32cd_4ba3

The table below gives chi-square critical values for each probability in the right tail.

Degrees of freedom	0.95	0.90	0.75	0.50	0.25	0.10	0.05	0.01
1	0.00	0.02	0.10	0.45	1.32	2.71	3.84	6.63
2	0.10	0.21	0.58	1.39	2.77	4.61	5.99	9.21
3	0.35	0.58	1.21	2.37	4.11	6.25	7.81	11.34
4	0.71	1.06	1.92	3.36	5.39	7.78	9.49	13.28

**Table 1**
Category	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	71	^(71-90)²⁄ ₉₀	4.011
Yellow Wrinkled (Y–rr)	30	24	^(24-30)²⁄ ₃₀	1.200
Green Round (yyR–)	30	50	^(50-30)²⁄ ₃₀	13.333
Green Wrinkled (yyrr)	10	15	^(15-10)²⁄ ₁₀	2.500
N = 160				χ² = 21.044

**Table 2**
Category	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	71	^(71-90)⁄ ₉₀	-0.211
Yellow Wrinkled (Y–rr)	30	24	^(24-30)⁄ ₃₀	-0.200
Green Round (yyR–)	30	50	^(50-30)⁄ ₃₀	0.667
Green Wrinkled (yyrr)	10	15	^(15-10)⁄ ₁₀	0.500
N = 160				χ² = 0.756

**Table 3**
Category	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	71	^(71-90)²⁄ _71²	0.072
Yellow Wrinkled (Y–rr)	30	24	^(24-30)²⁄ _24²	0.062
Green Round (yyR–)	30	50	^(50-30)²⁄ _50²	0.160
Green Wrinkled (yyrr)	10	15	^(15-10)²⁄ _15²	0.111
N = 160				χ² = 0.405

Your lab partner is trying again (eye roll) and did another a chi-square (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 (H₀), so you know that part is correct, but they got confused and were unsure about how to calculate the chi-square statistic (χ²). So much so that they did it three (3) different ways.

Before you ask your instructor for a new lab partner, tell them which table is correct AND whether they can reject or fail to reject the null hypothesis (H₀) using the information provided.

Table 1 with χ² = 21.044 is correct and we REJECT the null hypothesis (H₀) Correct Table 2 with χ² = 0.756 is correct and we REJECT the null hypothesis (H₀) Incorrect Table 3 with χ² = 0.405 is correct and we REJECT the null hypothesis (H₀) Incorrect Table 1 with χ² = 21.044 is correct and we FAIL to REJECT the null hypothesis (H₀) Incorrect Table 2 with χ² = 0.756 is correct and we FAIL to REJECT the null hypothesis (H₀) Incorrect Table 3 with χ² = 0.405 is correct and we FAIL to REJECT the null hypothesis (H₀) Incorrect MC

3741_4736

The table below gives chi-square critical values for each probability in the right tail.

Degrees of freedom	0.95	0.90	0.75	0.50	0.25	0.10	0.05	0.01
1	0.00	0.02	0.10	0.45	1.32	2.71	3.84	6.63
2	0.10	0.21	0.58	1.39	2.77	4.61	5.99	9.21
3	0.35	0.58	1.21	2.37	4.11	6.25	7.81	11.34
4	0.71	1.06	1.92	3.36	5.39	7.78	9.49	13.28

**Table 1**
Category	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	101	^(101-90)²⁄ ₁₀₁	1.198
Yellow Wrinkled (Y–rr)	30	26	^(26-30)²⁄ ₂₆	0.615
Green Round (yyR–)	30	28	^(28-30)²⁄ ₂₈	0.143
Green Wrinkled (yyrr)	10	5	^(5-10)²⁄ ₅	5.000
N = 160				χ² = 6.956

**Table 2**
Category	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	101	^(101-90)²⁄ ₉₀	1.344
Yellow Wrinkled (Y–rr)	30	26	^(26-30)²⁄ ₃₀	0.533
Green Round (yyR–)	30	28	^(28-30)²⁄ ₃₀	0.133
Green Wrinkled (yyrr)	10	5	^(5-10)²⁄ ₁₀	2.500
N = 160				χ² = 4.511

**Table 3**
Category	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	101	^(101-90)²⁄ _101²	0.012
Yellow Wrinkled (Y–rr)	30	26	^(26-30)²⁄ _26²	0.024
Green Round (yyR–)	30	28	^(28-30)²⁄ _28²	0.005
Green Wrinkled (yyrr)	10	5	^(5-10)²⁄ _5²	1.000
N = 160				χ² = 1.041

Before you ask your instructor for a new lab partner, tell them which table is correct AND whether they can reject or fail to reject the null hypothesis (H₀) using the information provided.

Table 1 with χ² = 6.956 is correct and we REJECT the null hypothesis (H₀) Incorrect Table 2 with χ² = 4.511 is correct and we REJECT the null hypothesis (H₀) Incorrect Table 3 with χ² = 1.041 is correct and we REJECT the null hypothesis (H₀) Incorrect Table 1 with χ² = 6.956 is correct and we FAIL to REJECT the null hypothesis (H₀) Incorrect Table 2 with χ² = 4.511 is correct and we FAIL to REJECT the null hypothesis (H₀) Correct Table 3 with χ² = 1.041 is correct and we FAIL to REJECT the null hypothesis (H₀) Incorrect MC

adc5_6f1d

The table below gives chi-square critical values for each probability in the right tail.

Degrees of freedom	0.95	0.90	0.75	0.50	0.25	0.10	0.05	0.01
1	0.00	0.02	0.10	0.45	1.32	2.71	3.84	6.63
2	0.10	0.21	0.58	1.39	2.77	4.61	5.99	9.21
3	0.35	0.58	1.21	2.37	4.11	6.25	7.81	11.34
4	0.71	1.06	1.92	3.36	5.39	7.78	9.49	13.28

**Table 1**
Category	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	97	^(97-90)²⁄ ₉₀	0.544
Yellow Wrinkled (Y–rr)	30	26	^(26-30)²⁄ ₃₀	0.533
Green Round (yyR–)	30	30	^(30-30)²⁄ ₃₀	0.000
Green Wrinkled (yyrr)	10	7	^(7-10)²⁄ ₁₀	0.900
N = 160				χ² = 1.978

**Table 2**
Category	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	97	^(97-90)²⁄ ₉₇	0.505
Yellow Wrinkled (Y–rr)	30	26	^(26-30)²⁄ ₂₆	0.615
Green Round (yyR–)	30	30	^(30-30)²⁄ ₃₀	0.000
Green Wrinkled (yyrr)	10	7	^(7-10)²⁄ ₇	1.286
N = 160				χ² = 2.406

**Table 3**
Category	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	97	^(97-90)²⁄ _97²	0.005
Yellow Wrinkled (Y–rr)	30	26	^(26-30)²⁄ _26²	0.024
Green Round (yyR–)	30	30	^(30-30)²⁄ _30²	0.000
Green Wrinkled (yyrr)	10	7	^(7-10)²⁄ _7²	0.184
N = 160				χ² = 0.213

Before you ask your instructor for a new lab partner, tell them which table is correct AND whether they can reject or fail to reject the null hypothesis (H₀) using the information provided.

Table 1 with χ² = 1.978 is correct and we REJECT the null hypothesis (H₀) Incorrect Table 2 with χ² = 2.406 is correct and we REJECT the null hypothesis (H₀) Incorrect Table 3 with χ² = 0.213 is correct and we REJECT the null hypothesis (H₀) Incorrect Table 1 with χ² = 1.978 is correct and we FAIL to REJECT the null hypothesis (H₀) Correct Table 2 with χ² = 2.406 is correct and we FAIL to REJECT the null hypothesis (H₀) Incorrect Table 3 with χ² = 0.213 is correct and we FAIL to REJECT the null hypothesis (H₀) Incorrect MC

f5c8_ce49

The table below gives chi-square critical values for each probability in the right tail.

Degrees of freedom	0.95	0.90	0.75	0.50	0.25	0.10	0.05	0.01
1	0.00	0.02	0.10	0.45	1.32	2.71	3.84	6.63
2	0.10	0.21	0.58	1.39	2.77	4.61	5.99	9.21
3	0.35	0.58	1.21	2.37	4.11	6.25	7.81	11.34
4	0.71	1.06	1.92	3.36	5.39	7.78	9.49	13.28

**Table 1**
Category	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	81	^(81-90)²⁄ ₈₁	1.000
Yellow Wrinkled (Y–rr)	30	30	^(30-30)²⁄ ₃₀	0.000
Green Round (yyR–)	30	37	^(37-30)²⁄ ₃₇	1.324
Green Wrinkled (yyrr)	10	12	^(12-10)²⁄ ₁₂	0.333
N = 160				χ² = 2.658

**Table 2**
Category	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	81	^(81-90)²⁄ _81²	0.012
Yellow Wrinkled (Y–rr)	30	30	^(30-30)²⁄ _30²	0.000
Green Round (yyR–)	30	37	^(37-30)²⁄ _37²	0.036
Green Wrinkled (yyrr)	10	12	^(12-10)²⁄ _12²	0.028
N = 160				χ² = 0.076

**Table 3**
Category	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	81	^(81-90)²⁄ ₉₀	0.900
Yellow Wrinkled (Y–rr)	30	30	^(30-30)²⁄ ₃₀	0.000
Green Round (yyR–)	30	37	^(37-30)²⁄ ₃₀	1.633
Green Wrinkled (yyrr)	10	12	^(12-10)²⁄ ₁₀	0.400
N = 160				χ² = 2.933

Before you ask your instructor for a new lab partner, tell them which table is correct AND whether they can reject or fail to reject the null hypothesis (H₀) using the information provided.

Table 1 with χ² = 2.658 is correct and we REJECT the null hypothesis (H₀) Incorrect Table 2 with χ² = 0.076 is correct and we REJECT the null hypothesis (H₀) Incorrect Table 3 with χ² = 2.933 is correct and we REJECT the null hypothesis (H₀) Incorrect Table 1 with χ² = 2.658 is correct and we FAIL to REJECT the null hypothesis (H₀) Incorrect Table 2 with χ² = 0.076 is correct and we FAIL to REJECT the null hypothesis (H₀) Incorrect Table 3 with χ² = 2.933 is correct and we FAIL to REJECT the null hypothesis (H₀) Correct MC

4bf6_0b2c

The table below gives chi-square critical values for each probability in the right tail.

Degrees of freedom	0.95	0.90	0.75	0.50	0.25	0.10	0.05	0.01
1	0.00	0.02	0.10	0.45	1.32	2.71	3.84	6.63
2	0.10	0.21	0.58	1.39	2.77	4.61	5.99	9.21
3	0.35	0.58	1.21	2.37	4.11	6.25	7.81	11.34
4	0.71	1.06	1.92	3.36	5.39	7.78	9.49	13.28

**Table 1**
Category	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	84	^(84-90)²⁄ ₉₀	0.400
Yellow Wrinkled (Y–rr)	30	10	^(10-30)²⁄ ₃₀	13.333
Green Round (yyR–)	30	49	^(49-30)²⁄ ₃₀	12.033
Green Wrinkled (yyrr)	10	17	^(17-10)²⁄ ₁₀	4.900
N = 160				χ² = 30.667

**Table 2**
Category	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	84	^(84-90)²⁄ ₈₄	0.429
Yellow Wrinkled (Y–rr)	30	10	^(10-30)²⁄ ₁₀	40.000
Green Round (yyR–)	30	49	^(49-30)²⁄ ₄₉	7.367
Green Wrinkled (yyrr)	10	17	^(17-10)²⁄ ₁₇	2.882
N = 160				χ² = 50.678

**Table 3**
Category	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	84	^(84-90)⁄ ₉₀	-0.067
Yellow Wrinkled (Y–rr)	30	10	^(10-30)⁄ ₃₀	-0.667
Green Round (yyR–)	30	49	^(49-30)⁄ ₃₀	0.633
Green Wrinkled (yyrr)	10	17	^(17-10)⁄ ₁₀	0.700
N = 160				χ² = 0.600

Before you ask your instructor for a new lab partner, tell them which table is correct AND whether they can reject or fail to reject the null hypothesis (H₀) using the information provided.

Table 1 with χ² = 30.667 is correct and we REJECT the null hypothesis (H₀) Correct Table 2 with χ² = 50.678 is correct and we REJECT the null hypothesis (H₀) Incorrect Table 3 with χ² = 0.600 is correct and we REJECT the null hypothesis (H₀) Incorrect Table 1 with χ² = 30.667 is correct and we FAIL to REJECT the null hypothesis (H₀) Incorrect Table 2 with χ² = 50.678 is correct and we FAIL to REJECT the null hypothesis (H₀) Incorrect Table 3 with χ² = 0.600 is correct and we FAIL to REJECT the null hypothesis (H₀) Incorrect MC

708c_3317

The table below gives chi-square critical values for each probability in the right tail.

Degrees of freedom	0.95	0.90	0.75	0.50	0.25	0.10	0.05	0.01
1	0.00	0.02	0.10	0.45	1.32	2.71	3.84	6.63
2	0.10	0.21	0.58	1.39	2.77	4.61	5.99	9.21
3	0.35	0.58	1.21	2.37	4.11	6.25	7.81	11.34
4	0.71	1.06	1.92	3.36	5.39	7.78	9.49	13.28

**Table 1**
Category	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	94	^(94-90)²⁄ ₉₀	0.178
Yellow Wrinkled (Y–rr)	30	25	^(25-30)²⁄ ₃₀	0.833
Green Round (yyR–)	30	33	^(33-30)²⁄ ₃₀	0.300
Green Wrinkled (yyrr)	10	8	^(8-10)²⁄ ₁₀	0.400
N = 160				χ² = 1.711

**Table 2**
Category	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	94	^(94-90)⁄ ₉₀	0.044
Yellow Wrinkled (Y–rr)	30	25	^(25-30)⁄ ₃₀	-0.167
Green Round (yyR–)	30	33	^(33-30)⁄ ₃₀	0.100
Green Wrinkled (yyrr)	10	8	^(8-10)⁄ ₁₀	-0.200
N = 160				χ² = -0.222

**Table 3**
Category	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	94	^(94-90)²⁄ ₉₄	0.170
Yellow Wrinkled (Y–rr)	30	25	^(25-30)²⁄ ₂₅	1.000
Green Round (yyR–)	30	33	^(33-30)²⁄ ₃₃	0.273
Green Wrinkled (yyrr)	10	8	^(8-10)²⁄ ₈	0.500
N = 160				χ² = 1.943

Before you ask your instructor for a new lab partner, tell them which table is correct AND whether they can reject or fail to reject the null hypothesis (H₀) using the information provided.

Table 1 with χ² = 1.711 is correct and we REJECT the null hypothesis (H₀) Incorrect Table 2 with χ² = -0.222 is correct and we REJECT the null hypothesis (H₀) Incorrect Table 3 with χ² = 1.943 is correct and we REJECT the null hypothesis (H₀) Incorrect Table 1 with χ² = 1.711 is correct and we FAIL to REJECT the null hypothesis (H₀) Correct Table 2 with χ² = -0.222 is correct and we FAIL to REJECT the null hypothesis (H₀) Incorrect Table 3 with χ² = 1.943 is correct and we FAIL to REJECT the null hypothesis (H₀) Incorrect MC

b17b_6b02

The table below gives chi-square critical values for each probability in the right tail.

Degrees of freedom	0.95	0.90	0.75	0.50	0.25	0.10	0.05	0.01
1	0.00	0.02	0.10	0.45	1.32	2.71	3.84	6.63
2	0.10	0.21	0.58	1.39	2.77	4.61	5.99	9.21
3	0.35	0.58	1.21	2.37	4.11	6.25	7.81	11.34
4	0.71	1.06	1.92	3.36	5.39	7.78	9.49	13.28

**Table 1**
Category	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	82	^(82-90)⁄ ₉₀	-0.089
Yellow Wrinkled (Y–rr)	30	29	^(29-30)⁄ ₃₀	-0.033
Green Round (yyR–)	30	34	^(34-30)⁄ ₃₀	0.133
Green Wrinkled (yyrr)	10	15	^(15-10)⁄ ₁₀	0.500
N = 160				χ² = 0.511

**Table 2**
Category	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	82	^(82-90)²⁄ ₉₀	0.711
Yellow Wrinkled (Y–rr)	30	29	^(29-30)²⁄ ₃₀	0.033
Green Round (yyR–)	30	34	^(34-30)²⁄ ₃₀	0.533
Green Wrinkled (yyrr)	10	15	^(15-10)²⁄ ₁₀	2.500
N = 160				χ² = 3.778

**Table 3**
Category	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	82	^(82-90)²⁄ ₈₂	0.780
Yellow Wrinkled (Y–rr)	30	29	^(29-30)²⁄ ₂₉	0.034
Green Round (yyR–)	30	34	^(34-30)²⁄ ₃₄	0.471
Green Wrinkled (yyrr)	10	15	^(15-10)²⁄ ₁₅	1.667
N = 160				χ² = 2.952

Before you ask your instructor for a new lab partner, tell them which table is correct AND whether they can reject or fail to reject the null hypothesis (H₀) using the information provided.

Table 1 with χ² = 0.511 is correct and we REJECT the null hypothesis (H₀) Incorrect Table 2 with χ² = 3.778 is correct and we REJECT the null hypothesis (H₀) Incorrect Table 3 with χ² = 2.952 is correct and we REJECT the null hypothesis (H₀) Incorrect Table 1 with χ² = 0.511 is correct and we FAIL to REJECT the null hypothesis (H₀) Incorrect Table 2 with χ² = 3.778 is correct and we FAIL to REJECT the null hypothesis (H₀) Correct Table 3 with χ² = 2.952 is correct and we FAIL to REJECT the null hypothesis (H₀) Incorrect MC

4e71_6d13

The table below gives chi-square critical values for each probability in the right tail.

Degrees of freedom	0.95	0.90	0.75	0.50	0.25	0.10	0.05	0.01
1	0.00	0.02	0.10	0.45	1.32	2.71	3.84	6.63
2	0.10	0.21	0.58	1.39	2.77	4.61	5.99	9.21
3	0.35	0.58	1.21	2.37	4.11	6.25	7.81	11.34
4	0.71	1.06	1.92	3.36	5.39	7.78	9.49	13.28

**Table 1**
Category	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	101	^(101-90)⁄ ₉₀	0.122
Yellow Wrinkled (Y–rr)	30	26	^(26-30)⁄ ₃₀	-0.133
Green Round (yyR–)	30	28	^(28-30)⁄ ₃₀	-0.067
Green Wrinkled (yyrr)	10	5	^(5-10)⁄ ₁₀	-0.500
N = 160				χ² = -0.578

**Table 2**
Category	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	101	^(101-90)²⁄ _101²	0.012
Yellow Wrinkled (Y–rr)	30	26	^(26-30)²⁄ _26²	0.024
Green Round (yyR–)	30	28	^(28-30)²⁄ _28²	0.005
Green Wrinkled (yyrr)	10	5	^(5-10)²⁄ _5²	1.000
N = 160				χ² = 1.041

**Table 3**
Category	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	101	^(101-90)²⁄ ₉₀	1.344
Yellow Wrinkled (Y–rr)	30	26	^(26-30)²⁄ ₃₀	0.533
Green Round (yyR–)	30	28	^(28-30)²⁄ ₃₀	0.133
Green Wrinkled (yyrr)	10	5	^(5-10)²⁄ ₁₀	2.500
N = 160				χ² = 4.511

Before you ask your instructor for a new lab partner, tell them which table is correct AND whether they can reject or fail to reject the null hypothesis (H₀) using the information provided.

Table 1 with χ² = -0.578 is correct and we REJECT the null hypothesis (H₀) Incorrect Table 2 with χ² = 1.041 is correct and we REJECT the null hypothesis (H₀) Incorrect Table 3 with χ² = 4.511 is correct and we REJECT the null hypothesis (H₀) Incorrect Table 1 with χ² = -0.578 is correct and we FAIL to REJECT the null hypothesis (H₀) Incorrect Table 2 with χ² = 1.041 is correct and we FAIL to REJECT the null hypothesis (H₀) Incorrect Table 3 with χ² = 4.511 is correct and we FAIL to REJECT the null hypothesis (H₀) Correct MC

8b84_dd7d

The table below gives chi-square critical values for each probability in the right tail.

Degrees of freedom	0.95	0.90	0.75	0.50	0.25	0.10	0.05	0.01
1	0.00	0.02	0.10	0.45	1.32	2.71	3.84	6.63
2	0.10	0.21	0.58	1.39	2.77	4.61	5.99	9.21
3	0.35	0.58	1.21	2.37	4.11	6.25	7.81	11.34
4	0.71	1.06	1.92	3.36	5.39	7.78	9.49	13.28

**Table 1**
Category	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	78	^(78-90)²⁄ ₉₀	1.600
Yellow Wrinkled (Y–rr)	30	16	^(16-30)²⁄ ₃₀	6.533
Green Round (yyR–)	30	49	^(49-30)²⁄ ₃₀	12.033
Green Wrinkled (yyrr)	10	17	^(17-10)²⁄ ₁₀	4.900
N = 160				χ² = 25.067

**Table 2**
Category	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	78	^(78-90)²⁄ ₇₈	1.846
Yellow Wrinkled (Y–rr)	30	16	^(16-30)²⁄ ₁₆	12.250
Green Round (yyR–)	30	49	^(49-30)²⁄ ₄₉	7.367
Green Wrinkled (yyrr)	10	17	^(17-10)²⁄ ₁₇	2.882
N = 160				χ² = 24.346

**Table 3**
Category	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	78	^(78-90)²⁄ _78²	0.024
Yellow Wrinkled (Y–rr)	30	16	^(16-30)²⁄ _16²	0.766
Green Round (yyR–)	30	49	^(49-30)²⁄ _49²	0.150
Green Wrinkled (yyrr)	10	17	^(17-10)²⁄ _17²	0.170
N = 160				χ² = 1.109

Before you ask your instructor for a new lab partner, tell them which table is correct AND whether they can reject or fail to reject the null hypothesis (H₀) using the information provided.

Table 1 with χ² = 25.067 is correct and we REJECT the null hypothesis (H₀) Correct Table 2 with χ² = 24.346 is correct and we REJECT the null hypothesis (H₀) Incorrect Table 3 with χ² = 1.109 is correct and we REJECT the null hypothesis (H₀) Incorrect Table 1 with χ² = 25.067 is correct and we FAIL to REJECT the null hypothesis (H₀) Incorrect Table 2 with χ² = 24.346 is correct and we FAIL to REJECT the null hypothesis (H₀) Incorrect Table 3 with χ² = 1.109 is correct and we FAIL to REJECT the null hypothesis (H₀) Incorrect MC

0146_9bcb

The table below gives chi-square critical values for each probability in the right tail.

Degrees of freedom	0.95	0.90	0.75	0.50	0.25	0.10	0.05	0.01
1	0.00	0.02	0.10	0.45	1.32	2.71	3.84	6.63
2	0.10	0.21	0.58	1.39	2.77	4.61	5.99	9.21
3	0.35	0.58	1.21	2.37	4.11	6.25	7.81	11.34
4	0.71	1.06	1.92	3.36	5.39	7.78	9.49	13.28

**Table 1**
Category	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	86	^(86-90)²⁄ _86²	0.002
Yellow Wrinkled (Y–rr)	30	26	^(26-30)²⁄ _26²	0.024
Green Round (yyR–)	30	35	^(35-30)²⁄ _35²	0.020
Green Wrinkled (yyrr)	10	13	^(13-10)²⁄ _13²	0.053
N = 160				χ² = 0.099

**Table 2**
Category	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	86	^(86-90)⁄ ₉₀	-0.044
Yellow Wrinkled (Y–rr)	30	26	^(26-30)⁄ ₃₀	-0.133
Green Round (yyR–)	30	35	^(35-30)⁄ ₃₀	0.167
Green Wrinkled (yyrr)	10	13	^(13-10)⁄ ₁₀	0.300
N = 160				χ² = 0.289

**Table 3**
Category	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	86	^(86-90)²⁄ ₉₀	0.178
Yellow Wrinkled (Y–rr)	30	26	^(26-30)²⁄ ₃₀	0.533
Green Round (yyR–)	30	35	^(35-30)²⁄ ₃₀	0.833
Green Wrinkled (yyrr)	10	13	^(13-10)²⁄ ₁₀	0.900
N = 160				χ² = 2.444

Before you ask your instructor for a new lab partner, tell them which table is correct AND whether they can reject or fail to reject the null hypothesis (H₀) using the information provided.

Table 1 with χ² = 0.099 is correct and we REJECT the null hypothesis (H₀) Incorrect Table 2 with χ² = 0.289 is correct and we REJECT the null hypothesis (H₀) Incorrect Table 3 with χ² = 2.444 is correct and we REJECT the null hypothesis (H₀) Incorrect Table 1 with χ² = 0.099 is correct and we FAIL to REJECT the null hypothesis (H₀) Incorrect Table 2 with χ² = 0.289 is correct and we FAIL to REJECT the null hypothesis (H₀) Incorrect Table 3 with χ² = 2.444 is correct and we FAIL to REJECT the null hypothesis (H₀) Correct MC

34fd_eab0

The table below gives chi-square critical values for each probability in the right tail.

Degrees of freedom	0.95	0.90	0.75	0.50	0.25	0.10	0.05	0.01
1	0.00	0.02	0.10	0.45	1.32	2.71	3.84	6.63
2	0.10	0.21	0.58	1.39	2.77	4.61	5.99	9.21
3	0.35	0.58	1.21	2.37	4.11	6.25	7.81	11.34
4	0.71	1.06	1.92	3.36	5.39	7.78	9.49	13.28

**Table 1**
Category	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	84	^(84-90)²⁄ ₉₀	0.400
Yellow Wrinkled (Y–rr)	30	32	^(32-30)²⁄ ₃₀	0.133
Green Round (yyR–)	30	39	^(39-30)²⁄ ₃₀	2.700
Green Wrinkled (yyrr)	10	5	^(5-10)²⁄ ₁₀	2.500
N = 160				χ² = 5.733

**Table 2**
Category	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	84	^(84-90)²⁄ _84²	0.005
Yellow Wrinkled (Y–rr)	30	32	^(32-30)²⁄ _32²	0.004
Green Round (yyR–)	30	39	^(39-30)²⁄ _39²	0.053
Green Wrinkled (yyrr)	10	5	^(5-10)²⁄ _5²	1.000
N = 160				χ² = 1.062

**Table 3**
Category	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	84	^(84-90)⁄ ₉₀	-0.067
Yellow Wrinkled (Y–rr)	30	32	^(32-30)⁄ ₃₀	0.067
Green Round (yyR–)	30	39	^(39-30)⁄ ₃₀	0.300
Green Wrinkled (yyrr)	10	5	^(5-10)⁄ ₁₀	-0.500
N = 160				χ² = -0.200

Before you ask your instructor for a new lab partner, tell them which table is correct AND whether they can reject or fail to reject the null hypothesis (H₀) using the information provided.

Table 1 with χ² = 5.733 is correct and we REJECT the null hypothesis (H₀) Incorrect Table 2 with χ² = 1.062 is correct and we REJECT the null hypothesis (H₀) Incorrect Table 3 with χ² = -0.200 is correct and we REJECT the null hypothesis (H₀) Incorrect Table 1 with χ² = 5.733 is correct and we FAIL to REJECT the null hypothesis (H₀) Correct Table 2 with χ² = 1.062 is correct and we FAIL to REJECT the null hypothesis (H₀) Incorrect Table 3 with χ² = -0.200 is correct and we FAIL to REJECT the null hypothesis (H₀) Incorrect MC

248b_c86d

The table below gives chi-square critical values for each probability in the right tail.

Degrees of freedom	0.95	0.90	0.75	0.50	0.25	0.10	0.05	0.01
1	0.00	0.02	0.10	0.45	1.32	2.71	3.84	6.63
2	0.10	0.21	0.58	1.39	2.77	4.61	5.99	9.21
3	0.35	0.58	1.21	2.37	4.11	6.25	7.81	11.34
4	0.71	1.06	1.92	3.36	5.39	7.78	9.49	13.28

**Table 1**
Category	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	96	^(96-90)²⁄ _96²	0.004
Yellow Wrinkled (Y–rr)	30	11	^(11-30)²⁄ _11²	2.983
Green Round (yyR–)	30	37	^(37-30)²⁄ _37²	0.036
Green Wrinkled (yyrr)	10	16	^(16-10)²⁄ _16²	0.141
N = 160				χ² = 3.164

**Table 2**
Category	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	96	^(96-90)²⁄ ₉₀	0.400
Yellow Wrinkled (Y–rr)	30	11	^(11-30)²⁄ ₃₀	12.033
Green Round (yyR–)	30	37	^(37-30)²⁄ ₃₀	1.633
Green Wrinkled (yyrr)	10	16	^(16-10)²⁄ ₁₀	3.600
N = 160				χ² = 17.667

**Table 3**
Category	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	96	^(96-90)²⁄ ₉₆	0.375
Yellow Wrinkled (Y–rr)	30	11	^(11-30)²⁄ ₁₁	32.818
Green Round (yyR–)	30	37	^(37-30)²⁄ ₃₇	1.324
Green Wrinkled (yyrr)	10	16	^(16-10)²⁄ ₁₆	2.250
N = 160				χ² = 36.768

Before you ask your instructor for a new lab partner, tell them which table is correct AND whether they can reject or fail to reject the null hypothesis (H₀) using the information provided.

Table 1 with χ² = 3.164 is correct and we REJECT the null hypothesis (H₀) Incorrect Table 2 with χ² = 17.667 is correct and we REJECT the null hypothesis (H₀) Correct Table 3 with χ² = 36.768 is correct and we REJECT the null hypothesis (H₀) Incorrect Table 1 with χ² = 3.164 is correct and we FAIL to REJECT the null hypothesis (H₀) Incorrect Table 2 with χ² = 17.667 is correct and we FAIL to REJECT the null hypothesis (H₀) Incorrect Table 3 with χ² = 36.768 is correct and we FAIL to REJECT the null hypothesis (H₀) Incorrect MC

c99f_8ac2

The table below gives chi-square critical values for each probability in the right tail.

Degrees of freedom	0.95	0.90	0.75	0.50	0.25	0.10	0.05	0.01
1	0.00	0.02	0.10	0.45	1.32	2.71	3.84	6.63
2	0.10	0.21	0.58	1.39	2.77	4.61	5.99	9.21
3	0.35	0.58	1.21	2.37	4.11	6.25	7.81	11.34
4	0.71	1.06	1.92	3.36	5.39	7.78	9.49	13.28

**Table 1**
Category	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	97	^(97-90)⁄ ₉₀	0.078
Yellow Wrinkled (Y–rr)	30	25	^(25-30)⁄ ₃₀	-0.167
Green Round (yyR–)	30	31	^(31-30)⁄ ₃₀	0.033
Green Wrinkled (yyrr)	10	7	^(7-10)⁄ ₁₀	-0.300
N = 160				χ² = -0.356

**Table 2**
Category	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	97	^(97-90)²⁄ _97²	0.005
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	7	^(7-10)²⁄ _7²	0.184
N = 160				χ² = 0.230

**Table 3**
Category	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	97	^(97-90)²⁄ ₉₀	0.544
Yellow Wrinkled (Y–rr)	30	25	^(25-30)²⁄ ₃₀	0.833
Green Round (yyR–)	30	31	^(31-30)²⁄ ₃₀	0.033
Green Wrinkled (yyrr)	10	7	^(7-10)²⁄ ₁₀	0.900
N = 160				χ² = 2.311

Before you ask your instructor for a new lab partner, tell them which table is correct AND whether they can reject or fail to reject the null hypothesis (H₀) using the information provided.

Table 1 with χ² = -0.356 is correct and we REJECT the null hypothesis (H₀) Incorrect Table 2 with χ² = 0.230 is correct and we REJECT the null hypothesis (H₀) Incorrect Table 3 with χ² = 2.311 is correct and we REJECT the null hypothesis (H₀) Incorrect Table 1 with χ² = -0.356 is correct and we FAIL to REJECT the null hypothesis (H₀) Incorrect Table 2 with χ² = 0.230 is correct and we FAIL to REJECT the null hypothesis (H₀) Incorrect Table 3 with χ² = 2.311 is correct and we FAIL to REJECT the null hypothesis (H₀) Correct MC

cd6f_c44f

The table below gives chi-square critical values for each probability in the right tail.

Degrees of freedom	0.95	0.90	0.75	0.50	0.25	0.10	0.05	0.01
1	0.00	0.02	0.10	0.45	1.32	2.71	3.84	6.63
2	0.10	0.21	0.58	1.39	2.77	4.61	5.99	9.21
3	0.35	0.58	1.21	2.37	4.11	6.25	7.81	11.34
4	0.71	1.06	1.92	3.36	5.39	7.78	9.49	13.28

**Table 1**
Category	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	77	^(77-90)⁄ ₉₀	-0.144
Yellow Wrinkled (Y–rr)	30	22	^(22-30)⁄ ₃₀	-0.267
Green Round (yyR–)	30	44	^(44-30)⁄ ₃₀	0.467
Green Wrinkled (yyrr)	10	17	^(17-10)⁄ ₁₀	0.700
N = 160				χ² = 0.756

**Table 2**
Category	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	77	^(77-90)²⁄ ₉₀	1.878
Yellow Wrinkled (Y–rr)	30	22	^(22-30)²⁄ ₃₀	2.133
Green Round (yyR–)	30	44	^(44-30)²⁄ ₃₀	6.533
Green Wrinkled (yyrr)	10	17	^(17-10)²⁄ ₁₀	4.900
N = 160				χ² = 15.444

**Table 3**
Category	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	77	^(77-90)²⁄ _77²	0.029
Yellow Wrinkled (Y–rr)	30	22	^(22-30)²⁄ _22²	0.132
Green Round (yyR–)	30	44	^(44-30)²⁄ _44²	0.101
Green Wrinkled (yyrr)	10	17	^(17-10)²⁄ _17²	0.170
N = 160				χ² = 0.432

Before you ask your instructor for a new lab partner, tell them which table is correct AND whether they can reject or fail to reject the null hypothesis (H₀) using the information provided.

Table 1 with χ² = 0.756 is correct and we REJECT the null hypothesis (H₀) Incorrect Table 2 with χ² = 15.444 is correct and we REJECT the null hypothesis (H₀) Correct Table 3 with χ² = 0.432 is correct and we REJECT the null hypothesis (H₀) Incorrect Table 1 with χ² = 0.756 is correct and we FAIL to REJECT the null hypothesis (H₀) Incorrect Table 2 with χ² = 15.444 is correct and we FAIL to REJECT the null hypothesis (H₀) Incorrect Table 3 with χ² = 0.432 is correct and we FAIL to REJECT the null hypothesis (H₀) Incorrect MC

06a6_4f1c

The table below gives chi-square critical values for each probability in the right tail.

Degrees of freedom	0.95	0.90	0.75	0.50	0.25	0.10	0.05	0.01
1	0.00	0.02	0.10	0.45	1.32	2.71	3.84	6.63
2	0.10	0.21	0.58	1.39	2.77	4.61	5.99	9.21
3	0.35	0.58	1.21	2.37	4.11	6.25	7.81	11.34
4	0.71	1.06	1.92	3.36	5.39	7.78	9.49	13.28

**Table 1**
Category	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	85	^(85-90)²⁄ ₈₅	0.294
Yellow Wrinkled (Y–rr)	30	27	^(27-30)²⁄ ₂₇	0.333
Green Round (yyR–)	30	36	^(36-30)²⁄ ₃₆	1.000
Green Wrinkled (yyrr)	10	12	^(12-10)²⁄ ₁₂	0.333
N = 160				χ² = 1.961

**Table 2**
Category	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	85	^(85-90)²⁄ _85²	0.003
Yellow Wrinkled (Y–rr)	30	27	^(27-30)²⁄ _27²	0.012
Green Round (yyR–)	30	36	^(36-30)²⁄ _36²	0.028
Green Wrinkled (yyrr)	10	12	^(12-10)²⁄ _12²	0.028
N = 160				χ² = 0.071

**Table 3**
Category	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	85	^(85-90)²⁄ ₉₀	0.278
Yellow Wrinkled (Y–rr)	30	27	^(27-30)²⁄ ₃₀	0.300
Green Round (yyR–)	30	36	^(36-30)²⁄ ₃₀	1.200
Green Wrinkled (yyrr)	10	12	^(12-10)²⁄ ₁₀	0.400
N = 160				χ² = 2.178

Before you ask your instructor for a new lab partner, tell them which table is correct AND whether they can reject or fail to reject the null hypothesis (H₀) using the information provided.

Table 1 with χ² = 1.961 is correct and we REJECT the null hypothesis (H₀) Incorrect Table 2 with χ² = 0.071 is correct and we REJECT the null hypothesis (H₀) Incorrect Table 3 with χ² = 2.178 is correct and we REJECT the null hypothesis (H₀) Incorrect Table 1 with χ² = 1.961 is correct and we FAIL to REJECT the null hypothesis (H₀) Incorrect Table 2 with χ² = 0.071 is correct and we FAIL to REJECT the null hypothesis (H₀) Incorrect Table 3 with χ² = 2.178 is correct and we FAIL to REJECT the null hypothesis (H₀) Correct MC

b2cc_92cb

The table below gives chi-square critical values for each probability in the right tail.

Degrees of freedom	0.95	0.90	0.75	0.50	0.25	0.10	0.05	0.01
1	0.00	0.02	0.10	0.45	1.32	2.71	3.84	6.63
2	0.10	0.21	0.58	1.39	2.77	4.61	5.99	9.21
3	0.35	0.58	1.21	2.37	4.11	6.25	7.81	11.34
4	0.71	1.06	1.92	3.36	5.39	7.78	9.49	13.28

**Table 1**
Category	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
N = 160				χ² = 11.378

**Table 2**
Category	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	79	^(79-90)⁄ ₉₀	-0.122
Yellow Wrinkled (Y–rr)	30	23	^(23-30)⁄ ₃₀	-0.233
Green Round (yyR–)	30	45	^(45-30)⁄ ₃₀	0.500
Green Wrinkled (yyrr)	10	13	^(13-10)⁄ ₁₀	0.300
N = 160				χ² = 0.444

**Table 3**
Category	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
N = 160				χ² = 9.354

Before you ask your instructor for a new lab partner, tell them which table is correct AND whether they can reject or fail to reject the null hypothesis (H₀) using the information provided.

Table 1 with χ² = 11.378 is correct and we REJECT the null hypothesis (H₀) Correct Table 2 with χ² = 0.444 is correct and we REJECT the null hypothesis (H₀) Incorrect Table 3 with χ² = 9.354 is correct and we REJECT the null hypothesis (H₀) Incorrect Table 1 with χ² = 11.378 is correct and we FAIL to REJECT the null hypothesis (H₀) Incorrect Table 2 with χ² = 0.444 is correct and we FAIL to REJECT the null hypothesis (H₀) Incorrect Table 3 with χ² = 9.354 is correct and we FAIL to REJECT the null hypothesis (H₀) Incorrect MC

18f6_0533

The table below gives chi-square critical values for each probability in the right tail.

Degrees of freedom	0.95	0.90	0.75	0.50	0.25	0.10	0.05	0.01
1	0.00	0.02	0.10	0.45	1.32	2.71	3.84	6.63
2	0.10	0.21	0.58	1.39	2.77	4.61	5.99	9.21
3	0.35	0.58	1.21	2.37	4.11	6.25	7.81	11.34
4	0.71	1.06	1.92	3.36	5.39	7.78	9.49	13.28

**Table 1**
Category	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	85	^(85-90)²⁄ ₉₀	0.278
Yellow Wrinkled (Y–rr)	30	29	^(29-30)²⁄ ₃₀	0.033
Green Round (yyR–)	30	33	^(33-30)²⁄ ₃₀	0.300
Green Wrinkled (yyrr)	10	13	^(13-10)²⁄ ₁₀	0.900
N = 160				χ² = 1.511

**Table 2**
Category	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	85	^(85-90)⁄ ₉₀	-0.056
Yellow Wrinkled (Y–rr)	30	29	^(29-30)⁄ ₃₀	-0.033
Green Round (yyR–)	30	33	^(33-30)⁄ ₃₀	0.100
Green Wrinkled (yyrr)	10	13	^(13-10)⁄ ₁₀	0.300
N = 160				χ² = 0.311

**Table 3**
Category	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	85	^(85-90)²⁄ _85²	0.003
Yellow Wrinkled (Y–rr)	30	29	^(29-30)²⁄ _29²	0.001
Green Round (yyR–)	30	33	^(33-30)²⁄ _33²	0.008
Green Wrinkled (yyrr)	10	13	^(13-10)²⁄ _13²	0.053
N = 160				χ² = 0.066

Before you ask your instructor for a new lab partner, tell them which table is correct AND whether they can reject or fail to reject the null hypothesis (H₀) using the information provided.

Table 1 with χ² = 1.511 is correct and we REJECT the null hypothesis (H₀) Incorrect Table 2 with χ² = 0.311 is correct and we REJECT the null hypothesis (H₀) Incorrect Table 3 with χ² = 0.066 is correct and we REJECT the null hypothesis (H₀) Incorrect Table 1 with χ² = 1.511 is correct and we FAIL to REJECT the null hypothesis (H₀) Correct Table 2 with χ² = 0.311 is correct and we FAIL to REJECT the null hypothesis (H₀) Incorrect Table 3 with χ² = 0.066 is correct and we FAIL to REJECT the null hypothesis (H₀) Incorrect MC

1ddf_e7c6

The table below gives chi-square critical values for each probability in the right tail.

Degrees of freedom	0.95	0.90	0.75	0.50	0.25	0.10	0.05	0.01
1	0.00	0.02	0.10	0.45	1.32	2.71	3.84	6.63
2	0.10	0.21	0.58	1.39	2.77	4.61	5.99	9.21
3	0.35	0.58	1.21	2.37	4.11	6.25	7.81	11.34
4	0.71	1.06	1.92	3.36	5.39	7.78	9.49	13.28

**Table 1**
Category	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	87	^(87-90)⁄ ₉₀	-0.033
Yellow Wrinkled (Y–rr)	30	16	^(16-30)⁄ ₃₀	-0.467
Green Round (yyR–)	30	41	^(41-30)⁄ ₃₀	0.367
Green Wrinkled (yyrr)	10	16	^(16-10)⁄ ₁₀	0.600
N = 160				χ² = 0.467

**Table 2**
Category	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	87	^(87-90)²⁄ _87²	0.001
Yellow Wrinkled (Y–rr)	30	16	^(16-30)²⁄ _16²	0.766
Green Round (yyR–)	30	41	^(41-30)²⁄ _41²	0.072
Green Wrinkled (yyrr)	10	16	^(16-10)²⁄ _16²	0.141
N = 160				χ² = 0.979

**Table 3**
Category	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	87	^(87-90)²⁄ ₉₀	0.100
Yellow Wrinkled (Y–rr)	30	16	^(16-30)²⁄ ₃₀	6.533
Green Round (yyR–)	30	41	^(41-30)²⁄ ₃₀	4.033
Green Wrinkled (yyrr)	10	16	^(16-10)²⁄ ₁₀	3.600
N = 160				χ² = 14.267

Before you ask your instructor for a new lab partner, tell them which table is correct AND whether they can reject or fail to reject the null hypothesis (H₀) using the information provided.

Table 1 with χ² = 0.467 is correct and we REJECT the null hypothesis (H₀) Incorrect Table 2 with χ² = 0.979 is correct and we REJECT the null hypothesis (H₀) Incorrect Table 3 with χ² = 14.267 is correct and we REJECT the null hypothesis (H₀) Correct Table 1 with χ² = 0.467 is correct and we FAIL to REJECT the null hypothesis (H₀) Incorrect Table 2 with χ² = 0.979 is correct and we FAIL to REJECT the null hypothesis (H₀) Incorrect Table 3 with χ² = 14.267 is correct and we FAIL to REJECT the null hypothesis (H₀) Incorrect MC

6463_7b11

The table below gives chi-square critical values for each probability in the right tail.

Degrees of freedom	0.95	0.90	0.75	0.50	0.25	0.10	0.05	0.01
1	0.00	0.02	0.10	0.45	1.32	2.71	3.84	6.63
2	0.10	0.21	0.58	1.39	2.77	4.61	5.99	9.21
3	0.35	0.58	1.21	2.37	4.11	6.25	7.81	11.34
4	0.71	1.06	1.92	3.36	5.39	7.78	9.49	13.28

**Table 1**
Category	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	81	^(81-90)²⁄ ₈₁	1.000
Yellow Wrinkled (Y–rr)	30	26	^(26-30)²⁄ ₂₆	0.615
Green Round (yyR–)	30	34	^(34-30)²⁄ ₃₄	0.471
Green Wrinkled (yyrr)	10	19	^(19-10)²⁄ ₁₉	4.263
N = 160				χ² = 6.349

**Table 2**
Category	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	81	^(81-90)²⁄ ₉₀	0.900
Yellow Wrinkled (Y–rr)	30	26	^(26-30)²⁄ ₃₀	0.533
Green Round (yyR–)	30	34	^(34-30)²⁄ ₃₀	0.533
Green Wrinkled (yyrr)	10	19	^(19-10)²⁄ ₁₀	8.100
N = 160				χ² = 10.067

**Table 3**
Category	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	81	^(81-90)²⁄ _81²	0.012
Yellow Wrinkled (Y–rr)	30	26	^(26-30)²⁄ _26²	0.024
Green Round (yyR–)	30	34	^(34-30)²⁄ _34²	0.014
Green Wrinkled (yyrr)	10	19	^(19-10)²⁄ _19²	0.224
N = 160				χ² = 0.274

Before you ask your instructor for a new lab partner, tell them which table is correct AND whether they can reject or fail to reject the null hypothesis (H₀) using the information provided.

Table 1 with χ² = 6.349 is correct and we REJECT the null hypothesis (H₀) Incorrect Table 2 with χ² = 10.067 is correct and we REJECT the null hypothesis (H₀) Correct Table 3 with χ² = 0.274 is correct and we REJECT the null hypothesis (H₀) Incorrect Table 1 with χ² = 6.349 is correct and we FAIL to REJECT the null hypothesis (H₀) Incorrect Table 2 with χ² = 10.067 is correct and we FAIL to REJECT the null hypothesis (H₀) Incorrect Table 3 with χ² = 0.274 is correct and we FAIL to REJECT the null hypothesis (H₀) Incorrect MC

fc56_2295

The table below gives chi-square critical values for each probability in the right tail.

Degrees of freedom	0.95	0.90	0.75	0.50	0.25	0.10	0.05	0.01
1	0.00	0.02	0.10	0.45	1.32	2.71	3.84	6.63
2	0.10	0.21	0.58	1.39	2.77	4.61	5.99	9.21
3	0.35	0.58	1.21	2.37	4.11	6.25	7.81	11.34
4	0.71	1.06	1.92	3.36	5.39	7.78	9.49	13.28

**Table 1**
Category	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	98	^(98-90)²⁄ ₉₀	0.711
Yellow Wrinkled (Y–rr)	30	35	^(35-30)²⁄ ₃₀	0.833
Green Round (yyR–)	30	20	^(20-30)²⁄ ₃₀	3.333
Green Wrinkled (yyrr)	10	7	^(7-10)²⁄ ₁₀	0.900
N = 160				χ² = 5.778

**Table 2**
Category	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	98	^(98-90)²⁄ ₉₈	0.653
Yellow Wrinkled (Y–rr)	30	35	^(35-30)²⁄ ₃₅	0.714
Green Round (yyR–)	30	20	^(20-30)²⁄ ₂₀	5.000
Green Wrinkled (yyrr)	10	7	^(7-10)²⁄ ₇	1.286
N = 160				χ² = 7.653

**Table 3**
Category	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	98	^(98-90)⁄ ₉₀	0.089
Yellow Wrinkled (Y–rr)	30	35	^(35-30)⁄ ₃₀	0.167
Green Round (yyR–)	30	20	^(20-30)⁄ ₃₀	-0.333
Green Wrinkled (yyrr)	10	7	^(7-10)⁄ ₁₀	-0.300
N = 160				χ² = -0.378

Before you ask your instructor for a new lab partner, tell them which table is correct AND whether they can reject or fail to reject the null hypothesis (H₀) using the information provided.

Table 1 with χ² = 5.778 is correct and we REJECT the null hypothesis (H₀) Incorrect Table 2 with χ² = 7.653 is correct and we REJECT the null hypothesis (H₀) Incorrect Table 3 with χ² = -0.378 is correct and we REJECT the null hypothesis (H₀) Incorrect Table 1 with χ² = 5.778 is correct and we FAIL to REJECT the null hypothesis (H₀) Correct Table 2 with χ² = 7.653 is correct and we FAIL to REJECT the null hypothesis (H₀) Incorrect Table 3 with χ² = -0.378 is correct and we FAIL to REJECT the null hypothesis (H₀) Incorrect MC

4b81_118d

The table below gives chi-square critical values for each probability in the right tail.

Degrees of freedom	0.95	0.90	0.75	0.50	0.25	0.10	0.05	0.01
1	0.00	0.02	0.10	0.45	1.32	2.71	3.84	6.63
2	0.10	0.21	0.58	1.39	2.77	4.61	5.99	9.21
3	0.35	0.58	1.21	2.37	4.11	6.25	7.81	11.34
4	0.71	1.06	1.92	3.36	5.39	7.78	9.49	13.28

**Table 1**
Category	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	79	^(79-90)²⁄ ₉₀	1.344
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	18	^(18-10)²⁄ ₁₀	6.400
N = 160				χ² = 15.244

**Table 2**
Category	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	79	^(79-90)⁄ ₉₀	-0.122
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	18	^(18-10)⁄ ₁₀	0.800
N = 160				χ² = 0.778

**Table 3**
Category	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	79	^(79-90)²⁄ _79²	0.019
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	18	^(18-10)²⁄ _18²	0.198
N = 160				χ² = 0.482

Before you ask your instructor for a new lab partner, tell them which table is correct AND whether they can reject or fail to reject the null hypothesis (H₀) using the information provided.

Table 1 with χ² = 15.244 is correct and we REJECT the null hypothesis (H₀) Correct Table 2 with χ² = 0.778 is correct and we REJECT the null hypothesis (H₀) Incorrect Table 3 with χ² = 0.482 is correct and we REJECT the null hypothesis (H₀) Incorrect Table 1 with χ² = 15.244 is correct and we FAIL to REJECT the null hypothesis (H₀) Incorrect Table 2 with χ² = 0.778 is correct and we FAIL to REJECT the null hypothesis (H₀) Incorrect Table 3 with χ² = 0.482 is correct and we FAIL to REJECT the null hypothesis (H₀) Incorrect MC

535f_2f4c

The table below gives chi-square critical values for each probability in the right tail.

Degrees of freedom	0.95	0.90	0.75	0.50	0.25	0.10	0.05	0.01
1	0.00	0.02	0.10	0.45	1.32	2.71	3.84	6.63
2	0.10	0.21	0.58	1.39	2.77	4.61	5.99	9.21
3	0.35	0.58	1.21	2.37	4.11	6.25	7.81	11.34
4	0.71	1.06	1.92	3.36	5.39	7.78	9.49	13.28

**Table 1**
Category	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	84	^(84-90)⁄ ₉₀	-0.067
Yellow Wrinkled (Y–rr)	30	18	^(18-30)⁄ ₃₀	-0.400
Green Round (yyR–)	30	40	^(40-30)⁄ ₃₀	0.333
Green Wrinkled (yyrr)	10	18	^(18-10)⁄ ₁₀	0.800
N = 160				χ² = 0.667

**Table 2**
Category	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	84	^(84-90)²⁄ ₉₀	0.400
Yellow Wrinkled (Y–rr)	30	18	^(18-30)²⁄ ₃₀	4.800
Green Round (yyR–)	30	40	^(40-30)²⁄ ₃₀	3.333
Green Wrinkled (yyrr)	10	18	^(18-10)²⁄ ₁₀	6.400
N = 160				χ² = 14.933

**Table 3**
Category	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	84	^(84-90)²⁄ ₈₄	0.429
Yellow Wrinkled (Y–rr)	30	18	^(18-30)²⁄ ₁₈	8.000
Green Round (yyR–)	30	40	^(40-30)²⁄ ₄₀	2.500
Green Wrinkled (yyrr)	10	18	^(18-10)²⁄ ₁₈	3.556
N = 160				χ² = 14.484

Before you ask your instructor for a new lab partner, tell them which table is correct AND whether they can reject or fail to reject the null hypothesis (H₀) using the information provided.

Table 1 with χ² = 0.667 is correct and we REJECT the null hypothesis (H₀) Incorrect Table 2 with χ² = 14.933 is correct and we REJECT the null hypothesis (H₀) Correct Table 3 with χ² = 14.484 is correct and we REJECT the null hypothesis (H₀) Incorrect Table 1 with χ² = 0.667 is correct and we FAIL to REJECT the null hypothesis (H₀) Incorrect Table 2 with χ² = 14.933 is correct and we FAIL to REJECT the null hypothesis (H₀) Incorrect Table 3 with χ² = 14.484 is correct and we FAIL to REJECT the null hypothesis (H₀) Incorrect MC

b26b_2345

The table below gives chi-square critical values for each probability in the right tail.

Degrees of freedom	0.95	0.90	0.75	0.50	0.25	0.10	0.05	0.01
1	0.00	0.02	0.10	0.45	1.32	2.71	3.84	6.63
2	0.10	0.21	0.58	1.39	2.77	4.61	5.99	9.21
3	0.35	0.58	1.21	2.37	4.11	6.25	7.81	11.34
4	0.71	1.06	1.92	3.36	5.39	7.78	9.49	13.28

**Table 1**
Category	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	95	^(95-90)⁄ ₉₀	0.056
Yellow Wrinkled (Y–rr)	30	17	^(17-30)⁄ ₃₀	-0.433
Green Round (yyR–)	30	32	^(32-30)⁄ ₃₀	0.067
Green Wrinkled (yyrr)	10	16	^(16-10)⁄ ₁₀	0.600
N = 160				χ² = 0.289

**Table 2**
Category	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	95	^(95-90)²⁄ ₉₀	0.278
Yellow Wrinkled (Y–rr)	30	17	^(17-30)²⁄ ₃₀	5.633
Green Round (yyR–)	30	32	^(32-30)²⁄ ₃₀	0.133
Green Wrinkled (yyrr)	10	16	^(16-10)²⁄ ₁₀	3.600
N = 160				χ² = 9.644

**Table 3**
Category	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	95	^(95-90)²⁄ _95²	0.003
Yellow Wrinkled (Y–rr)	30	17	^(17-30)²⁄ _17²	0.585
Green Round (yyR–)	30	32	^(32-30)²⁄ _32²	0.004
Green Wrinkled (yyrr)	10	16	^(16-10)²⁄ _16²	0.141
N = 160				χ² = 0.732

Before you ask your instructor for a new lab partner, tell them which table is correct AND whether they can reject or fail to reject the null hypothesis (H₀) using the information provided.

Table 1 with χ² = 0.289 is correct and we REJECT the null hypothesis (H₀) Incorrect Table 2 with χ² = 9.644 is correct and we REJECT the null hypothesis (H₀) Correct Table 3 with χ² = 0.732 is correct and we REJECT the null hypothesis (H₀) Incorrect Table 1 with χ² = 0.289 is correct and we FAIL to REJECT the null hypothesis (H₀) Incorrect Table 2 with χ² = 9.644 is correct and we FAIL to REJECT the null hypothesis (H₀) Incorrect Table 3 with χ² = 0.732 is correct and we FAIL to REJECT the null hypothesis (H₀) Incorrect MC

7d9c_2fd3

The table below gives chi-square critical values for each probability in the right tail.

Degrees of freedom	0.95	0.90	0.75	0.50	0.25	0.10	0.05	0.01
1	0.00	0.02	0.10	0.45	1.32	2.71	3.84	6.63
2	0.10	0.21	0.58	1.39	2.77	4.61	5.99	9.21
3	0.35	0.58	1.21	2.37	4.11	6.25	7.81	11.34
4	0.71	1.06	1.92	3.36	5.39	7.78	9.49	13.28

**Table 1**
Category	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
N = 160				χ² = 0.467

**Table 2**
Category	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	42	^(42-30)²⁄ ₄₂	3.429
Green Wrinkled (yyrr)	10	16	^(16-10)²⁄ ₁₆	2.250
N = 160				χ² = 20.782

**Table 3**
Category	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
N = 160				χ² = 16.000

Before you ask your instructor for a new lab partner, tell them which table is correct AND whether they can reject or fail to reject the null hypothesis (H₀) using the information provided.

Table 1 with χ² = 0.467 is correct and we REJECT the null hypothesis (H₀) Incorrect Table 2 with χ² = 20.782 is correct and we REJECT the null hypothesis (H₀) Incorrect Table 3 with χ² = 16.000 is correct and we REJECT the null hypothesis (H₀) Correct Table 1 with χ² = 0.467 is correct and we FAIL to REJECT the null hypothesis (H₀) Incorrect Table 2 with χ² = 20.782 is correct and we FAIL to REJECT the null hypothesis (H₀) Incorrect Table 3 with χ² = 16.000 is correct and we FAIL to REJECT the null hypothesis (H₀) Incorrect MC

170f_381a

The table below gives chi-square critical values for each probability in the right tail.

Degrees of freedom	0.95	0.90	0.75	0.50	0.25	0.10	0.05	0.01
1	0.00	0.02	0.10	0.45	1.32	2.71	3.84	6.63
2	0.10	0.21	0.58	1.39	2.77	4.61	5.99	9.21
3	0.35	0.58	1.21	2.37	4.11	6.25	7.81	11.34
4	0.71	1.06	1.92	3.36	5.39	7.78	9.49	13.28

**Table 1**
Category	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	79	^(79-90)⁄ ₉₀	-0.122
Yellow Wrinkled (Y–rr)	30	31	^(31-30)⁄ ₃₀	0.033
Green Round (yyR–)	30	37	^(37-30)⁄ ₃₀	0.233
Green Wrinkled (yyrr)	10	13	^(13-10)⁄ ₁₀	0.300
N = 160				χ² = 0.444

**Table 2**
Category	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	79	^(79-90)²⁄ ₇₉	1.532
Yellow Wrinkled (Y–rr)	30	31	^(31-30)²⁄ ₃₁	0.032
Green Round (yyR–)	30	37	^(37-30)²⁄ ₃₇	1.324
Green Wrinkled (yyrr)	10	13	^(13-10)²⁄ ₁₃	0.692
N = 160				χ² = 3.581

**Table 3**
Category	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	79	^(79-90)²⁄ ₉₀	1.344
Yellow Wrinkled (Y–rr)	30	31	^(31-30)²⁄ ₃₀	0.033
Green Round (yyR–)	30	37	^(37-30)²⁄ ₃₀	1.633
Green Wrinkled (yyrr)	10	13	^(13-10)²⁄ ₁₀	0.900
N = 160				χ² = 3.911

Before you ask your instructor for a new lab partner, tell them which table is correct AND whether they can reject or fail to reject the null hypothesis (H₀) using the information provided.

Table 1 with χ² = 0.444 is correct and we REJECT the null hypothesis (H₀) Incorrect Table 2 with χ² = 3.581 is correct and we REJECT the null hypothesis (H₀) Incorrect Table 3 with χ² = 3.911 is correct and we REJECT the null hypothesis (H₀) Incorrect Table 1 with χ² = 0.444 is correct and we FAIL to REJECT the null hypothesis (H₀) Incorrect Table 2 with χ² = 3.581 is correct and we FAIL to REJECT the null hypothesis (H₀) Incorrect Table 3 with χ² = 3.911 is correct and we FAIL to REJECT the null hypothesis (H₀) Correct MC

30b9_fa2e

The table below gives chi-square critical values for each probability in the right tail.

Degrees of freedom	0.95	0.90	0.75	0.50	0.25	0.10	0.05	0.01
1	0.00	0.02	0.10	0.45	1.32	2.71	3.84	6.63
2	0.10	0.21	0.58	1.39	2.77	4.61	5.99	9.21
3	0.35	0.58	1.21	2.37	4.11	6.25	7.81	11.34
4	0.71	1.06	1.92	3.36	5.39	7.78	9.49	13.28

**Table 1**
Category	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	44	^(44-30)²⁄ ₃₀	6.533
Green Wrinkled (yyrr)	10	17	^(17-10)²⁄ ₁₀	4.900
N = 160				χ² = 22.333

**Table 2**
Category	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	87	^(87-90)²⁄ ₈₇	0.103
Yellow Wrinkled (Y–rr)	30	12	^(12-30)²⁄ ₁₂	27.000
Green Round (yyR–)	30	44	^(44-30)²⁄ ₄₄	4.455
Green Wrinkled (yyrr)	10	17	^(17-10)²⁄ ₁₇	2.882
N = 160				χ² = 34.440

**Table 3**
Category	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	44	^(44-30)⁄ ₃₀	0.467
Green Wrinkled (yyrr)	10	17	^(17-10)⁄ ₁₀	0.700
N = 160				χ² = 0.533

Before you ask your instructor for a new lab partner, tell them which table is correct AND whether they can reject or fail to reject the null hypothesis (H₀) using the information provided.

Table 1 with χ² = 22.333 is correct and we REJECT the null hypothesis (H₀) Correct Table 2 with χ² = 34.440 is correct and we REJECT the null hypothesis (H₀) Incorrect Table 3 with χ² = 0.533 is correct and we REJECT the null hypothesis (H₀) Incorrect Table 1 with χ² = 22.333 is correct and we FAIL to REJECT the null hypothesis (H₀) Incorrect Table 2 with χ² = 34.440 is correct and we FAIL to REJECT the null hypothesis (H₀) Incorrect Table 3 with χ² = 0.533 is correct and we FAIL to REJECT the null hypothesis (H₀) Incorrect MC

f3c1_1b2e

The table below gives chi-square critical values for each probability in the right tail.

Degrees of freedom	0.95	0.90	0.75	0.50	0.25	0.10	0.05	0.01
1	0.00	0.02	0.10	0.45	1.32	2.71	3.84	6.63
2	0.10	0.21	0.58	1.39	2.77	4.61	5.99	9.21
3	0.35	0.58	1.21	2.37	4.11	6.25	7.81	11.34
4	0.71	1.06	1.92	3.36	5.39	7.78	9.49	13.28

**Table 1**
Category	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	76	^(76-90)²⁄ ₇₆	2.579
Yellow Wrinkled (Y–rr)	30	23	^(23-30)²⁄ ₂₃	2.130
Green Round (yyR–)	30	42	^(42-30)²⁄ ₄₂	3.429
Green Wrinkled (yyrr)	10	19	^(19-10)²⁄ ₁₉	4.263
N = 160				χ² = 12.401

**Table 2**
Category	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	76	^(76-90)²⁄ ₉₀	2.178
Yellow Wrinkled (Y–rr)	30	23	^(23-30)²⁄ ₃₀	1.633
Green Round (yyR–)	30	42	^(42-30)²⁄ ₃₀	4.800
Green Wrinkled (yyrr)	10	19	^(19-10)²⁄ ₁₀	8.100
N = 160				χ² = 16.711

**Table 3**
Category	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	76	^(76-90)⁄ ₉₀	-0.156
Yellow Wrinkled (Y–rr)	30	23	^(23-30)⁄ ₃₀	-0.233
Green Round (yyR–)	30	42	^(42-30)⁄ ₃₀	0.400
Green Wrinkled (yyrr)	10	19	^(19-10)⁄ ₁₀	0.900
N = 160				χ² = 0.911

Before you ask your instructor for a new lab partner, tell them which table is correct AND whether they can reject or fail to reject the null hypothesis (H₀) using the information provided.

Table 1 with χ² = 12.401 is correct and we REJECT the null hypothesis (H₀) Incorrect Table 2 with χ² = 16.711 is correct and we REJECT the null hypothesis (H₀) Correct Table 3 with χ² = 0.911 is correct and we REJECT the null hypothesis (H₀) Incorrect Table 1 with χ² = 12.401 is correct and we FAIL to REJECT the null hypothesis (H₀) Incorrect Table 2 with χ² = 16.711 is correct and we FAIL to REJECT the null hypothesis (H₀) Incorrect Table 3 with χ² = 0.911 is correct and we FAIL to REJECT the null hypothesis (H₀) Incorrect MC

92f3_6885

The table below gives chi-square critical values for each probability in the right tail.

Degrees of freedom	0.95	0.90	0.75	0.50	0.25	0.10	0.05	0.01
1	0.00	0.02	0.10	0.45	1.32	2.71	3.84	6.63
2	0.10	0.21	0.58	1.39	2.77	4.61	5.99	9.21
3	0.35	0.58	1.21	2.37	4.11	6.25	7.81	11.34
4	0.71	1.06	1.92	3.36	5.39	7.78	9.49	13.28

**Table 1**
Category	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	78	^(78-90)²⁄ ₇₈	1.846
Yellow Wrinkled (Y–rr)	30	15	^(15-30)²⁄ ₁₅	15.000
Green Round (yyR–)	30	51	^(51-30)²⁄ ₅₁	8.647
Green Wrinkled (yyrr)	10	16	^(16-10)²⁄ ₁₆	2.250
N = 160				χ² = 27.743

**Table 2**
Category	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	78	^(78-90)²⁄ ₉₀	1.600
Yellow Wrinkled (Y–rr)	30	15	^(15-30)²⁄ ₃₀	7.500
Green Round (yyR–)	30	51	^(51-30)²⁄ ₃₀	14.700
Green Wrinkled (yyrr)	10	16	^(16-10)²⁄ ₁₀	3.600
N = 160				χ² = 27.400

**Table 3**
Category	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	78	^(78-90)⁄ ₉₀	-0.133
Yellow Wrinkled (Y–rr)	30	15	^(15-30)⁄ ₃₀	-0.500
Green Round (yyR–)	30	51	^(51-30)⁄ ₃₀	0.700
Green Wrinkled (yyrr)	10	16	^(16-10)⁄ ₁₀	0.600
N = 160				χ² = 0.667

Before you ask your instructor for a new lab partner, tell them which table is correct AND whether they can reject or fail to reject the null hypothesis (H₀) using the information provided.

Table 1 with χ² = 27.743 is correct and we REJECT the null hypothesis (H₀) Incorrect Table 2 with χ² = 27.400 is correct and we REJECT the null hypothesis (H₀) Correct Table 3 with χ² = 0.667 is correct and we REJECT the null hypothesis (H₀) Incorrect Table 1 with χ² = 27.743 is correct and we FAIL to REJECT the null hypothesis (H₀) Incorrect Table 2 with χ² = 27.400 is correct and we FAIL to REJECT the null hypothesis (H₀) Incorrect Table 3 with χ² = 0.667 is correct and we FAIL to REJECT the null hypothesis (H₀) Incorrect MC

72ef_9ed5

The table below gives chi-square critical values for each probability in the right tail.

Degrees of freedom	0.95	0.90	0.75	0.50	0.25	0.10	0.05	0.01
1	0.00	0.02	0.10	0.45	1.32	2.71	3.84	6.63
2	0.10	0.21	0.58	1.39	2.77	4.61	5.99	9.21
3	0.35	0.58	1.21	2.37	4.11	6.25	7.81	11.34
4	0.71	1.06	1.92	3.36	5.39	7.78	9.49	13.28

**Table 1**
Category	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	81	^(81-90)²⁄ ₉₀	0.900
Yellow Wrinkled (Y–rr)	30	38	^(38-30)²⁄ ₃₀	2.133
Green Round (yyR–)	30	33	^(33-30)²⁄ ₃₀	0.300
Green Wrinkled (yyrr)	10	8	^(8-10)²⁄ ₁₀	0.400
N = 160				χ² = 3.733

**Table 2**
Category	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	81	^(81-90)⁄ ₉₀	-0.100
Yellow Wrinkled (Y–rr)	30	38	^(38-30)⁄ ₃₀	0.267
Green Round (yyR–)	30	33	^(33-30)⁄ ₃₀	0.100
Green Wrinkled (yyrr)	10	8	^(8-10)⁄ ₁₀	-0.200
N = 160				χ² = 0.067

**Table 3**
Category	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	81	^(81-90)²⁄ _81²	0.012
Yellow Wrinkled (Y–rr)	30	38	^(38-30)²⁄ _38²	0.044
Green Round (yyR–)	30	33	^(33-30)²⁄ _33²	0.008
Green Wrinkled (yyrr)	10	8	^(8-10)²⁄ _8²	0.062
N = 160				χ² = 0.127

Before you ask your instructor for a new lab partner, tell them which table is correct AND whether they can reject or fail to reject the null hypothesis (H₀) using the information provided.

Table 1 with χ² = 3.733 is correct and we REJECT the null hypothesis (H₀) Incorrect Table 2 with χ² = 0.067 is correct and we REJECT the null hypothesis (H₀) Incorrect Table 3 with χ² = 0.127 is correct and we REJECT the null hypothesis (H₀) Incorrect Table 1 with χ² = 3.733 is correct and we FAIL to REJECT the null hypothesis (H₀) Correct Table 2 with χ² = 0.067 is correct and we FAIL to REJECT the null hypothesis (H₀) Incorrect Table 3 with χ² = 0.127 is correct and we FAIL to REJECT the null hypothesis (H₀) Incorrect MC

f209_f4ae

The table below gives chi-square critical values for each probability in the right tail.

Degrees of freedom	0.95	0.90	0.75	0.50	0.25	0.10	0.05	0.01
1	0.00	0.02	0.10	0.45	1.32	2.71	3.84	6.63
2	0.10	0.21	0.58	1.39	2.77	4.61	5.99	9.21
3	0.35	0.58	1.21	2.37	4.11	6.25	7.81	11.34
4	0.71	1.06	1.92	3.36	5.39	7.78	9.49	13.28

**Table 1**
Category	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	95	^(95-90)⁄ ₉₀	0.056
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	8	^(8-10)⁄ ₁₀	-0.200
N = 160				χ² = -0.244

**Table 2**
Category	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	95	^(95-90)²⁄ ₉₀	0.278
Yellow Wrinkled (Y–rr)	30	28	^(28-30)²⁄ ₃₀	0.133
Green Round (yyR–)	30	29	^(29-30)²⁄ ₃₀	0.033
Green Wrinkled (yyrr)	10	8	^(8-10)²⁄ ₁₀	0.400
N = 160				χ² = 0.844

**Table 3**
Category	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	95	^(95-90)²⁄ _95²	0.003
Yellow Wrinkled (Y–rr)	30	28	^(28-30)²⁄ _28²	0.005
Green Round (yyR–)	30	29	^(29-30)²⁄ _29²	0.001
Green Wrinkled (yyrr)	10	8	^(8-10)²⁄ _8²	0.062
N = 160				χ² = 0.072

Before you ask your instructor for a new lab partner, tell them which table is correct AND whether they can reject or fail to reject the null hypothesis (H₀) using the information provided.

Table 1 with χ² = -0.244 is correct and we REJECT the null hypothesis (H₀) Incorrect Table 2 with χ² = 0.844 is correct and we REJECT the null hypothesis (H₀) Incorrect Table 3 with χ² = 0.072 is correct and we REJECT the null hypothesis (H₀) Incorrect Table 1 with χ² = -0.244 is correct and we FAIL to REJECT the null hypothesis (H₀) Incorrect Table 2 with χ² = 0.844 is correct and we FAIL to REJECT the null hypothesis (H₀) Correct Table 3 with χ² = 0.072 is correct and we FAIL to REJECT the null hypothesis (H₀) Incorrect MC

4cf9_a492

The table below gives chi-square critical values for each probability in the right tail.

Degrees of freedom	0.95	0.90	0.75	0.50	0.25	0.10	0.05	0.01
1	0.00	0.02	0.10	0.45	1.32	2.71	3.84	6.63
2	0.10	0.21	0.58	1.39	2.77	4.61	5.99	9.21
3	0.35	0.58	1.21	2.37	4.11	6.25	7.81	11.34
4	0.71	1.06	1.92	3.36	5.39	7.78	9.49	13.28

**Table 1**
Category	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	77	^(77-90)²⁄ ₉₀	1.878
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	19	^(19-10)²⁄ ₁₀	8.100
N = 160				χ² = 23.311

**Table 2**
Category	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	77	^(77-90)²⁄ _77²	0.029
Yellow Wrinkled (Y–rr)	30	18	^(18-30)²⁄ _18²	0.444
Green Round (yyR–)	30	46	^(46-30)²⁄ _46²	0.121
Green Wrinkled (yyrr)	10	19	^(19-10)²⁄ _19²	0.224
N = 160				χ² = 0.818

**Table 3**
Category	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	77	^(77-90)²⁄ ₇₇	2.195
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	19	^(19-10)²⁄ ₁₉	4.263
N = 160				χ² = 20.023

Before you ask your instructor for a new lab partner, tell them which table is correct AND whether they can reject or fail to reject the null hypothesis (H₀) using the information provided.

Table 1 with χ² = 23.311 is correct and we REJECT the null hypothesis (H₀) Correct Table 2 with χ² = 0.818 is correct and we REJECT the null hypothesis (H₀) Incorrect Table 3 with χ² = 20.023 is correct and we REJECT the null hypothesis (H₀) Incorrect Table 1 with χ² = 23.311 is correct and we FAIL to REJECT the null hypothesis (H₀) Incorrect Table 2 with χ² = 0.818 is correct and we FAIL to REJECT the null hypothesis (H₀) Incorrect Table 3 with χ² = 20.023 is correct and we FAIL to REJECT the null hypothesis (H₀) Incorrect MC

5076_16e6

The table below gives chi-square critical values for each probability in the right tail.

Degrees of freedom	0.95	0.90	0.75	0.50	0.25	0.10	0.05	0.01
1	0.00	0.02	0.10	0.45	1.32	2.71	3.84	6.63
2	0.10	0.21	0.58	1.39	2.77	4.61	5.99	9.21
3	0.35	0.58	1.21	2.37	4.11	6.25	7.81	11.34
4	0.71	1.06	1.92	3.36	5.39	7.78	9.49	13.28

**Table 1**
Category	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	73	^(73-90)²⁄ ₉₀	3.211
Yellow Wrinkled (Y–rr)	30	23	^(23-30)²⁄ ₃₀	1.633
Green Round (yyR–)	30	47	^(47-30)²⁄ ₃₀	9.633
Green Wrinkled (yyrr)	10	17	^(17-10)²⁄ ₁₀	4.900
N = 160				χ² = 19.378

**Table 2**
Category	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	73	^(73-90)²⁄ ₇₃	3.959
Yellow Wrinkled (Y–rr)	30	23	^(23-30)²⁄ ₂₃	2.130
Green Round (yyR–)	30	47	^(47-30)²⁄ ₄₇	6.149
Green Wrinkled (yyrr)	10	17	^(17-10)²⁄ ₁₇	2.882
N = 160				χ² = 15.121

**Table 3**
Category	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	73	^(73-90)²⁄ _73²	0.054
Yellow Wrinkled (Y–rr)	30	23	^(23-30)²⁄ _23²	0.093
Green Round (yyR–)	30	47	^(47-30)²⁄ _47²	0.131
Green Wrinkled (yyrr)	10	17	^(17-10)²⁄ _17²	0.170
N = 160				χ² = 0.447

Before you ask your instructor for a new lab partner, tell them which table is correct AND whether they can reject or fail to reject the null hypothesis (H₀) using the information provided.

Table 1 with χ² = 19.378 is correct and we REJECT the null hypothesis (H₀) Correct Table 2 with χ² = 15.121 is correct and we REJECT the null hypothesis (H₀) Incorrect Table 3 with χ² = 0.447 is correct and we REJECT the null hypothesis (H₀) Incorrect Table 1 with χ² = 19.378 is correct and we FAIL to REJECT the null hypothesis (H₀) Incorrect Table 2 with χ² = 15.121 is correct and we FAIL to REJECT the null hypothesis (H₀) Incorrect Table 3 with χ² = 0.447 is correct and we FAIL to REJECT the null hypothesis (H₀) Incorrect MC

23a5_c140

The table below gives chi-square critical values for each probability in the right tail.

Degrees of freedom	0.95	0.90	0.75	0.50	0.25	0.10	0.05	0.01
1	0.00	0.02	0.10	0.45	1.32	2.71	3.84	6.63
2	0.10	0.21	0.58	1.39	2.77	4.61	5.99	9.21
3	0.35	0.58	1.21	2.37	4.11	6.25	7.81	11.34
4	0.71	1.06	1.92	3.36	5.39	7.78	9.49	13.28

**Table 1**
Category	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	80	^(80-90)⁄ ₉₀	-0.111
Yellow Wrinkled (Y–rr)	30	33	^(33-30)⁄ ₃₀	0.100
Green Round (yyR–)	30	31	^(31-30)⁄ ₃₀	0.033
Green Wrinkled (yyrr)	10	16	^(16-10)⁄ ₁₀	0.600
N = 160				χ² = 0.622

**Table 2**
Category	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	80	^(80-90)²⁄ ₉₀	1.111
Yellow Wrinkled (Y–rr)	30	33	^(33-30)²⁄ ₃₀	0.300
Green Round (yyR–)	30	31	^(31-30)²⁄ ₃₀	0.033
Green Wrinkled (yyrr)	10	16	^(16-10)²⁄ ₁₀	3.600
N = 160				χ² = 5.044

**Table 3**
Category	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	80	^(80-90)²⁄ ₈₀	1.250
Yellow Wrinkled (Y–rr)	30	33	^(33-30)²⁄ ₃₃	0.273
Green Round (yyR–)	30	31	^(31-30)²⁄ ₃₁	0.032
Green Wrinkled (yyrr)	10	16	^(16-10)²⁄ ₁₆	2.250
N = 160				χ² = 3.805

Before you ask your instructor for a new lab partner, tell them which table is correct AND whether they can reject or fail to reject the null hypothesis (H₀) using the information provided.

Table 1 with χ² = 0.622 is correct and we REJECT the null hypothesis (H₀) Incorrect Table 2 with χ² = 5.044 is correct and we REJECT the null hypothesis (H₀) Incorrect Table 3 with χ² = 3.805 is correct and we REJECT the null hypothesis (H₀) Incorrect Table 1 with χ² = 0.622 is correct and we FAIL to REJECT the null hypothesis (H₀) Incorrect Table 2 with χ² = 5.044 is correct and we FAIL to REJECT the null hypothesis (H₀) Correct Table 3 with χ² = 3.805 is correct and we FAIL to REJECT the null hypothesis (H₀) Incorrect MC

ec06_489a

The table below gives chi-square critical values for each probability in the right tail.

Degrees of freedom	0.95	0.90	0.75	0.50	0.25	0.10	0.05	0.01
1	0.00	0.02	0.10	0.45	1.32	2.71	3.84	6.63
2	0.10	0.21	0.58	1.39	2.77	4.61	5.99	9.21
3	0.35	0.58	1.21	2.37	4.11	6.25	7.81	11.34
4	0.71	1.06	1.92	3.36	5.39	7.78	9.49	13.28

**Table 1**
Category	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	81	^(81-90)²⁄ _81²	0.012
Yellow Wrinkled (Y–rr)	30	22	^(22-30)²⁄ _22²	0.132
Green Round (yyR–)	30	38	^(38-30)²⁄ _38²	0.044
Green Wrinkled (yyrr)	10	19	^(19-10)²⁄ _19²	0.224
N = 160				χ² = 0.413

**Table 2**
Category	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	81	^(81-90)²⁄ ₉₀	0.900
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	19	^(19-10)²⁄ ₁₀	8.100
N = 160				χ² = 13.267

**Table 3**
Category	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	81	^(81-90)²⁄ ₈₁	1.000
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	19	^(19-10)²⁄ ₁₉	4.263
N = 160				χ² = 9.856

Before you ask your instructor for a new lab partner, tell them which table is correct AND whether they can reject or fail to reject the null hypothesis (H₀) using the information provided.

Table 1 with χ² = 0.413 is correct and we REJECT the null hypothesis (H₀) Incorrect Table 2 with χ² = 13.267 is correct and we REJECT the null hypothesis (H₀) Correct Table 3 with χ² = 9.856 is correct and we REJECT the null hypothesis (H₀) Incorrect Table 1 with χ² = 0.413 is correct and we FAIL to REJECT the null hypothesis (H₀) Incorrect Table 2 with χ² = 13.267 is correct and we FAIL to REJECT the null hypothesis (H₀) Incorrect Table 3 with χ² = 9.856 is correct and we FAIL to REJECT the null hypothesis (H₀) Incorrect MC

591a_7cf4

The table below gives chi-square critical values for each probability in the right tail.

Degrees of freedom	0.95	0.90	0.75	0.50	0.25	0.10	0.05	0.01
1	0.00	0.02	0.10	0.45	1.32	2.71	3.84	6.63
2	0.10	0.21	0.58	1.39	2.77	4.61	5.99	9.21
3	0.35	0.58	1.21	2.37	4.11	6.25	7.81	11.34
4	0.71	1.06	1.92	3.36	5.39	7.78	9.49	13.28

**Table 1**
Category	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
N = 160				χ² = 0.520

**Table 2**
Category	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
N = 160				χ² = 13.778

**Table 3**
Category	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
N = 160				χ² = 0.711

Before you ask your instructor for a new lab partner, tell them which table is correct AND whether they can reject or fail to reject the null hypothesis (H₀) using the information provided.

Table 1 with χ² = 0.520 is correct and we REJECT the null hypothesis (H₀) Incorrect Table 2 with χ² = 13.778 is correct and we REJECT the null hypothesis (H₀) Correct Table 3 with χ² = 0.711 is correct and we REJECT the null hypothesis (H₀) Incorrect Table 1 with χ² = 0.520 is correct and we FAIL to REJECT the null hypothesis (H₀) Incorrect Table 2 with χ² = 13.778 is correct and we FAIL to REJECT the null hypothesis (H₀) Incorrect Table 3 with χ² = 0.711 is correct and we FAIL to REJECT the null hypothesis (H₀) Incorrect MC

a2c8_be50

The table below gives chi-square critical values for each probability in the right tail.

Degrees of freedom	0.95	0.90	0.75	0.50	0.25	0.10	0.05	0.01
1	0.00	0.02	0.10	0.45	1.32	2.71	3.84	6.63
2	0.10	0.21	0.58	1.39	2.77	4.61	5.99	9.21
3	0.35	0.58	1.21	2.37	4.11	6.25	7.81	11.34
4	0.71	1.06	1.92	3.36	5.39	7.78	9.49	13.28

**Table 1**
Category	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	78	^(78-90)²⁄ _78²	0.024
Yellow Wrinkled (Y–rr)	30	15	^(15-30)²⁄ _15²	1.000
Green Round (yyR–)	30	48	^(48-30)²⁄ _48²	0.141
Green Wrinkled (yyrr)	10	19	^(19-10)²⁄ _19²	0.224
N = 160				χ² = 1.389

**Table 2**
Category	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	78	^(78-90)⁄ ₉₀	-0.133
Yellow Wrinkled (Y–rr)	30	15	^(15-30)⁄ ₃₀	-0.500
Green Round (yyR–)	30	48	^(48-30)⁄ ₃₀	0.600
Green Wrinkled (yyrr)	10	19	^(19-10)⁄ ₁₀	0.900
N = 160				χ² = 0.867

**Table 3**
Category	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	78	^(78-90)²⁄ ₉₀	1.600
Yellow Wrinkled (Y–rr)	30	15	^(15-30)²⁄ ₃₀	7.500
Green Round (yyR–)	30	48	^(48-30)²⁄ ₃₀	10.800
Green Wrinkled (yyrr)	10	19	^(19-10)²⁄ ₁₀	8.100
N = 160				χ² = 28.000

Before you ask your instructor for a new lab partner, tell them which table is correct AND whether they can reject or fail to reject the null hypothesis (H₀) using the information provided.

Table 1 with χ² = 1.389 is correct and we REJECT the null hypothesis (H₀) Incorrect Table 2 with χ² = 0.867 is correct and we REJECT the null hypothesis (H₀) Incorrect Table 3 with χ² = 28.000 is correct and we REJECT the null hypothesis (H₀) Correct Table 1 with χ² = 1.389 is correct and we FAIL to REJECT the null hypothesis (H₀) Incorrect Table 2 with χ² = 0.867 is correct and we FAIL to REJECT the null hypothesis (H₀) Incorrect Table 3 with χ² = 28.000 is correct and we FAIL to REJECT the null hypothesis (H₀) Incorrect MC

3d34_eeb8

The table below gives chi-square critical values for each probability in the right tail.

Degrees of freedom	0.95	0.90	0.75	0.50	0.25	0.10	0.05	0.01
1	0.00	0.02	0.10	0.45	1.32	2.71	3.84	6.63
2	0.10	0.21	0.58	1.39	2.77	4.61	5.99	9.21
3	0.35	0.58	1.21	2.37	4.11	6.25	7.81	11.34
4	0.71	1.06	1.92	3.36	5.39	7.78	9.49	13.28

**Table 1**
Category	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	83	^(83-90)²⁄ ₉₀	0.544
Yellow Wrinkled (Y–rr)	30	25	^(25-30)²⁄ ₃₀	0.833
Green Round (yyR–)	30	37	^(37-30)²⁄ ₃₀	1.633
Green Wrinkled (yyrr)	10	15	^(15-10)²⁄ ₁₀	2.500
N = 160				χ² = 5.511

**Table 2**
Category	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	83	^(83-90)²⁄ ₈₃	0.590
Yellow Wrinkled (Y–rr)	30	25	^(25-30)²⁄ ₂₅	1.000
Green Round (yyR–)	30	37	^(37-30)²⁄ ₃₇	1.324
Green Wrinkled (yyrr)	10	15	^(15-10)²⁄ ₁₅	1.667
N = 160				χ² = 4.581

**Table 3**
Category	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	83	^(83-90)²⁄ _83²	0.007
Yellow Wrinkled (Y–rr)	30	25	^(25-30)²⁄ _25²	0.040
Green Round (yyR–)	30	37	^(37-30)²⁄ _37²	0.036
Green Wrinkled (yyrr)	10	15	^(15-10)²⁄ _15²	0.111
N = 160				χ² = 0.194

Before you ask your instructor for a new lab partner, tell them which table is correct AND whether they can reject or fail to reject the null hypothesis (H₀) using the information provided.

Table 1 with χ² = 5.511 is correct and we REJECT the null hypothesis (H₀) Incorrect Table 2 with χ² = 4.581 is correct and we REJECT the null hypothesis (H₀) Incorrect Table 3 with χ² = 0.194 is correct and we REJECT the null hypothesis (H₀) Incorrect Table 1 with χ² = 5.511 is correct and we FAIL to REJECT the null hypothesis (H₀) Correct Table 2 with χ² = 4.581 is correct and we FAIL to REJECT the null hypothesis (H₀) Incorrect Table 3 with χ² = 0.194 is correct and we FAIL to REJECT the null hypothesis (H₀) Incorrect MC

2a44_b975

The table below gives chi-square critical values for each probability in the right tail.

Degrees of freedom	0.95	0.90	0.75	0.50	0.25	0.10	0.05	0.01
1	0.00	0.02	0.10	0.45	1.32	2.71	3.84	6.63
2	0.10	0.21	0.58	1.39	2.77	4.61	5.99	9.21
3	0.35	0.58	1.21	2.37	4.11	6.25	7.81	11.34
4	0.71	1.06	1.92	3.36	5.39	7.78	9.49	13.28

**Table 1**
Category	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	100	^(100-90)²⁄ ₉₀	1.111
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	4	^(4-10)²⁄ ₁₀	3.600
N = 160				χ² = 5.044

**Table 2**
Category	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	100	^(100-90)⁄ ₉₀	0.111
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	4	^(4-10)⁄ ₁₀	-0.600
N = 160				χ² = -0.622

**Table 3**
Category	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	100	^(100-90)²⁄ ₁₀₀	1.000
Yellow Wrinkled (Y–rr)	30	29	^(29-30)²⁄ ₂₉	0.034
Green Round (yyR–)	30	27	^(27-30)²⁄ ₂₇	0.333
Green Wrinkled (yyrr)	10	4	^(4-10)²⁄ ₄	9.000
N = 160				χ² = 10.368

Before you ask your instructor for a new lab partner, tell them which table is correct AND whether they can reject or fail to reject the null hypothesis (H₀) using the information provided.

Table 1 with χ² = 5.044 is correct and we REJECT the null hypothesis (H₀) Incorrect Table 2 with χ² = -0.622 is correct and we REJECT the null hypothesis (H₀) Incorrect Table 3 with χ² = 10.368 is correct and we REJECT the null hypothesis (H₀) Incorrect Table 1 with χ² = 5.044 is correct and we FAIL to REJECT the null hypothesis (H₀) Correct Table 2 with χ² = -0.622 is correct and we FAIL to REJECT the null hypothesis (H₀) Incorrect Table 3 with χ² = 10.368 is correct and we FAIL to REJECT the null hypothesis (H₀) Incorrect MC

173f_c225

The table below gives chi-square critical values for each probability in the right tail.

Degrees of freedom	0.95	0.90	0.75	0.50	0.25	0.10	0.05	0.01
1	0.00	0.02	0.10	0.45	1.32	2.71	3.84	6.63
2	0.10	0.21	0.58	1.39	2.77	4.61	5.99	9.21
3	0.35	0.58	1.21	2.37	4.11	6.25	7.81	11.34
4	0.71	1.06	1.92	3.36	5.39	7.78	9.49	13.28

**Table 1**
Category	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	78	^(78-90)²⁄ ₉₀	1.600
Yellow Wrinkled (Y–rr)	30	29	^(29-30)²⁄ ₃₀	0.033
Green Round (yyR–)	30	39	^(39-30)²⁄ ₃₀	2.700
Green Wrinkled (yyrr)	10	14	^(14-10)²⁄ ₁₀	1.600
N = 160				χ² = 5.933

**Table 2**
Category	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	78	^(78-90)⁄ ₉₀	-0.133
Yellow Wrinkled (Y–rr)	30	29	^(29-30)⁄ ₃₀	-0.033
Green Round (yyR–)	30	39	^(39-30)⁄ ₃₀	0.300
Green Wrinkled (yyrr)	10	14	^(14-10)⁄ ₁₀	0.400
N = 160				χ² = 0.533

**Table 3**
Category	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	78	^(78-90)²⁄ ₇₈	1.846
Yellow Wrinkled (Y–rr)	30	29	^(29-30)²⁄ ₂₉	0.034
Green Round (yyR–)	30	39	^(39-30)²⁄ ₃₉	2.077
Green Wrinkled (yyrr)	10	14	^(14-10)²⁄ ₁₄	1.143
N = 160				χ² = 5.100

Before you ask your instructor for a new lab partner, tell them which table is correct AND whether they can reject or fail to reject the null hypothesis (H₀) using the information provided.

Table 1 with χ² = 5.933 is correct and we REJECT the null hypothesis (H₀) Incorrect Table 2 with χ² = 0.533 is correct and we REJECT the null hypothesis (H₀) Incorrect Table 3 with χ² = 5.100 is correct and we REJECT the null hypothesis (H₀) Incorrect Table 1 with χ² = 5.933 is correct and we FAIL to REJECT the null hypothesis (H₀) Correct Table 2 with χ² = 0.533 is correct and we FAIL to REJECT the null hypothesis (H₀) Incorrect Table 3 with χ² = 5.100 is correct and we FAIL to REJECT the null hypothesis (H₀) Incorrect MC

8439_7ba9

The table below gives chi-square critical values for each probability in the right tail.

Degrees of freedom	0.95	0.90	0.75	0.50	0.25	0.10	0.05	0.01
1	0.00	0.02	0.10	0.45	1.32	2.71	3.84	6.63
2	0.10	0.21	0.58	1.39	2.77	4.61	5.99	9.21
3	0.35	0.58	1.21	2.37	4.11	6.25	7.81	11.34
4	0.71	1.06	1.92	3.36	5.39	7.78	9.49	13.28

**Table 1**
Category	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	94	^(94-90)²⁄ ₉₀	0.178
Yellow Wrinkled (Y–rr)	30	31	^(31-30)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
N = 160				χ² = 1.844

**Table 2**
Category	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	94	^(94-90)⁄ ₉₀	0.044
Yellow Wrinkled (Y–rr)	30	31	^(31-30)⁄ ₃₀	0.033
Green Round (yyR–)	30	29	^(29-30)⁄ ₃₀	-0.033
Green Wrinkled (yyrr)	10	6	^(6-10)⁄ ₁₀	-0.400
N = 160				χ² = -0.356

**Table 3**
Category	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	94	^(94-90)²⁄ ₉₄	0.170
Yellow Wrinkled (Y–rr)	30	31	^(31-30)²⁄ ₃₁	0.032
Green Round (yyR–)	30	29	^(29-30)²⁄ ₂₉	0.034
Green Wrinkled (yyrr)	10	6	^(6-10)²⁄ ₆	2.667
N = 160				χ² = 2.904

Before you ask your instructor for a new lab partner, tell them which table is correct AND whether they can reject or fail to reject the null hypothesis (H₀) using the information provided.

Table 1 with χ² = 1.844 is correct and we REJECT the null hypothesis (H₀) Incorrect Table 2 with χ² = -0.356 is correct and we REJECT the null hypothesis (H₀) Incorrect Table 3 with χ² = 2.904 is correct and we REJECT the null hypothesis (H₀) Incorrect Table 1 with χ² = 1.844 is correct and we FAIL to REJECT the null hypothesis (H₀) Correct Table 2 with χ² = -0.356 is correct and we FAIL to REJECT the null hypothesis (H₀) Incorrect Table 3 with χ² = 2.904 is correct and we FAIL to REJECT the null hypothesis (H₀) Incorrect MC

dd71_1fd6

The table below gives chi-square critical values for each probability in the right tail.

Degrees of freedom	0.95	0.90	0.75	0.50	0.25	0.10	0.05	0.01
1	0.00	0.02	0.10	0.45	1.32	2.71	3.84	6.63
2	0.10	0.21	0.58	1.39	2.77	4.61	5.99	9.21
3	0.35	0.58	1.21	2.37	4.11	6.25	7.81	11.34
4	0.71	1.06	1.92	3.36	5.39	7.78	9.49	13.28

**Table 1**
Category	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	86	^(86-90)⁄ ₉₀	-0.044
Yellow Wrinkled (Y–rr)	30	13	^(13-30)⁄ ₃₀	-0.567
Green Round (yyR–)	30	46	^(46-30)⁄ ₃₀	0.533
Green Wrinkled (yyrr)	10	15	^(15-10)⁄ ₁₀	0.500
N = 160				χ² = 0.422

**Table 2**
Category	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	86	^(86-90)²⁄ _86²	0.002
Yellow Wrinkled (Y–rr)	30	13	^(13-30)²⁄ _13²	1.710
Green Round (yyR–)	30	46	^(46-30)²⁄ _46²	0.121
Green Wrinkled (yyrr)	10	15	^(15-10)²⁄ _15²	0.111
N = 160				χ² = 1.944

**Table 3**
Category	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	86	^(86-90)²⁄ ₉₀	0.178
Yellow Wrinkled (Y–rr)	30	13	^(13-30)²⁄ ₃₀	9.633
Green Round (yyR–)	30	46	^(46-30)²⁄ ₃₀	8.533
Green Wrinkled (yyrr)	10	15	^(15-10)²⁄ ₁₀	2.500
N = 160				χ² = 20.844

Before you ask your instructor for a new lab partner, tell them which table is correct AND whether they can reject or fail to reject the null hypothesis (H₀) using the information provided.

Table 1 with χ² = 0.422 is correct and we REJECT the null hypothesis (H₀) Incorrect Table 2 with χ² = 1.944 is correct and we REJECT the null hypothesis (H₀) Incorrect Table 3 with χ² = 20.844 is correct and we REJECT the null hypothesis (H₀) Correct Table 1 with χ² = 0.422 is correct and we FAIL to REJECT the null hypothesis (H₀) Incorrect Table 2 with χ² = 1.944 is correct and we FAIL to REJECT the null hypothesis (H₀) Incorrect Table 3 with χ² = 20.844 is correct and we FAIL to REJECT the null hypothesis (H₀) Incorrect MC

a55b_46f1

The table below gives chi-square critical values for each probability in the right tail.

Degrees of freedom	0.95	0.90	0.75	0.50	0.25	0.10	0.05	0.01
1	0.00	0.02	0.10	0.45	1.32	2.71	3.84	6.63
2	0.10	0.21	0.58	1.39	2.77	4.61	5.99	9.21
3	0.35	0.58	1.21	2.37	4.11	6.25	7.81	11.34
4	0.71	1.06	1.92	3.36	5.39	7.78	9.49	13.28

**Table 1**
Category	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	94	^(94-90)²⁄ _94²	0.002
Yellow Wrinkled (Y–rr)	30	15	^(15-30)²⁄ _15²	1.000
Green Round (yyR–)	30	35	^(35-30)²⁄ _35²	0.020
Green Wrinkled (yyrr)	10	16	^(16-10)²⁄ _16²	0.141
N = 160				χ² = 1.163

**Table 2**
Category	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	94	^(94-90)²⁄ ₉₀	0.178
Yellow Wrinkled (Y–rr)	30	15	^(15-30)²⁄ ₃₀	7.500
Green Round (yyR–)	30	35	^(35-30)²⁄ ₃₀	0.833
Green Wrinkled (yyrr)	10	16	^(16-10)²⁄ ₁₀	3.600
N = 160				χ² = 12.111

**Table 3**
Category	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	94	^(94-90)²⁄ ₉₄	0.170
Yellow Wrinkled (Y–rr)	30	15	^(15-30)²⁄ ₁₅	15.000
Green Round (yyR–)	30	35	^(35-30)²⁄ ₃₅	0.714
Green Wrinkled (yyrr)	10	16	^(16-10)²⁄ ₁₆	2.250
N = 160				χ² = 18.134

Before you ask your instructor for a new lab partner, tell them which table is correct AND whether they can reject or fail to reject the null hypothesis (H₀) using the information provided.

Table 1 with χ² = 1.163 is correct and we REJECT the null hypothesis (H₀) Incorrect Table 2 with χ² = 12.111 is correct and we REJECT the null hypothesis (H₀) Correct Table 3 with χ² = 18.134 is correct and we REJECT the null hypothesis (H₀) Incorrect Table 1 with χ² = 1.163 is correct and we FAIL to REJECT the null hypothesis (H₀) Incorrect Table 2 with χ² = 12.111 is correct and we FAIL to REJECT the null hypothesis (H₀) Incorrect Table 3 with χ² = 18.134 is correct and we FAIL to REJECT the null hypothesis (H₀) Incorrect MC

4f48_63d7

The table below gives chi-square critical values for each probability in the right tail.

Degrees of freedom	0.95	0.90	0.75	0.50	0.25	0.10	0.05	0.01
1	0.00	0.02	0.10	0.45	1.32	2.71	3.84	6.63
2	0.10	0.21	0.58	1.39	2.77	4.61	5.99	9.21
3	0.35	0.58	1.21	2.37	4.11	6.25	7.81	11.34
4	0.71	1.06	1.92	3.36	5.39	7.78	9.49	13.28

**Table 1**
Category	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	95	^(95-90)²⁄ ₉₀	0.278
Yellow Wrinkled (Y–rr)	30	22	^(22-30)²⁄ ₃₀	2.133
Green Round (yyR–)	30	35	^(35-30)²⁄ ₃₀	0.833
Green Wrinkled (yyrr)	10	8	^(8-10)²⁄ ₁₀	0.400
N = 160				χ² = 3.644

**Table 2**
Category	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	95	^(95-90)²⁄ _95²	0.003
Yellow Wrinkled (Y–rr)	30	22	^(22-30)²⁄ _22²	0.132
Green Round (yyR–)	30	35	^(35-30)²⁄ _35²	0.020
Green Wrinkled (yyrr)	10	8	^(8-10)²⁄ _8²	0.062
N = 160				χ² = 0.218

**Table 3**
Category	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	95	^(95-90)²⁄ ₉₅	0.263
Yellow Wrinkled (Y–rr)	30	22	^(22-30)²⁄ ₂₂	2.909
Green Round (yyR–)	30	35	^(35-30)²⁄ ₃₅	0.714
Green Wrinkled (yyrr)	10	8	^(8-10)²⁄ ₈	0.500
N = 160				χ² = 4.387

Before you ask your instructor for a new lab partner, tell them which table is correct AND whether they can reject or fail to reject the null hypothesis (H₀) using the information provided.

Table 1 with χ² = 3.644 is correct and we REJECT the null hypothesis (H₀) Incorrect Table 2 with χ² = 0.218 is correct and we REJECT the null hypothesis (H₀) Incorrect Table 3 with χ² = 4.387 is correct and we REJECT the null hypothesis (H₀) Incorrect Table 1 with χ² = 3.644 is correct and we FAIL to REJECT the null hypothesis (H₀) Correct Table 2 with χ² = 0.218 is correct and we FAIL to REJECT the null hypothesis (H₀) Incorrect Table 3 with χ² = 4.387 is correct and we FAIL to REJECT the null hypothesis (H₀) Incorrect MC

2c3f_a7da

The table below gives chi-square critical values for each probability in the right tail.

Degrees of freedom	0.95	0.90	0.75	0.50	0.25	0.10	0.05	0.01
1	0.00	0.02	0.10	0.45	1.32	2.71	3.84	6.63
2	0.10	0.21	0.58	1.39	2.77	4.61	5.99	9.21
3	0.35	0.58	1.21	2.37	4.11	6.25	7.81	11.34
4	0.71	1.06	1.92	3.36	5.39	7.78	9.49	13.28

**Table 1**
Category	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	75	^(75-90)²⁄ _75²	0.040
Yellow Wrinkled (Y–rr)	30	17	^(17-30)²⁄ _17²	0.585
Green Round (yyR–)	30	49	^(49-30)²⁄ _49²	0.150
Green Wrinkled (yyrr)	10	19	^(19-10)²⁄ _19²	0.224
N = 160				χ² = 1.000

**Table 2**
Category	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	75	^(75-90)²⁄ ₇₅	3.000
Yellow Wrinkled (Y–rr)	30	17	^(17-30)²⁄ ₁₇	9.941
Green Round (yyR–)	30	49	^(49-30)²⁄ ₄₉	7.367
Green Wrinkled (yyrr)	10	19	^(19-10)²⁄ ₁₉	4.263
N = 160				χ² = 24.572

**Table 3**
Category	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	75	^(75-90)²⁄ ₉₀	2.500
Yellow Wrinkled (Y–rr)	30	17	^(17-30)²⁄ ₃₀	5.633
Green Round (yyR–)	30	49	^(49-30)²⁄ ₃₀	12.033
Green Wrinkled (yyrr)	10	19	^(19-10)²⁄ ₁₀	8.100
N = 160				χ² = 28.267

Before you ask your instructor for a new lab partner, tell them which table is correct AND whether they can reject or fail to reject the null hypothesis (H₀) using the information provided.

Table 1 with χ² = 1.000 is correct and we REJECT the null hypothesis (H₀) Incorrect Table 2 with χ² = 24.572 is correct and we REJECT the null hypothesis (H₀) Incorrect Table 3 with χ² = 28.267 is correct and we REJECT the null hypothesis (H₀) Correct Table 1 with χ² = 1.000 is correct and we FAIL to REJECT the null hypothesis (H₀) Incorrect Table 2 with χ² = 24.572 is correct and we FAIL to REJECT the null hypothesis (H₀) Incorrect Table 3 with χ² = 28.267 is correct and we FAIL to REJECT the null hypothesis (H₀) Incorrect MC

beb3_81e4

The table below gives chi-square critical values for each probability in the right tail.

Degrees of freedom	0.95	0.90	0.75	0.50	0.25	0.10	0.05	0.01
1	0.00	0.02	0.10	0.45	1.32	2.71	3.84	6.63
2	0.10	0.21	0.58	1.39	2.77	4.61	5.99	9.21
3	0.35	0.58	1.21	2.37	4.11	6.25	7.81	11.34
4	0.71	1.06	1.92	3.36	5.39	7.78	9.49	13.28

**Table 1**
Category	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	85	^(85-90)²⁄ ₉₀	0.278
Yellow Wrinkled (Y–rr)	30	17	^(17-30)²⁄ ₃₀	5.633
Green Round (yyR–)	30	43	^(43-30)²⁄ ₃₀	5.633
Green Wrinkled (yyrr)	10	15	^(15-10)²⁄ ₁₀	2.500
N = 160				χ² = 14.044

**Table 2**
Category	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	85	^(85-90)²⁄ ₈₅	0.294
Yellow Wrinkled (Y–rr)	30	17	^(17-30)²⁄ ₁₇	9.941
Green Round (yyR–)	30	43	^(43-30)²⁄ ₄₃	3.930
Green Wrinkled (yyrr)	10	15	^(15-10)²⁄ ₁₅	1.667
N = 160				χ² = 15.832

**Table 3**
Category	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	85	^(85-90)²⁄ _85²	0.003
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	15	^(15-10)²⁄ _15²	0.111
N = 160				χ² = 0.791

Before you ask your instructor for a new lab partner, tell them which table is correct AND whether they can reject or fail to reject the null hypothesis (H₀) using the information provided.

Table 1 with χ² = 14.044 is correct and we REJECT the null hypothesis (H₀) Correct Table 2 with χ² = 15.832 is correct and we REJECT the null hypothesis (H₀) Incorrect Table 3 with χ² = 0.791 is correct and we REJECT the null hypothesis (H₀) Incorrect Table 1 with χ² = 14.044 is correct and we FAIL to REJECT the null hypothesis (H₀) Incorrect Table 2 with χ² = 15.832 is correct and we FAIL to REJECT the null hypothesis (H₀) Incorrect Table 3 with χ² = 0.791 is correct and we FAIL to REJECT the null hypothesis (H₀) Incorrect MC

9a90_c8f2

The table below gives chi-square critical values for each probability in the right tail.

Degrees of freedom	0.95	0.90	0.75	0.50	0.25	0.10	0.05	0.01
1	0.00	0.02	0.10	0.45	1.32	2.71	3.84	6.63
2	0.10	0.21	0.58	1.39	2.77	4.61	5.99	9.21
3	0.35	0.58	1.21	2.37	4.11	6.25	7.81	11.34
4	0.71	1.06	1.92	3.36	5.39	7.78	9.49	13.28

**Table 1**
Category	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	101	^(101-90)²⁄ ₁₀₁	1.198
Yellow Wrinkled (Y–rr)	30	26	^(26-30)²⁄ ₂₆	0.615
Green Round (yyR–)	30	30	^(30-30)²⁄ ₃₀	0.000
Green Wrinkled (yyrr)	10	3	^(3-10)²⁄ ₃	16.333
N = 160				χ² = 18.147

**Table 2**
Category	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	101	^(101-90)⁄ ₉₀	0.122
Yellow Wrinkled (Y–rr)	30	26	^(26-30)⁄ ₃₀	-0.133
Green Round (yyR–)	30	30	^(30-30)⁄ ₃₀	0.000
Green Wrinkled (yyrr)	10	3	^(3-10)⁄ ₁₀	-0.700
N = 160				χ² = -0.711

**Table 3**
Category	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	101	^(101-90)²⁄ ₉₀	1.344
Yellow Wrinkled (Y–rr)	30	26	^(26-30)²⁄ ₃₀	0.533
Green Round (yyR–)	30	30	^(30-30)²⁄ ₃₀	0.000
Green Wrinkled (yyrr)	10	3	^(3-10)²⁄ ₁₀	4.900
N = 160				χ² = 6.778

Before you ask your instructor for a new lab partner, tell them which table is correct AND whether they can reject or fail to reject the null hypothesis (H₀) using the information provided.

Table 1 with χ² = 18.147 is correct and we REJECT the null hypothesis (H₀) Incorrect Table 2 with χ² = -0.711 is correct and we REJECT the null hypothesis (H₀) Incorrect Table 3 with χ² = 6.778 is correct and we REJECT the null hypothesis (H₀) Incorrect Table 1 with χ² = 18.147 is correct and we FAIL to REJECT the null hypothesis (H₀) Incorrect Table 2 with χ² = -0.711 is correct and we FAIL to REJECT the null hypothesis (H₀) Incorrect Table 3 with χ² = 6.778 is correct and we FAIL to REJECT the null hypothesis (H₀) Correct MC

0ba7_fca5

The table below gives chi-square critical values for each probability in the right tail.

Degrees of freedom	0.95	0.90	0.75	0.50	0.25	0.10	0.05	0.01
1	0.00	0.02	0.10	0.45	1.32	2.71	3.84	6.63
2	0.10	0.21	0.58	1.39	2.77	4.61	5.99	9.21
3	0.35	0.58	1.21	2.37	4.11	6.25	7.81	11.34
4	0.71	1.06	1.92	3.36	5.39	7.78	9.49	13.28

**Table 1**
Category	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	77	^(77-90)²⁄ ₉₀	1.878
Yellow Wrinkled (Y–rr)	30	22	^(22-30)²⁄ ₃₀	2.133
Green Round (yyR–)	30	42	^(42-30)²⁄ ₃₀	4.800
Green Wrinkled (yyrr)	10	19	^(19-10)²⁄ ₁₀	8.100
N = 160				χ² = 16.911

**Table 2**
Category	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	77	^(77-90)⁄ ₉₀	-0.144
Yellow Wrinkled (Y–rr)	30	22	^(22-30)⁄ ₃₀	-0.267
Green Round (yyR–)	30	42	^(42-30)⁄ ₃₀	0.400
Green Wrinkled (yyrr)	10	19	^(19-10)⁄ ₁₀	0.900
N = 160				χ² = 0.889

**Table 3**
Category	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	77	^(77-90)²⁄ _77²	0.029
Yellow Wrinkled (Y–rr)	30	22	^(22-30)²⁄ _22²	0.132
Green Round (yyR–)	30	42	^(42-30)²⁄ _42²	0.082
Green Wrinkled (yyrr)	10	19	^(19-10)²⁄ _19²	0.224
N = 160				χ² = 0.467

Before you ask your instructor for a new lab partner, tell them which table is correct AND whether they can reject or fail to reject the null hypothesis (H₀) using the information provided.

Table 1 with χ² = 16.911 is correct and we REJECT the null hypothesis (H₀) Correct Table 2 with χ² = 0.889 is correct and we REJECT the null hypothesis (H₀) Incorrect Table 3 with χ² = 0.467 is correct and we REJECT the null hypothesis (H₀) Incorrect Table 1 with χ² = 16.911 is correct and we FAIL to REJECT the null hypothesis (H₀) Incorrect Table 2 with χ² = 0.889 is correct and we FAIL to REJECT the null hypothesis (H₀) Incorrect Table 3 with χ² = 0.467 is correct and we FAIL to REJECT the null hypothesis (H₀) Incorrect MC

baf8_ce98

The table below gives chi-square critical values for each probability in the right tail.

Degrees of freedom	0.95	0.90	0.75	0.50	0.25	0.10	0.05	0.01
1	0.00	0.02	0.10	0.45	1.32	2.71	3.84	6.63
2	0.10	0.21	0.58	1.39	2.77	4.61	5.99	9.21
3	0.35	0.58	1.21	2.37	4.11	6.25	7.81	11.34
4	0.71	1.06	1.92	3.36	5.39	7.78	9.49	13.28

**Table 1**
Category	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	80	^(80-90)⁄ ₉₀	-0.111
Yellow Wrinkled (Y–rr)	30	33	^(33-30)⁄ ₃₀	0.100
Green Round (yyR–)	30	34	^(34-30)⁄ ₃₀	0.133
Green Wrinkled (yyrr)	10	13	^(13-10)⁄ ₁₀	0.300
N = 160				χ² = 0.422

**Table 2**
Category	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	80	^(80-90)²⁄ ₉₀	1.111
Yellow Wrinkled (Y–rr)	30	33	^(33-30)²⁄ ₃₀	0.300
Green Round (yyR–)	30	34	^(34-30)²⁄ ₃₀	0.533
Green Wrinkled (yyrr)	10	13	^(13-10)²⁄ ₁₀	0.900
N = 160				χ² = 2.844

**Table 3**
Category	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	80	^(80-90)²⁄ _80²	0.016
Yellow Wrinkled (Y–rr)	30	33	^(33-30)²⁄ _33²	0.008
Green Round (yyR–)	30	34	^(34-30)²⁄ _34²	0.014
Green Wrinkled (yyrr)	10	13	^(13-10)²⁄ _13²	0.053
N = 160				χ² = 0.091

Before you ask your instructor for a new lab partner, tell them which table is correct AND whether they can reject or fail to reject the null hypothesis (H₀) using the information provided.

Table 1 with χ² = 0.422 is correct and we REJECT the null hypothesis (H₀) Incorrect Table 2 with χ² = 2.844 is correct and we REJECT the null hypothesis (H₀) Incorrect Table 3 with χ² = 0.091 is correct and we REJECT the null hypothesis (H₀) Incorrect Table 1 with χ² = 0.422 is correct and we FAIL to REJECT the null hypothesis (H₀) Incorrect Table 2 with χ² = 2.844 is correct and we FAIL to REJECT the null hypothesis (H₀) Correct Table 3 with χ² = 0.091 is correct and we FAIL to REJECT the null hypothesis (H₀) Incorrect MC

243c_45a7

The table below gives chi-square critical values for each probability in the right tail.

Degrees of freedom	0.95	0.90	0.75	0.50	0.25	0.10	0.05	0.01
1	0.00	0.02	0.10	0.45	1.32	2.71	3.84	6.63
2	0.10	0.21	0.58	1.39	2.77	4.61	5.99	9.21
3	0.35	0.58	1.21	2.37	4.11	6.25	7.81	11.34
4	0.71	1.06	1.92	3.36	5.39	7.78	9.49	13.28

**Table 1**
Category	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	86	^(86-90)²⁄ ₈₆	0.186
Yellow Wrinkled (Y–rr)	30	19	^(19-30)²⁄ ₁₉	6.368
Green Round (yyR–)	30	36	^(36-30)²⁄ ₃₆	1.000
Green Wrinkled (yyrr)	10	19	^(19-10)²⁄ ₁₉	4.263
N = 160				χ² = 11.818

**Table 2**
Category	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	86	^(86-90)⁄ ₉₀	-0.044
Yellow Wrinkled (Y–rr)	30	19	^(19-30)⁄ ₃₀	-0.367
Green Round (yyR–)	30	36	^(36-30)⁄ ₃₀	0.200
Green Wrinkled (yyrr)	10	19	^(19-10)⁄ ₁₀	0.900
N = 160				χ² = 0.689

**Table 3**
Category	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	86	^(86-90)²⁄ ₉₀	0.178
Yellow Wrinkled (Y–rr)	30	19	^(19-30)²⁄ ₃₀	4.033
Green Round (yyR–)	30	36	^(36-30)²⁄ ₃₀	1.200
Green Wrinkled (yyrr)	10	19	^(19-10)²⁄ ₁₀	8.100
N = 160				χ² = 13.511

Before you ask your instructor for a new lab partner, tell them which table is correct AND whether they can reject or fail to reject the null hypothesis (H₀) using the information provided.

Table 1 with χ² = 11.818 is correct and we REJECT the null hypothesis (H₀) Incorrect Table 2 with χ² = 0.689 is correct and we REJECT the null hypothesis (H₀) Incorrect Table 3 with χ² = 13.511 is correct and we REJECT the null hypothesis (H₀) Correct Table 1 with χ² = 11.818 is correct and we FAIL to REJECT the null hypothesis (H₀) Incorrect Table 2 with χ² = 0.689 is correct and we FAIL to REJECT the null hypothesis (H₀) Incorrect Table 3 with χ² = 13.511 is correct and we FAIL to REJECT the null hypothesis (H₀) Incorrect MC

5f23_50ee

The table below gives chi-square critical values for each probability in the right tail.

Degrees of freedom	0.95	0.90	0.75	0.50	0.25	0.10	0.05	0.01
1	0.00	0.02	0.10	0.45	1.32	2.71	3.84	6.63
2	0.10	0.21	0.58	1.39	2.77	4.61	5.99	9.21
3	0.35	0.58	1.21	2.37	4.11	6.25	7.81	11.34
4	0.71	1.06	1.92	3.36	5.39	7.78	9.49	13.28

**Table 1**
Category	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	84	^(84-90)²⁄ ₈₄	0.429
Yellow Wrinkled (Y–rr)	30	19	^(19-30)²⁄ ₁₉	6.368
Green Round (yyR–)	30	42	^(42-30)²⁄ ₄₂	3.429
Green Wrinkled (yyrr)	10	15	^(15-10)²⁄ ₁₅	1.667
N = 160				χ² = 11.892

**Table 2**
Category	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	84	^(84-90)²⁄ _84²	0.005
Yellow Wrinkled (Y–rr)	30	19	^(19-30)²⁄ _19²	0.335
Green Round (yyR–)	30	42	^(42-30)²⁄ _42²	0.082
Green Wrinkled (yyrr)	10	15	^(15-10)²⁄ _15²	0.111
N = 160				χ² = 0.533

**Table 3**
Category	Expected	Observed	Calculation	Statistic
Yellow Round (Y–R–)	90	84	^(84-90)²⁄ ₉₀	0.400
Yellow Wrinkled (Y–rr)	30	19	^(19-30)²⁄ ₃₀	4.033
Green Round (yyR–)	30	42	^(42-30)²⁄ ₃₀	4.800
Green Wrinkled (yyrr)	10	15	^(15-10)²⁄ ₁₀	2.500
N = 160				χ² = 11.733

Before you ask your instructor for a new lab partner, tell them which table is correct AND whether they can reject or fail to reject the null hypothesis (H₀) using the information provided.

Table 1 with χ² = 11.892 is correct and we REJECT the null hypothesis (H₀) Incorrect Table 2 with χ² = 0.533 is correct and we REJECT the null hypothesis (H₀) Incorrect Table 3 with χ² = 11.733 is correct and we REJECT the null hypothesis (H₀) Correct Table 1 with χ² = 11.892 is correct and we FAIL to REJECT the null hypothesis (H₀) Incorrect Table 2 with χ² = 0.533 is correct and we FAIL to REJECT the null hypothesis (H₀) Incorrect Table 3 with χ² = 11.733 is correct and we FAIL to REJECT the null hypothesis (H₀) Incorrect