	10	13	^(13-10)²⁄ ₁₃	0.692
(sum) χ² =				11.285

Table 2
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	43	^(43-30)⁄ ₃₀	0.433
Green Wrinkled (yyrr)	10	13	^(13-10)⁄ ₁₀	0.300
(sum) χ² =				0.311

Table 3
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	43	^(43-30)²⁄ ₃₀	5.633
Green Wrinkled (yyrr)	10	13	^(13-10)²⁄ ₁₀	0.900
(sum) χ² =				10.844

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

A. Table 1 with χ² = 11.285 is correct and we REJECT the null hypothesis Incorrect B. Table 2 with χ² = 0.311 is correct and we REJECT the null hypothesis Incorrect C. Table 3 with χ² = 10.844 is correct and we REJECT the null hypothesis Correct D. Table 1 with χ² = 11.285 is correct and we ACCEPT the null hypothesis Incorrect E. Table 2 with χ² = 0.311 is correct and we ACCEPT the null hypothesis Incorrect F. Table 3 with χ² = 10.844 is correct and we ACCEPT the null hypothesis Incorrect MC

e7dc_3061

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	29	^(29-30)²⁄ ₃₀	0.033
Green Round (yyR–)	30	29	^(29-30)²⁄ ₃₀	0.033
Green Wrinkled (yyrr)	10	6	^(6-10)²⁄ ₁₀	1.600
(sum) χ² =				2.067

Table 2
Phenotype	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	96	^(96-90)⁄ ₉₀	0.067
Yellow Wrinkled (Y–rr)	30	29	^(29-30)⁄ ₃₀	-0.033
Green Round (yyR–)	30	29	^(29-30)⁄ ₃₀	-0.033
Green Wrinkled (yyrr)	10	6	^(6-10)⁄ ₁₀	-0.400
(sum) χ² =				-0.400

Table 3
Phenotype	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	96	^(96-90)²⁄ ₉₆	0.375
Yellow Wrinkled (Y–rr)	30	29	^(29-30)²⁄ ₂₉	0.034
Green Round (yyR–)	30	29	^(29-30)²⁄ ₂₉	0.034
Green Wrinkled (yyrr)	10	6	^(6-10)²⁄ ₆	2.667
(sum) χ² =				3.111

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

A. Table 1 with χ² = 2.067 is correct and we REJECT the null hypothesis Incorrect B. Table 2 with χ² = -0.400 is correct and we REJECT the null hypothesis Incorrect C. Table 3 with χ² = 3.111 is correct and we REJECT the null hypothesis Incorrect D. Table 1 with χ² = 2.067 is correct and we ACCEPT the null hypothesis Correct E. Table 2 with χ² = -0.400 is correct and we ACCEPT the null hypothesis Incorrect F. Table 3 with χ² = 3.111 is correct and we ACCEPT the null hypothesis Incorrect MC

a580_553d

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)⁄ ₉₀	0.100
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	6	^(6-10)⁄ ₁₀	-0.400
(sum) χ² =				-0.467

Table 2
Phenotype	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	99	^(99-90)²⁄ ₉₀	0.900
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	6	^(6-10)²⁄ ₁₀	1.600
(sum) χ² =				3.067

Table 3
Phenotype	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	99	^(99-90)²⁄ _99²	0.008
Yellow Wrinkled (Y–rr)	30	26	^(26-30)²⁄ _26²	0.024
Green Round (yyR–)	30	29	^(29-30)²⁄ _29²	0.001
Green Wrinkled (yyrr)	10	6	^(6-10)²⁄ _6²	0.444
(sum) χ² =				0.478

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

A. Table 1 with χ² = -0.467 is correct and we REJECT the null hypothesis Incorrect B. Table 2 with χ² = 3.067 is correct and we REJECT the null hypothesis Incorrect C. Table 3 with χ² = 0.478 is correct and we REJECT the null hypothesis Incorrect D. Table 1 with χ² = -0.467 is correct and we ACCEPT the null hypothesis Incorrect E. Table 2 with χ² = 3.067 is correct and we ACCEPT the null hypothesis Correct F. Table 3 with χ² = 0.478 is correct and we ACCEPT the null hypothesis Incorrect MC

38b9_caf8

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⁄ ₉₀	3.211
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	19	^(19-10)²⁄ ₁₀	8.100
(sum) χ² =				29.444

Table 2
Phenotype	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	73	^(73-90)²⁄ _73²	0.054
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	19	^(19-10)²⁄ _19²	0.224
(sum) χ² =				0.883

Table 3
Phenotype	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	73	^(73-90)²⁄ ₇₃	3.959
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	19	^(19-10)²⁄ ₁₉	4.263
(sum) χ² =				24.222

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

A. Table 1 with χ² = 29.444 is correct and we REJECT the null hypothesis Correct B. Table 2 with χ² = 0.883 is correct and we REJECT the null hypothesis Incorrect C. Table 3 with χ² = 24.222 is correct and we REJECT the null hypothesis Incorrect D. Table 1 with χ² = 29.444 is correct and we ACCEPT the null hypothesis Incorrect E. Table 2 with χ² = 0.883 is correct and we ACCEPT the null hypothesis Incorrect F. Table 3 with χ² = 24.222 is correct and we ACCEPT the null hypothesis Incorrect MC

67b4_3806

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⁄ ₉₉	0.818
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	7	^(7-10)²⁄ ₇	1.286
(sum) χ² =				4.267

Table 2
Phenotype	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	99	^(99-90)²⁄ _99²	0.008
Yellow Wrinkled (Y–rr)	30	23	^(23-30)²⁄ _23²	0.093
Green Round (yyR–)	30	31	^(31-30)²⁄ _31²	0.001
Green Wrinkled (yyrr)	10	7	^(7-10)²⁄ _7²	0.184
(sum) χ² =				0.286

Table 3
Phenotype	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	99	^(99-90)²⁄ ₉₀	0.900
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	7	^(7-10)²⁄ ₁₀	0.900
(sum) χ² =				3.467

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

A. Table 1 with χ² = 4.267 is correct and we REJECT the null hypothesis Incorrect B. Table 2 with χ² = 0.286 is correct and we REJECT the null hypothesis Incorrect C. Table 3 with χ² = 3.467 is correct and we REJECT the null hypothesis Incorrect D. Table 1 with χ² = 4.267 is correct and we ACCEPT the null hypothesis Incorrect E. Table 2 with χ² = 0.286 is correct and we ACCEPT the null hypothesis Incorrect F. Table 3 with χ² = 3.467 is correct and we ACCEPT the null hypothesis Correct MC

86e4_8bd0

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	40	^(40-30)²⁄ ₃₀	3.333
Green Round (yyR–)	30	29	^(29-30)²⁄ ₃₀	0.033
Green Wrinkled (yyrr)	10	7	^(7-10)²⁄ ₁₀	0.900
(sum) χ² =				4.667

Table 2
Phenotype	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	84	^(84-90)²⁄ ₈₄	0.429
Yellow Wrinkled (Y–rr)	30	40	^(40-30)²⁄ ₄₀	2.500
Green Round (yyR–)	30	29	^(29-30)²⁄ ₂₉	0.034
Green Wrinkled (yyrr)	10	7	^(7-10)²⁄ ₇	1.286
(sum) χ² =				4.249

Table 3
Phenotype	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	84	^(84-90)²⁄ _84²	0.005
Yellow Wrinkled (Y–rr)	30	40	^(40-30)²⁄ _40²	0.062
Green Round (yyR–)	30	29	^(29-30)²⁄ _29²	0.001
Green Wrinkled (yyrr)	10	7	^(7-10)²⁄ _7²	0.184
(sum) χ² =				0.252

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

A. Table 1 with χ² = 4.667 is correct and we REJECT the null hypothesis Incorrect B. Table 2 with χ² = 4.249 is correct and we REJECT the null hypothesis Incorrect C. Table 3 with χ² = 0.252 is correct and we REJECT the null hypothesis Incorrect D. Table 1 with χ² = 4.667 is correct and we ACCEPT the null hypothesis Correct E. Table 2 with χ² = 4.249 is correct and we ACCEPT the null hypothesis Incorrect F. Table 3 with χ² = 0.252 is correct and we ACCEPT the null hypothesis Incorrect MC

fce0_2a9c

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	21	^(21-30)²⁄ ₃₀	2.700
Green Round (yyR–)	30	42	^(42-30)²⁄ ₃₀	4.800
Green Wrinkled (yyrr)	10	16	^(16-10)²⁄ ₁₀	3.600
(sum) χ² =				12.000

Table 2
Phenotype	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	81	^(81-90)⁄ ₉₀	-0.100
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	16	^(16-10)⁄ ₁₀	0.600
(sum) χ² =				0.600

Table 3
Phenotype	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	81	^(81-90)²⁄ ₈₁	1.000
Yellow Wrinkled (Y–rr)	30	21	^(21-30)²⁄ ₂₁	3.857
Green Round (yyR–)	30	42	^(42-30)²⁄ ₄₂	3.429
Green Wrinkled (yyrr)	10	16	^(16-10)²⁄ ₁₆	2.250
(sum) χ² =				10.536

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

A. Table 1 with χ² = 12.000 is correct and we REJECT the null hypothesis Correct B. Table 2 with χ² = 0.600 is correct and we REJECT the null hypothesis Incorrect C. Table 3 with χ² = 10.536 is correct and we REJECT the null hypothesis Incorrect D. Table 1 with χ² = 12.000 is correct and we ACCEPT the null hypothesis Incorrect E. Table 2 with χ² = 0.600 is correct and we ACCEPT the null hypothesis Incorrect F. Table 3 with χ² = 10.536 is correct and we ACCEPT the null hypothesis Incorrect MC

34e8_9bb4

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	29	^(29-30)²⁄ ₂₉	0.034
Green Round (yyR–)	30	30	^(30-30)²⁄ ₃₀	0.000
Green Wrinkled (yyrr)	10	6	^(6-10)²⁄ ₆	2.667
(sum) χ² =				2.964

Table 2
Phenotype	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	95	^(95-90)²⁄ ₉₀	0.278
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	6	^(6-10)²⁄ ₁₀	1.600
(sum) χ² =				1.911

Table 3
Phenotype	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	95	^(95-90)²⁄ _95²	0.003
Yellow Wrinkled (Y–rr)	30	29	^(29-30)²⁄ _29²	0.001
Green Round (yyR–)	30	30	^(30-30)²⁄ _30²	0.000
Green Wrinkled (yyrr)	10	6	^(6-10)²⁄ _6²	0.444
(sum) χ² =				0.448

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

A. Table 1 with χ² = 2.964 is correct and we REJECT the null hypothesis Incorrect B. Table 2 with χ² = 1.911 is correct and we REJECT the null hypothesis Incorrect C. Table 3 with χ² = 0.448 is correct and we REJECT the null hypothesis Incorrect D. Table 1 with χ² = 2.964 is correct and we ACCEPT the null hypothesis Incorrect E. Table 2 with χ² = 1.911 is correct and we ACCEPT the null hypothesis Correct F. Table 3 with χ² = 0.448 is correct and we ACCEPT the null hypothesis Incorrect MC

c6d4_0662

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⁄ _69²	0.093
Yellow Wrinkled (Y–rr)	30	20	^(20-30)²⁄ _20²	0.250
Green Round (yyR–)	30	52	^(52-30)²⁄ _52²	0.179
Green Wrinkled (yyrr)	10	19	^(19-10)²⁄ _19²	0.224
(sum) χ² =				0.746

Table 2
Phenotype	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	69	^(69-90)²⁄ ₉₀	4.900
Yellow Wrinkled (Y–rr)	30	20	^(20-30)²⁄ ₃₀	3.333
Green Round (yyR–)	30	52	^(52-30)²⁄ ₃₀	16.133
Green Wrinkled (yyrr)	10	19	^(19-10)²⁄ ₁₀	8.100
(sum) χ² =				32.467

Table 3
Phenotype	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	69	^(69-90)²⁄ ₆₉	6.391
Yellow Wrinkled (Y–rr)	30	20	^(20-30)²⁄ ₂₀	5.000
Green Round (yyR–)	30	52	^(52-30)²⁄ ₅₂	9.308
Green Wrinkled (yyrr)	10	19	^(19-10)²⁄ ₁₉	4.263
(sum) χ² =				24.962

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

A. Table 1 with χ² = 0.746 is correct and we REJECT the null hypothesis Incorrect B. Table 2 with χ² = 32.467 is correct and we REJECT the null hypothesis Correct C. Table 3 with χ² = 24.962 is correct and we REJECT the null hypothesis Incorrect D. Table 1 with χ² = 0.746 is correct and we ACCEPT the null hypothesis Incorrect E. Table 2 with χ² = 32.467 is correct and we ACCEPT the null hypothesis Incorrect F. Table 3 with χ² = 24.962 is correct and we ACCEPT the null hypothesis Incorrect MC

0956_d5b8

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	44	^(44-30)⁄ ₃₀	0.467
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	20	^(20-30)²⁄ ₃₀	3.333
Green Round (yyR–)	30	44	^(44-30)²⁄ ₃₀	6.533
Green Wrinkled (yyrr)	10	14	^(14-10)²⁄ ₁₀	1.600
(sum) χ² =				12.178

Table 3
Phenotype	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	82	^(82-90)²⁄ _82²	0.010
Yellow Wrinkled (Y–rr)	30	20	^(20-30)²⁄ _20²	0.250
Green Round (yyR–)	30	44	^(44-30)²⁄ _44²	0.101
Green Wrinkled (yyrr)	10	14	^(14-10)²⁄ _14²	0.082
(sum) χ² =				0.442

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

A. Table 1 with χ² = 0.444 is correct and we REJECT the null hypothesis Incorrect B. Table 2 with χ² = 12.178 is correct and we REJECT the null hypothesis Correct C. Table 3 with χ² = 0.442 is correct and we REJECT the null hypothesis Incorrect D. Table 1 with χ² = 0.444 is correct and we ACCEPT the null hypothesis Incorrect E. Table 2 with χ² = 12.178 is correct and we ACCEPT the null hypothesis Incorrect F. Table 3 with χ² = 0.442 is correct and we ACCEPT the null hypothesis Incorrect MC

f07b_15e1

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	23	^(23-30)²⁄ ₃₀	1.633
Green Round (yyR–)	30	27	^(27-30)²⁄ ₃₀	0.300
Green Wrinkled (yyrr)	10	8	^(8-10)²⁄ ₁₀	0.400
(sum) χ² =				3.933

Table 2
Phenotype	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	102	^(102-90)⁄ ₉₀	0.133
Yellow Wrinkled (Y–rr)	30	23	^(23-30)⁄ ₃₀	-0.233
Green Round (yyR–)	30	27	^(27-30)⁄ ₃₀	-0.100
Green Wrinkled (yyrr)	10	8	^(8-10)⁄ ₁₀	-0.200
(sum) χ² =				-0.400

Table 3
Phenotype	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	102	^(102-90)²⁄ _102²	0.014
Yellow Wrinkled (Y–rr)	30	23	^(23-30)²⁄ _23²	0.093
Green Round (yyR–)	30	27	^(27-30)²⁄ _27²	0.012
Green Wrinkled (yyrr)	10	8	^(8-10)²⁄ _8²	0.062
(sum) χ² =				0.181

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

A. Table 1 with χ² = 3.933 is correct and we REJECT the null hypothesis Incorrect B. Table 2 with χ² = -0.400 is correct and we REJECT the null hypothesis Incorrect C. Table 3 with χ² = 0.181 is correct and we REJECT the null hypothesis Incorrect D. Table 1 with χ² = 3.933 is correct and we ACCEPT the null hypothesis Correct E. Table 2 with χ² = -0.400 is correct and we ACCEPT the null hypothesis Incorrect F. Table 3 with χ² = 0.181 is correct and we ACCEPT the null hypothesis Incorrect MC

d878_d8c7

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	19	^(19-30)²⁄ ₃₀	4.033
Green Round (yyR–)	30	50	^(50-30)²⁄ ₃₀	13.333
Green Wrinkled (yyrr)	10	14	^(14-10)²⁄ ₁₀	1.600
(sum) χ² =				20.844

Table 2
Phenotype	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	77	^(77-90)²⁄ _77²	0.029
Yellow Wrinkled (Y–rr)	30	19	^(19-30)²⁄ _19²	0.335
Green Round (yyR–)	30	50	^(50-30)²⁄ _50²	0.160
Green Wrinkled (yyrr)	10	14	^(14-10)²⁄ _14²	0.082
(sum) χ² =				0.605

Table 3
Phenotype	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	77	^(77-90)⁄ ₉₀	-0.144
Yellow Wrinkled (Y–rr)	30	19	^(19-30)⁄ ₃₀	-0.367
Green Round (yyR–)	30	50	^(50-30)⁄ ₃₀	0.667
Green Wrinkled (yyrr)	10	14	^(14-10)⁄ 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 accept or reject the null hypothesis using the information provided.

A. Table 1 with χ² = 20.844 is correct and we REJECT the null hypothesis Correct B. Table 2 with χ² = 0.605 is correct and we REJECT the null hypothesis Incorrect C. Table 3 with χ² = 0.556 is correct and we REJECT the null hypothesis Incorrect D. Table 1 with χ² = 20.844 is correct and we ACCEPT the null hypothesis Incorrect E. Table 2 with χ² = 0.605 is correct and we ACCEPT the null hypothesis Incorrect F. Table 3 with χ² = 0.556 is correct and we ACCEPT the null hypothesis Incorrect MC

4968_b80e

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	38	^(38-30)²⁄ ₃₀	2.133
Green Wrinkled (yyrr)	10	18	^(18-10)²⁄ ₁₀	6.400
(sum) χ² =				12.267

Table 2
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	38	^(38-30)²⁄ _38²	0.044
Green Wrinkled (yyrr)	10	18	^(18-10)²⁄ _18²	0.198
(sum) χ² =				0.497

Table 3
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

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

A. Table 1 with χ² = 12.267 is correct and we REJECT the null hypothesis Correct B. Table 2 with χ² = 0.497 is correct and we REJECT the null hypothesis Incorrect C. Table 3 with χ² = 0.667 is correct and we REJECT the null hypothesis Incorrect D. Table 1 with χ² = 12.267 is correct and we ACCEPT the null hypothesis Incorrect E. Table 2 with χ² = 0.497 is correct and we ACCEPT the null hypothesis Incorrect F. Table 3 with χ² = 0.667 is correct and we ACCEPT the null hypothesis Incorrect MC

745e_3a10

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⁄ 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

Table 3
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	32	^(32-30)⁄ ₃₀	0.067
Green Wrinkled (yyrr)	10	5	^(5-10)⁄ ₁₀	-0.500
(sum) χ² =				-0.422

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

A. Table 1 with χ² = 5.330 is correct and we REJECT the null hypothesis Incorrect B. Table 2 with χ² = 2.844 is correct and we REJECT the null hypothesis Incorrect C. Table 3 with χ² = -0.422 is correct and we REJECT the null hypothesis Incorrect D. Table 1 with χ² = 5.330 is correct and we ACCEPT the null hypothesis Incorrect E. Table 2 with χ² = 2.844 is correct and we ACCEPT the null hypothesis Correct F. Table 3 with χ² = -0.422 is correct and we ACCEPT the null hypothesis Incorrect MC

4a16_fd55

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	36	^(36-30)²⁄ ₃₀	1.200
Green Round (yyR–)	30	22	^(22-30)²⁄ ₃₀	2.133
Green Wrinkled (yyrr)	10	8	^(8-10)²⁄ ₁₀	0.400
(sum) χ² =				3.911

Table 2
Phenotype	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	94	^(94-90)²⁄ _94²	0.002
Yellow Wrinkled (Y–rr)	30	36	^(36-30)²⁄ _36²	0.028
Green Round (yyR–)	30	22	^(22-30)²⁄ _22²	0.132
Green Wrinkled (yyrr)	10	8	^(8-10)²⁄ _8²	0.062
(sum) χ² =				0.224

Table 3
Phenotype	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	94	^(94-90)²⁄ ₉₄	0.170
Yellow Wrinkled (Y–rr)	30	36	^(36-30)²⁄ ₃₆	1.000
Green Round (yyR–)	30	22	^(22-30)²⁄ ₂₂	2.909
Green Wrinkled (yyrr)	10	8	^(8-10)²⁄ ₈	0.500
(sum) χ² =				4.579

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

A. Table 1 with χ² = 3.911 is correct and we REJECT the null hypothesis Incorrect B. Table 2 with χ² = 0.224 is correct and we REJECT the null hypothesis Incorrect C. Table 3 with χ² = 4.579 is correct and we REJECT the null hypothesis Incorrect D. Table 1 with χ² = 3.911 is correct and we ACCEPT the null hypothesis Correct E. Table 2 with χ² = 0.224 is correct and we ACCEPT the null hypothesis Incorrect F. Table 3 with χ² = 4.579 is correct and we ACCEPT the null hypothesis Incorrect MC

d231_70d8

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)⁄ ₉₀	0.067
Yellow Wrinkled (Y–rr)	30	28	^(28-30)⁄ ₃₀	-0.067
Green Round (yyR–)	30	29	^(29-30)⁄ ₃₀	-0.033
Green Wrinkled (yyrr)	10	7	^(7-10)⁄ ₁₀	-0.300
(sum) χ² =				-0.333

Table 2
Phenotype	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	96	^(96-90)²⁄ ₉₆	0.375
Yellow Wrinkled (Y–rr)	30	28	^(28-30)²⁄ ₂₈	0.143
Green Round (yyR–)	30	29	^(29-30)²⁄ ₂₉	0.034
Green Wrinkled (yyrr)	10	7	^(7-10)²⁄ ₇	1.286
(sum) χ² =				1.838

Table 3
Phenotype	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	96	^(96-90)²⁄ ₉₀	0.400
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	7	^(7-10)²⁄ ₁₀	0.900
(sum) χ² =				1.467

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

A. Table 1 with χ² = -0.333 is correct and we REJECT the null hypothesis Incorrect B. Table 2 with χ² = 1.838 is correct and we REJECT the null hypothesis Incorrect C. Table 3 with χ² = 1.467 is correct and we REJECT the null hypothesis Incorrect D. Table 1 with χ² = -0.333 is correct and we ACCEPT the null hypothesis Incorrect E. Table 2 with χ² = 1.838 is correct and we ACCEPT the null hypothesis Incorrect F. Table 3 with χ² = 1.467 is correct and we ACCEPT the null hypothesis Correct MC

c6d2_330d

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	28	^(28-30)⁄ ₃₀	-0.067
Green Round (yyR–)	30	23	^(23-30)⁄ ₃₀	-0.233
Green Wrinkled (yyrr)	10	12	^(12-10)⁄ ₁₀	0.200
(sum) χ² =				-0.022

Table 2
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	23	^(23-30)²⁄ _23²	0.093
Green Wrinkled (yyrr)	10	12	^(12-10)²⁄ _12²	0.028
(sum) χ² =				0.131

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	23	^(23-30)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 accept or reject the null hypothesis using the information provided.

A. Table 1 with χ² = -0.022 is correct and we REJECT the null hypothesis Incorrect B. Table 2 with χ² = 0.131 is correct and we REJECT the null hypothesis Incorrect C. Table 3 with χ² = 2.711 is correct and we REJECT the null hypothesis Incorrect D. Table 1 with χ² = -0.022 is correct and we ACCEPT the null hypothesis Incorrect E. Table 2 with χ² = 0.131 is correct and we ACCEPT the null hypothesis Incorrect F. Table 3 with χ² = 2.711 is correct and we ACCEPT the null hypothesis Correct MC

e674_9016

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	25	^(25-30)²⁄ ₃₀	0.833
Green Round (yyR–)	30	40	^(40-30)²⁄ ₃₀	3.333
Green Wrinkled (yyrr)	10	19	^(19-10)²⁄ ₁₀	8.100
(sum) χ² =				14.444

Table 2
Phenotype	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	76	^(76-90)²⁄ ₇₆	2.579
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	19	^(19-10)²⁄ ₁₉	4.263
(sum) χ² =				10.342

Table 3
Phenotype	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	76	^(76-90)²⁄ _76²	0.034
Yellow Wrinkled (Y–rr)	30	25	^(25-30)²⁄ _25²	0.040
Green Round (yyR–)	30	40	^(40-30)²⁄ _40²	0.062
Green Wrinkled (yyrr)	10	19	^(19-10)²⁄ _19²	0.224
(sum) χ² =				0.361

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

A. Table 1 with χ² = 14.444 is correct and we REJECT the null hypothesis Correct B. Table 2 with χ² = 10.342 is correct and we REJECT the null hypothesis Incorrect C. Table 3 with χ² = 0.361 is correct and we REJECT the null hypothesis Incorrect D. Table 1 with χ² = 14.444 is correct and we ACCEPT the null hypothesis Incorrect E. Table 2 with χ² = 10.342 is correct and we ACCEPT the null hypothesis Incorrect F. Table 3 with χ² = 0.361 is correct and we ACCEPT the null hypothesis Incorrect MC

a9c2_07ff

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	23	^(23-30)²⁄ ₃₀	1.633
Green Round (yyR–)	30	36	^(36-30)²⁄ ₃₀	1.200
Green Wrinkled (yyrr)	10	18	^(18-10)²⁄ ₁₀	6.400
(sum) χ² =				9.778

Table 2
Phenotype	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	83	^(83-90)⁄ ₉₀	-0.078
Yellow Wrinkled (Y–rr)	30	23	^(23-30)⁄ ₃₀	-0.233
Green Round (yyR–)	30	36	^(36-30)⁄ ₃₀	0.200
Green Wrinkled (yyrr)	10	18	^(18-10)⁄ ₁₀	0.800
(sum) χ² =				0.689

Table 3
Phenotype	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	83	^(83-90)²⁄ _83²	0.007
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	18	^(18-10)²⁄ _18²	0.198
(sum) χ² =				0.325

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

A. Table 1 with χ² = 9.778 is correct and we REJECT the null hypothesis Correct B. Table 2 with χ² = 0.689 is correct and we REJECT the null hypothesis Incorrect C. Table 3 with χ² = 0.325 is correct and we REJECT the null hypothesis Incorrect D. Table 1 with χ² = 9.778 is correct and we ACCEPT the null hypothesis Incorrect E. Table 2 with χ² = 0.689 is correct and we ACCEPT the null hypothesis Incorrect F. Table 3 with χ² = 0.325 is correct and we ACCEPT the null hypothesis Incorrect MC

4cd5_d8d0

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	66	^(66-90)²⁄ ₆₆	8.727
Yellow Wrinkled (Y–rr)	30	26	^(26-30)²⁄ ₂₆	0.615
Green Round (yyR–)	30	52	^(52-30)²⁄ ₅₂	9.308
Green Wrinkled (yyrr)	10	16	^(16-10)²⁄ ₁₆	2.250
(sum) χ² =				20.900

Table 2
Phenotype	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	66	^(66-90)²⁄ _66²	0.132
Yellow Wrinkled (Y–rr)	30	26	^(26-30)²⁄ _26²	0.024
Green Round (yyR–)	30	52	^(52-30)²⁄ _52²	0.179
Green Wrinkled (yyrr)	10	16	^(16-10)²⁄ _16²	0.141
(sum) χ² =				0.476

Table 3
Phenotype	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	66	^(66-90)²⁄ ₉₀	6.400
Yellow Wrinkled (Y–rr)	30	26	^(26-30)²⁄ ₃₀	0.533
Green Round (yyR–)	30	52	^(52-30)²⁄ ₃₀	16.133
Green Wrinkled (yyrr)	10	16	^(16-10)²⁄ ₁₀	3.600
(sum) χ² =				26.667

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

A. Table 1 with χ² = 20.900 is correct and we REJECT the null hypothesis Incorrect B. Table 2 with χ² = 0.476 is correct and we REJECT the null hypothesis Incorrect C. Table 3 with χ² = 26.667 is correct and we REJECT the null hypothesis Correct D. Table 1 with χ² = 20.900 is correct and we ACCEPT the null hypothesis Incorrect E. Table 2 with χ² = 0.476 is correct and we ACCEPT the null hypothesis Incorrect F. Table 3 with χ² = 26.667 is correct and we ACCEPT the null hypothesis Incorrect MC

cec7_8959

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	17	^(17-30)²⁄ ₃₀	5.633
Green Round (yyR–)	30	43	^(43-30)²⁄ ₃₀	5.633
Green Wrinkled (yyrr)	10	17	^(17-10)²⁄ ₁₀	4.900
(sum) χ² =				16.711

Table 2
Phenotype	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	83	^(83-90)²⁄ _83²	0.007
Yellow Wrinkled (Y–rr)	30	17	^(17-30)²⁄ _17²	0.585
Green Round (yyR–)	30	43	^(43-30)²⁄ _43²	0.091
Green Wrinkled (yyrr)	10	17	^(17-10)²⁄ _17²	0.170
(sum) χ² =				0.853

Table 3
Phenotype	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	83	^(83-90)²⁄ ₈₃	0.590
Yellow Wrinkled (Y–rr)	30	17	^(17-30)²⁄ ₁₇	9.941
Green Round (yyR–)	30	43	^(43-30)²⁄ ₄₃	3.930
Green Wrinkled (yyrr)	10	17	^(17-10)²⁄ ₁₇	2.882
(sum) χ² =				17.344

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

A. Table 1 with χ² = 16.711 is correct and we REJECT the null hypothesis Correct B. Table 2 with χ² = 0.853 is correct and we REJECT the null hypothesis Incorrect C. Table 3 with χ² = 17.344 is correct and we REJECT the null hypothesis Incorrect D. Table 1 with χ² = 16.711 is correct and we ACCEPT the null hypothesis Incorrect E. Table 2 with χ² = 0.853 is correct and we ACCEPT the null hypothesis Incorrect F. Table 3 with χ² = 17.344 is correct and we ACCEPT the null hypothesis Incorrect MC

6b09_0c83

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	44	^(44-30)²⁄ _44²	0.101
Green Wrinkled (yyrr)	10	16	^(16-10)²⁄ _16²	0.141
(sum) χ² =				0.507

Table 2
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	44	^(44-30)²⁄ ₄₄	4.455
Green Wrinkled (yyrr)	10	16	^(16-10)²⁄ ₁₆	2.250
(sum) χ² =				12.955

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	44	^(44-30)²⁄ ₃₀	6.533
Green Wrinkled (yyrr)	10	16	^(16-10)²⁄ ₁₀	3.600
(sum) χ² =				14.578

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

A. Table 1 with χ² = 0.507 is correct and we REJECT the null hypothesis Incorrect B. Table 2 with χ² = 12.955 is correct and we REJECT the null hypothesis Incorrect C. Table 3 with χ² = 14.578 is correct and we REJECT the null hypothesis Correct D. Table 1 with χ² = 0.507 is correct and we ACCEPT the null hypothesis Incorrect E. Table 2 with χ² = 12.955 is correct and we ACCEPT the null hypothesis Incorrect F. Table 3 with χ² = 14.578 is correct and we ACCEPT the null hypothesis Incorrect MC

f0f9_aa58

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	23	^(23-30)²⁄ ₂₃	2.130
Green Round (yyR–)	30	29	^(29-30)²⁄ ₂₉	0.034
Green Wrinkled (yyrr)	10	6	^(6-10)²⁄ ₆	2.667
(sum) χ² =				6.243

Table 2
Phenotype	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	102	^(102-90)²⁄ ₉₀	1.600
Yellow Wrinkled (Y–rr)	30	23	^(23-30)²⁄ ₃₀	1.633
Green Round (yyR–)	30	29	^(29-30)²⁄ ₃₀	0.033
Green Wrinkled (yyrr)	10	6	^(6-10)²⁄ ₁₀	1.600
(sum) χ² =				4.867

Table 3
Phenotype	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	102	^(102-90)⁄ ₉₀	0.133
Yellow Wrinkled (Y–rr)	30	23	^(23-30)⁄ ₃₀	-0.233
Green Round (yyR–)	30	29	^(29-30)⁄ ₃₀	-0.033
Green Wrinkled (yyrr)	10	6	^(6-10)⁄ 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 accept or reject the null hypothesis using the information provided.

A. Table 1 with χ² = 6.243 is correct and we REJECT the null hypothesis Incorrect B. Table 2 with χ² = 4.867 is correct and we REJECT the null hypothesis Incorrect C. Table 3 with χ² = -0.533 is correct and we REJECT the null hypothesis Incorrect D. Table 1 with χ² = 6.243 is correct and we ACCEPT the null hypothesis Incorrect E. Table 2 with χ² = 4.867 is correct and we ACCEPT the null hypothesis Correct F. Table 3 with χ² = -0.533 is correct and we ACCEPT the null hypothesis Incorrect MC

b14e_ba7d

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	38	^(38-30)²⁄ ₃₀	2.133
Green Wrinkled (yyrr)	10	18	^(18-10)²⁄ ₁₀	6.400
(sum) χ² =				12.267

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	38	^(38-30)⁄ ₃₀	0.267
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⁄ 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 accept or reject the null hypothesis using the information provided.

A. Table 1 with χ² = 12.267 is correct and we REJECT the null hypothesis Correct B. Table 2 with χ² = 0.667 is correct and we REJECT the null hypothesis Incorrect C. Table 3 with χ² = 10.668 is correct and we REJECT the null hypothesis Incorrect D. Table 1 with χ² = 12.267 is correct and we ACCEPT the null hypothesis Incorrect E. Table 2 with χ² = 0.667 is correct and we ACCEPT the null hypothesis Incorrect F. Table 3 with χ² = 10.668 is correct and we ACCEPT the null hypothesis Incorrect