MC

57c4_74b2

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

Degrees of freedom0.950.900.750.500.250.100.050.01
10.000.020.100.451.322.713.846.63
20.100.210.581.392.774.615.999.21
30.350.581.212.374.116.257.8111.34
40.711.061.923.365.397.789.4913.28

CategoryExpectedObservedCalculationStatistic
Yellow Round (Y–R–)9099(99-90)²⁄ 900.900
Yellow Wrinkled (Y–rr)3020(20-30)²⁄ 303.333
Green Round (yyR–)3034(34-30)²⁄ 300.533
Green Wrinkled (yyrr)107(7-10)²⁄ 100.900
N = 160χ2 = 5.667

The final result gives the chi-square statistic (χ2) of 5.67 with 3 degrees of freedom. Consulting the Table of χ² Critical Values and a level of significance (α)=0.05, we obtain a critical value of 7.81.

Since the chi-square statistic (χ2) of 5.67 is less than the critical value of 7.81, the null hypothesis (H0) has BEEN REJECTED.

Your lab partner completed a chi-square (χ2) test on your lab data (above) for the F2 generation in a standard dihybrid cross. The goal was to verify if the observed results matched the expected phenotype ratios.

However, it appears they made an error. What did they do wrong?

The wrong numbers in the calculation were used for division, you need to divide by a different number. Incorrect The wrong rejection criteria was used. the level of significance (α) is wrong. Correct The expected progeny for the null hypothesis (H0) is incorrect. They did the calculation wrong. Incorrect The degrees of freedom is wrong, it should be a different value. Incorrect The numbers in the calculation have to be squared and they are not squared. Incorrect MC

ae39_840f

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

Degrees of freedom0.950.900.750.500.250.100.050.01
10.000.020.100.451.322.713.846.63
20.100.210.581.392.774.615.999.21
30.350.581.212.374.116.257.8111.34
40.711.061.923.365.397.789.4913.28

CategoryExpectedObservedCalculationStatistic
Yellow Round (Y–R–)9094(94-90)²⁄ 900.178
Yellow Wrinkled (Y–rr)3019(19-30)²⁄ 304.033
Green Round (yyR–)3040(40-30)²⁄ 303.333
Green Wrinkled (yyrr)107(7-10)²⁄ 100.900
N = 160χ2 = 8.444

The final result gives the chi-square statistic (χ2) of 8.44 with 3 degrees of freedom. Consulting the Table of χ² Critical Values and a level of significance (α)=0.05, we obtain a critical value of 7.81.

Since the chi-square statistic (χ2) of 8.44 is greater than the critical value of 7.81, the null hypothesis (H0) has FAILED TO BE REJECTED.

Your lab partner completed a chi-square (χ2) test on your lab data (above) for the F2 generation in a standard dihybrid cross. The goal was to verify if the observed results matched the expected phenotype ratios.

However, it appears they made an error. What did they do wrong?

The wrong rejection criteria was used. the level of significance (α) is wrong. Correct The expected progeny for the null hypothesis (H0) is incorrect. They did the calculation wrong. Incorrect The wrong numbers in the calculation were used for division, you need to divide by a different number. Incorrect The degrees of freedom is wrong, it should be a different value. Incorrect The numbers in the calculation have to be squared and they are not squared. Incorrect MC

bfc9_4945

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

Degrees of freedom0.950.900.750.500.250.100.050.01
10.000.020.100.451.322.713.846.63
20.100.210.581.392.774.615.999.21
30.350.581.212.374.116.257.8111.34
40.711.061.923.365.397.789.4913.28

CategoryExpectedObservedCalculationStatistic
Yellow Round (Y–R–)9094(94-90)²⁄ 940.170
Yellow Wrinkled (Y–rr)3018(18-30)²⁄ 188.000
Green Round (yyR–)3036(36-30)²⁄ 361.000
Green Wrinkled (yyrr)1012(12-10)²⁄ 120.333
N = 160χ2 = 9.504

The final result gives the chi-square statistic (χ2) of 9.50 with 3 degrees of freedom. Consulting the Table of χ² Critical Values and a level of significance (α)=0.05, we obtain a critical value of 7.81.

Since the chi-square statistic (χ2) of 9.50 is greater than the critical value of 7.81, the null hypothesis (H0) has BEEN REJECTED.

Your lab partner completed a chi-square (χ2) test on your lab data (above) for the F2 generation in a standard dihybrid cross. The goal was to verify if the observed results matched the expected phenotype ratios.

However, it appears they made an error. What did they do wrong?

The degrees of freedom is wrong, it should be a different value. Incorrect The wrong rejection criteria was used. the level of significance (α) is wrong. Incorrect The expected progeny for the null hypothesis (H0) is incorrect. They did the calculation wrong. Incorrect The wrong numbers in the calculation were used for division, you need to divide by a different number. Correct The numbers in the calculation have to be squared and they are not squared. Incorrect MC

08e1_2488

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

Degrees of freedom0.950.900.750.500.250.100.050.01
10.000.020.100.451.322.713.846.63
20.100.210.581.392.774.615.999.21
30.350.581.212.374.116.257.8111.34
40.711.061.923.365.397.789.4913.28

CategoryExpectedObservedCalculationStatistic
Yellow Round (Y–R–)9093(93-90)²⁄ 900.100
Yellow Wrinkled (Y–rr)3022(22-30)²⁄ 302.133
Green Round (yyR–)3038(38-30)²⁄ 302.133
Green Wrinkled (yyrr)107(7-10)²⁄ 100.900
N = 160χ2 = 5.267

The final result gives the chi-square statistic (χ2) of 5.27 with 3 degrees of freedom. Consulting the Table of χ² Critical Values and a level of significance (α)=0.50, we obtain a critical value of 2.37.

Since the chi-square statistic (χ2) of 5.27 is greater than the critical value of 2.37, the null hypothesis (H0) has BEEN REJECTED.

Your lab partner completed a chi-square (χ2) test on your lab data (above) for the F2 generation in a standard dihybrid cross. The goal was to verify if the observed results matched the expected phenotype ratios.

However, it appears they made an error. What did they do wrong?

The degrees of freedom is wrong, it should be a different value. Incorrect The expected progeny for the null hypothesis (H0) is incorrect. They did the calculation wrong. Incorrect The wrong rejection criteria was used. the level of significance (α) is wrong. Correct The wrong numbers in the calculation were used for division, you need to divide by a different number. Incorrect The numbers in the calculation have to be squared and they are not squared. Incorrect MC

10c2_a97d

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

Degrees of freedom0.950.900.750.500.250.100.050.01
10.000.020.100.451.322.713.846.63
20.100.210.581.392.774.615.999.21
30.350.581.212.374.116.257.8111.34
40.711.061.923.365.397.789.4913.28

CategoryExpectedObservedCalculationStatistic
Yellow Round (Y–R–)90100(100-90)²⁄ 100²0.010
Yellow Wrinkled (Y–rr)3022(22-30)²⁄ 22²0.132
Green Round (yyR–)3030(30-30)²⁄ 30²0.000
Green Wrinkled (yyrr)108(8-10)²⁄ 8²0.062
N = 160χ2 = 0.205

The final result gives the chi-square statistic (χ2) of 0.20 with 3 degrees of freedom. Consulting the Table of χ² Critical Values and a level of significance (α)=0.05, we obtain a critical value of 7.81.

Since the chi-square statistic (χ2) of 0.20 is less than the critical value of 7.81, the null hypothesis (H0) has FAILED TO BE REJECTED.

Your lab partner completed a chi-square (χ2) test on your lab data (above) for the F2 generation in a standard dihybrid cross. The goal was to verify if the observed results matched the expected phenotype ratios.

However, it appears they made an error. What did they do wrong?

The wrong rejection criteria was used. the level of significance (α) is wrong. Incorrect The expected progeny for the null hypothesis (H0) is incorrect. They did the calculation wrong. Incorrect The numbers in the calculation have to be squared and they are not squared. Incorrect The wrong numbers in the calculation were used for division, you need to divide by a different number. Correct The degrees of freedom is wrong, it should be a different value. Incorrect MC

0aaa_c0af

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

Degrees of freedom0.950.900.750.500.250.100.050.01
10.000.020.100.451.322.713.846.63
20.100.210.581.392.774.615.999.21
30.350.581.212.374.116.257.8111.34
40.711.061.923.365.397.789.4913.28

CategoryExpectedObservedCalculationStatistic
Yellow Round (Y–R–)9085(85-90)²⁄ 900.278
Yellow Wrinkled (Y–rr)3026(26-30)²⁄ 300.533
Green Round (yyR–)3046(46-30)²⁄ 308.533
Green Wrinkled (yyrr)103(3-10)²⁄ 104.900
N = 160χ2 = 14.244

The final result gives the chi-square statistic (χ2) of 14.24 with 2 degrees of freedom. Consulting the Table of χ² Critical Values and a level of significance (α)=0.05, we obtain a critical value of 5.99.

Since the chi-square statistic (χ2) of 14.24 is greater than the critical value of 5.99, the null hypothesis (H0) has BEEN REJECTED.

Your lab partner completed a chi-square (χ2) test on your lab data (above) for the F2 generation in a standard dihybrid cross. The goal was to verify if the observed results matched the expected phenotype ratios.

However, it appears they made an error. What did they do wrong?

The wrong rejection criteria was used. the level of significance (α) is wrong. Incorrect The degrees of freedom is wrong, it should be a different value. Correct The numbers in the calculation have to be squared and they are not squared. Incorrect The wrong numbers in the calculation were used for division, you need to divide by a different number. Incorrect The expected progeny for the null hypothesis (H0) is incorrect. They did the calculation wrong. Incorrect MC

241c_08d3

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

Degrees of freedom0.950.900.750.500.250.100.050.01
10.000.020.100.451.322.713.846.63
20.100.210.581.392.774.615.999.21
30.350.581.212.374.116.257.8111.34
40.711.061.923.365.397.789.4913.28

CategoryExpectedObservedCalculationStatistic
Yellow Round (Y–R–)4064(64-40)²⁄ 4014.400
Yellow Wrinkled (Y–rr)4049(49-40)²⁄ 402.025
Green Round (yyR–)4026(26-40)²⁄ 404.900
Green Wrinkled (yyrr)4021(21-40)²⁄ 409.025
N = 160χ2 = 30.350

The final result gives the chi-square statistic (χ2) of 30.35 with 3 degrees of freedom. Consulting the Table of χ² Critical Values and a level of significance (α)=0.05, we obtain a critical value of 7.81.

Since the chi-square statistic (χ2) of 30.35 is greater than the critical value of 7.81, the null hypothesis (H0) has BEEN REJECTED.

Your lab partner completed a chi-square (χ2) test on your lab data (above) for the F2 generation in a standard dihybrid cross. The goal was to verify if the observed results matched the expected phenotype ratios.

However, it appears they made an error. What did they do wrong?

The expected progeny for the null hypothesis (H0) is incorrect. They did the calculation wrong. Correct The degrees of freedom is wrong, it should be a different value. Incorrect The wrong rejection criteria was used. the level of significance (α) is wrong. Incorrect The wrong numbers in the calculation were used for division, you need to divide by a different number. Incorrect The numbers in the calculation have to be squared and they are not squared. Incorrect MC

1695_8d3a

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

Degrees of freedom0.950.900.750.500.250.100.050.01
10.000.020.100.451.322.713.846.63
20.100.210.581.392.774.615.999.21
30.350.581.212.374.116.257.8111.34
40.711.061.923.365.397.789.4913.28

CategoryExpectedObservedCalculationStatistic
Yellow Round (Y–R–)9094(94-90)²⁄ 940.170
Yellow Wrinkled (Y–rr)3021(21-30)²⁄ 213.857
Green Round (yyR–)3037(37-30)²⁄ 371.324
Green Wrinkled (yyrr)108(8-10)²⁄ 80.500
N = 160χ2 = 5.852

The final result gives the chi-square statistic (χ2) of 5.85 with 3 degrees of freedom. Consulting the Table of χ² Critical Values and a level of significance (α)=0.05, we obtain a critical value of 7.81.

Since the chi-square statistic (χ2) of 5.85 is less than the critical value of 7.81, the null hypothesis (H0) has FAILED TO BE REJECTED.

Your lab partner completed a chi-square (χ2) test on your lab data (above) for the F2 generation in a standard dihybrid cross. The goal was to verify if the observed results matched the expected phenotype ratios.

However, it appears they made an error. What did they do wrong?

The expected progeny for the null hypothesis (H0) is incorrect. They did the calculation wrong. Incorrect The wrong rejection criteria was used. the level of significance (α) is wrong. Incorrect The numbers in the calculation have to be squared and they are not squared. Incorrect The wrong numbers in the calculation were used for division, you need to divide by a different number. Correct The degrees of freedom is wrong, it should be a different value. Incorrect MC

cd0c_ede1

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

Degrees of freedom0.950.900.750.500.250.100.050.01
10.000.020.100.451.322.713.846.63
20.100.210.581.392.774.615.999.21
30.350.581.212.374.116.257.8111.34
40.711.061.923.365.397.789.4913.28

CategoryExpectedObservedCalculationStatistic
Yellow Round (Y–R–)9095(95-90)²⁄ 95²0.003
Yellow Wrinkled (Y–rr)3024(24-30)²⁄ 24²0.062
Green Round (yyR–)3037(37-30)²⁄ 37²0.036
Green Wrinkled (yyrr)104(4-10)²⁄ 4²2.250
N = 160χ2 = 2.351

The final result gives the chi-square statistic (χ2) of 2.35 with 3 degrees of freedom. Consulting the Table of χ² Critical Values and a level of significance (α)=0.05, we obtain a critical value of 7.81.

Since the chi-square statistic (χ2) of 2.35 is less than the critical value of 7.81, the null hypothesis (H0) has FAILED TO BE REJECTED.

Your lab partner completed a chi-square (χ2) test on your lab data (above) for the F2 generation in a standard dihybrid cross. The goal was to verify if the observed results matched the expected phenotype ratios.

However, it appears they made an error. What did they do wrong?

The numbers in the calculation have to be squared and they are not squared. Incorrect The degrees of freedom is wrong, it should be a different value. Incorrect The wrong numbers in the calculation were used for division, you need to divide by a different number. Correct The expected progeny for the null hypothesis (H0) is incorrect. They did the calculation wrong. Incorrect The wrong rejection criteria was used. the level of significance (α) is wrong. Incorrect MC

be34_8d3a

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

Degrees of freedom0.950.900.750.500.250.100.050.01
10.000.020.100.451.322.713.846.63
20.100.210.581.392.774.615.999.21
30.350.581.212.374.116.257.8111.34
40.711.061.923.365.397.789.4913.28

CategoryExpectedObservedCalculationStatistic
Yellow Round (Y–R–)9093(93-90)²⁄ 930.097
Yellow Wrinkled (Y–rr)3023(23-30)²⁄ 232.130
Green Round (yyR–)3036(36-30)²⁄ 361.000
Green Wrinkled (yyrr)108(8-10)²⁄ 80.500
N = 160χ2 = 3.727

The final result gives the chi-square statistic (χ2) of 3.73 with 3 degrees of freedom. Consulting the Table of χ² Critical Values and a level of significance (α)=0.05, we obtain a critical value of 7.81.

Since the chi-square statistic (χ2) of 3.73 is less than the critical value of 7.81, the null hypothesis (H0) has FAILED TO BE REJECTED.

Your lab partner completed a chi-square (χ2) test on your lab data (above) for the F2 generation in a standard dihybrid cross. The goal was to verify if the observed results matched the expected phenotype ratios.

However, it appears they made an error. What did they do wrong?

The expected progeny for the null hypothesis (H0) is incorrect. They did the calculation wrong. Incorrect The wrong rejection criteria was used. the level of significance (α) is wrong. Incorrect The numbers in the calculation have to be squared and they are not squared. Incorrect The wrong numbers in the calculation were used for division, you need to divide by a different number. Correct The degrees of freedom is wrong, it should be a different value. Incorrect MC

c907_b670

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

Degrees of freedom0.950.900.750.500.250.100.050.01
10.000.020.100.451.322.713.846.63
20.100.210.581.392.774.615.999.21
30.350.581.212.374.116.257.8111.34
40.711.061.923.365.397.789.4913.28

CategoryExpectedObservedCalculationStatistic
Yellow Round (Y–R–)9080(80-90)²⁄ 801.250
Yellow Wrinkled (Y–rr)3030(30-30)²⁄ 300.000
Green Round (yyR–)3036(36-30)²⁄ 361.000
Green Wrinkled (yyrr)1014(14-10)²⁄ 141.143
N = 160χ2 = 3.393

The final result gives the chi-square statistic (χ2) of 3.39 with 3 degrees of freedom. Consulting the Table of χ² Critical Values and a level of significance (α)=0.05, we obtain a critical value of 7.81.

Since the chi-square statistic (χ2) of 3.39 is less than the critical value of 7.81, the null hypothesis (H0) has FAILED TO BE REJECTED.

Your lab partner completed a chi-square (χ2) test on your lab data (above) for the F2 generation in a standard dihybrid cross. The goal was to verify if the observed results matched the expected phenotype ratios.

However, it appears they made an error. What did they do wrong?

The degrees of freedom is wrong, it should be a different value. Incorrect The wrong numbers in the calculation were used for division, you need to divide by a different number. Correct The wrong rejection criteria was used. the level of significance (α) is wrong. Incorrect The numbers in the calculation have to be squared and they are not squared. Incorrect The expected progeny for the null hypothesis (H0) is incorrect. They did the calculation wrong. Incorrect MC

b3e5_db2b

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

Degrees of freedom0.950.900.750.500.250.100.050.01
10.000.020.100.451.322.713.846.63
20.100.210.581.392.774.615.999.21
30.350.581.212.374.116.257.8111.34
40.711.061.923.365.397.789.4913.28

CategoryExpectedObservedCalculationStatistic
Yellow Round (Y–R–)9099(99-90)²⁄ 99²0.008
Yellow Wrinkled (Y–rr)3020(20-30)²⁄ 20²0.250
Green Round (yyR–)3033(33-30)²⁄ 33²0.008
Green Wrinkled (yyrr)108(8-10)²⁄ 8²0.062
N = 160χ2 = 0.329

The final result gives the chi-square statistic (χ2) of 0.33 with 3 degrees of freedom. Consulting the Table of χ² Critical Values and a level of significance (α)=0.05, we obtain a critical value of 7.81.

Since the chi-square statistic (χ2) of 0.33 is less than the critical value of 7.81, the null hypothesis (H0) has FAILED TO BE REJECTED.

Your lab partner completed a chi-square (χ2) test on your lab data (above) for the F2 generation in a standard dihybrid cross. The goal was to verify if the observed results matched the expected phenotype ratios.

However, it appears they made an error. What did they do wrong?

The numbers in the calculation have to be squared and they are not squared. Incorrect The expected progeny for the null hypothesis (H0) is incorrect. They did the calculation wrong. Incorrect The wrong numbers in the calculation were used for division, you need to divide by a different number. Correct The degrees of freedom is wrong, it should be a different value. Incorrect The wrong rejection criteria was used. the level of significance (α) is wrong. Incorrect MC

cd9c_474b

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

Degrees of freedom0.950.900.750.500.250.100.050.01
10.000.020.100.451.322.713.846.63
20.100.210.581.392.774.615.999.21
30.350.581.212.374.116.257.8111.34
40.711.061.923.365.397.789.4913.28

CategoryExpectedObservedCalculationStatistic
Yellow Round (Y–R–)90103(103-90)²⁄ 901.878
Yellow Wrinkled (Y–rr)3021(21-30)²⁄ 302.700
Green Round (yyR–)3029(29-30)²⁄ 300.033
Green Wrinkled (yyrr)107(7-10)²⁄ 100.900
N = 160χ2 = 5.511

The final result gives the chi-square statistic (χ2) of 5.51 with 2 degrees of freedom. Consulting the Table of χ² Critical Values and a level of significance (α)=0.05, we obtain a critical value of 5.99.

Since the chi-square statistic (χ2) of 5.51 is less than the critical value of 5.99, the null hypothesis (H0) has FAILED TO BE REJECTED.

Your lab partner completed a chi-square (χ2) test on your lab data (above) for the F2 generation in a standard dihybrid cross. The goal was to verify if the observed results matched the expected phenotype ratios.

However, it appears they made an error. What did they do wrong?

The degrees of freedom is wrong, it should be a different value. Correct The wrong rejection criteria was used. the level of significance (α) is wrong. Incorrect The expected progeny for the null hypothesis (H0) is incorrect. They did the calculation wrong. Incorrect The numbers in the calculation have to be squared and they are not squared. Incorrect The wrong numbers in the calculation were used for division, you need to divide by a different number. Incorrect MC

e8a6_8337

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

Degrees of freedom0.950.900.750.500.250.100.050.01
10.000.020.100.451.322.713.846.63
20.100.210.581.392.774.615.999.21
30.350.581.212.374.116.257.8111.34
40.711.061.923.365.397.789.4913.28

CategoryExpectedObservedCalculationStatistic
Yellow Round (Y–R–)4055(55-40)²⁄ 405.625
Yellow Wrinkled (Y–rr)4054(54-40)²⁄ 404.900
Green Round (yyR–)4028(28-40)²⁄ 403.600
Green Wrinkled (yyrr)4023(23-40)²⁄ 407.225
N = 160χ2 = 21.350

The final result gives the chi-square statistic (χ2) of 21.35 with 3 degrees of freedom. Consulting the Table of χ² Critical Values and a level of significance (α)=0.05, we obtain a critical value of 7.81.

Since the chi-square statistic (χ2) of 21.35 is greater than the critical value of 7.81, the null hypothesis (H0) has BEEN REJECTED.

Your lab partner completed a chi-square (χ2) test on your lab data (above) for the F2 generation in a standard dihybrid cross. The goal was to verify if the observed results matched the expected phenotype ratios.

However, it appears they made an error. What did they do wrong?

The wrong numbers in the calculation were used for division, you need to divide by a different number. Incorrect The wrong rejection criteria was used. the level of significance (α) is wrong. Incorrect The numbers in the calculation have to be squared and they are not squared. Incorrect The degrees of freedom is wrong, it should be a different value. Incorrect The expected progeny for the null hypothesis (H0) is incorrect. They did the calculation wrong. Correct MC

a8fd_bae6

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

Degrees of freedom0.950.900.750.500.250.100.050.01
10.000.020.100.451.322.713.846.63
20.100.210.581.392.774.615.999.21
30.350.581.212.374.116.257.8111.34
40.711.061.923.365.397.789.4913.28

CategoryExpectedObservedCalculationStatistic
Yellow Round (Y–R–)9080(80-90)²⁄ 80²0.016
Yellow Wrinkled (Y–rr)3025(25-30)²⁄ 25²0.040
Green Round (yyR–)3042(42-30)²⁄ 42²0.082
Green Wrinkled (yyrr)1013(13-10)²⁄ 13²0.053
N = 160χ2 = 0.191

The final result gives the chi-square statistic (χ2) of 0.19 with 3 degrees of freedom. Consulting the Table of χ² Critical Values and a level of significance (α)=0.05, we obtain a critical value of 7.81.

Since the chi-square statistic (χ2) of 0.19 is less than the critical value of 7.81, the null hypothesis (H0) has FAILED TO BE REJECTED.

Your lab partner completed a chi-square (χ2) test on your lab data (above) for the F2 generation in a standard dihybrid cross. The goal was to verify if the observed results matched the expected phenotype ratios.

However, it appears they made an error. What did they do wrong?

The wrong rejection criteria was used. the level of significance (α) is wrong. Incorrect The degrees of freedom is wrong, it should be a different value. Incorrect The wrong numbers in the calculation were used for division, you need to divide by a different number. Correct The expected progeny for the null hypothesis (H0) is incorrect. They did the calculation wrong. Incorrect The numbers in the calculation have to be squared and they are not squared. Incorrect MC

9983_f8bf

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

Degrees of freedom0.950.900.750.500.250.100.050.01
10.000.020.100.451.322.713.846.63
20.100.210.581.392.774.615.999.21
30.350.581.212.374.116.257.8111.34
40.711.061.923.365.397.789.4913.28

CategoryExpectedObservedCalculationStatistic
Yellow Round (Y–R–)9094(94-90)²⁄ 90²0.002
Yellow Wrinkled (Y–rr)3019(19-30)²⁄ 30²0.134
Green Round (yyR–)3040(40-30)²⁄ 30²0.111
Green Wrinkled (yyrr)107(7-10)²⁄ 10²0.090
N = 160χ2 = 0.338

The final result gives the chi-square statistic (χ2) of 0.34 with 3 degrees of freedom. Consulting the Table of χ² Critical Values and a level of significance (α)=0.05, we obtain a critical value of 7.81.

Since the chi-square statistic (χ2) of 0.34 is less than the critical value of 7.81, the null hypothesis (H0) has FAILED TO BE REJECTED.

Your lab partner completed a chi-square (χ2) test on your lab data (above) for the F2 generation in a standard dihybrid cross. The goal was to verify if the observed results matched the expected phenotype ratios.

However, it appears they made an error. What did they do wrong?

The wrong numbers in the calculation were used for division, you need to divide by a different number. Correct The expected progeny for the null hypothesis (H0) is incorrect. They did the calculation wrong. Incorrect The wrong rejection criteria was used. the level of significance (α) is wrong. Incorrect The numbers in the calculation have to be squared and they are not squared. Incorrect The degrees of freedom is wrong, it should be a different value. Incorrect MC

0092_b5e9

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

Degrees of freedom0.950.900.750.500.250.100.050.01
10.000.020.100.451.322.713.846.63
20.100.210.581.392.774.615.999.21
30.350.581.212.374.116.257.8111.34
40.711.061.923.365.397.789.4913.28

CategoryExpectedObservedCalculationStatistic
Yellow Round (Y–R–)9080(80-90)²⁄ 90²0.012
Yellow Wrinkled (Y–rr)3033(33-30)²⁄ 30²0.010
Green Round (yyR–)3039(39-30)²⁄ 30²0.090
Green Wrinkled (yyrr)108(8-10)²⁄ 10²0.040
N = 160χ2 = 0.152

The final result gives the chi-square statistic (χ2) of 0.15 with 3 degrees of freedom. Consulting the Table of χ² Critical Values and a level of significance (α)=0.05, we obtain a critical value of 7.81.

Since the chi-square statistic (χ2) of 0.15 is less than the critical value of 7.81, the null hypothesis (H0) has FAILED TO BE REJECTED.

Your lab partner completed a chi-square (χ2) test on your lab data (above) for the F2 generation in a standard dihybrid cross. The goal was to verify if the observed results matched the expected phenotype ratios.

However, it appears they made an error. What did they do wrong?

The wrong rejection criteria was used. the level of significance (α) is wrong. Incorrect The degrees of freedom is wrong, it should be a different value. Incorrect The expected progeny for the null hypothesis (H0) is incorrect. They did the calculation wrong. Incorrect The wrong numbers in the calculation were used for division, you need to divide by a different number. Correct The numbers in the calculation have to be squared and they are not squared. Incorrect MC

618c_01e0

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

Degrees of freedom0.950.900.750.500.250.100.050.01
10.000.020.100.451.322.713.846.63
20.100.210.581.392.774.615.999.21
30.350.581.212.374.116.257.8111.34
40.711.061.923.365.397.789.4913.28

CategoryExpectedObservedCalculationStatistic
Yellow Round (Y–R–)4061(61-40)²⁄ 4011.025
Yellow Wrinkled (Y–rr)4043(43-40)²⁄ 400.225
Green Round (yyR–)4027(27-40)²⁄ 404.225
Green Wrinkled (yyrr)4029(29-40)²⁄ 403.025
N = 160χ2 = 18.500

The final result gives the chi-square statistic (χ2) of 18.50 with 3 degrees of freedom. Consulting the Table of χ² Critical Values and a level of significance (α)=0.05, we obtain a critical value of 7.81.

Since the chi-square statistic (χ2) of 18.50 is greater than the critical value of 7.81, the null hypothesis (H0) has BEEN REJECTED.

Your lab partner completed a chi-square (χ2) test on your lab data (above) for the F2 generation in a standard dihybrid cross. The goal was to verify if the observed results matched the expected phenotype ratios.

However, it appears they made an error. What did they do wrong?

The wrong numbers in the calculation were used for division, you need to divide by a different number. Incorrect The wrong rejection criteria was used. the level of significance (α) is wrong. Incorrect The numbers in the calculation have to be squared and they are not squared. Incorrect The expected progeny for the null hypothesis (H0) is incorrect. They did the calculation wrong. Correct The degrees of freedom is wrong, it should be a different value. Incorrect MC

7d8f_0f9c

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

Degrees of freedom0.950.900.750.500.250.100.050.01
10.000.020.100.451.322.713.846.63
20.100.210.581.392.774.615.999.21
30.350.581.212.374.116.257.8111.34
40.711.061.923.365.397.789.4913.28

CategoryExpectedObservedCalculationStatistic
Yellow Round (Y–R–)9095(95-90)⁄ 900.056
Yellow Wrinkled (Y–rr)3020(20-30)⁄ 30-0.333
Green Round (yyR–)3037(37-30)⁄ 300.233
Green Wrinkled (yyrr)108(8-10)⁄ 10-0.200
N = 160χ2 = -0.244

The final result gives the chi-square statistic (χ2) of -0.24 with 3 degrees of freedom. Consulting the Table of χ² Critical Values and a level of significance (α)=0.05, we obtain a critical value of 7.81.

Since the chi-square statistic (χ2) of -0.24 is less than the critical value of 7.81, the null hypothesis (H0) has FAILED TO BE REJECTED.

Your lab partner completed a chi-square (χ2) test on your lab data (above) for the F2 generation in a standard dihybrid cross. The goal was to verify if the observed results matched the expected phenotype ratios.

However, it appears they made an error. What did they do wrong?

The wrong rejection criteria was used. the level of significance (α) is wrong. Incorrect The wrong numbers in the calculation were used for division, you need to divide by a different number. Incorrect The expected progeny for the null hypothesis (H0) is incorrect. They did the calculation wrong. Incorrect The numbers in the calculation have to be squared and they are not squared. Correct The degrees of freedom is wrong, it should be a different value. Incorrect MC

63e2_4d09

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

Degrees of freedom0.950.900.750.500.250.100.050.01
10.000.020.100.451.322.713.846.63
20.100.210.581.392.774.615.999.21
30.350.581.212.374.116.257.8111.34
40.711.061.923.365.397.789.4913.28

CategoryExpectedObservedCalculationStatistic
Yellow Round (Y–R–)4060(60-40)²⁄ 4010.000
Yellow Wrinkled (Y–rr)4049(49-40)²⁄ 402.025
Green Round (yyR–)4024(24-40)²⁄ 406.400
Green Wrinkled (yyrr)4027(27-40)²⁄ 404.225
N = 160χ2 = 22.650

The final result gives the chi-square statistic (χ2) of 22.65 with 3 degrees of freedom. Consulting the Table of χ² Critical Values and a level of significance (α)=0.05, we obtain a critical value of 7.81.

Since the chi-square statistic (χ2) of 22.65 is greater than the critical value of 7.81, the null hypothesis (H0) has BEEN REJECTED.

Your lab partner completed a chi-square (χ2) test on your lab data (above) for the F2 generation in a standard dihybrid cross. The goal was to verify if the observed results matched the expected phenotype ratios.

However, it appears they made an error. What did they do wrong?

The expected progeny for the null hypothesis (H0) is incorrect. They did the calculation wrong. Correct The wrong numbers in the calculation were used for division, you need to divide by a different number. Incorrect The numbers in the calculation have to be squared and they are not squared. Incorrect The degrees of freedom is wrong, it should be a different value. Incorrect The wrong rejection criteria was used. the level of significance (α) is wrong. Incorrect MC

2b9c_8d3a

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

Degrees of freedom0.950.900.750.500.250.100.050.01
10.000.020.100.451.322.713.846.63
20.100.210.581.392.774.615.999.21
30.350.581.212.374.116.257.8111.34
40.711.061.923.365.397.789.4913.28

CategoryExpectedObservedCalculationStatistic
Yellow Round (Y–R–)9096(96-90)²⁄ 900.400
Yellow Wrinkled (Y–rr)3017(17-30)²⁄ 305.633
Green Round (yyR–)3039(39-30)²⁄ 302.700
Green Wrinkled (yyrr)108(8-10)²⁄ 100.400
N = 160χ2 = 9.133

The final result gives the chi-square statistic (χ2) of 9.13 with 4 degrees of freedom. Consulting the Table of χ² Critical Values and a level of significance (α)=0.05, we obtain a critical value of 9.49.

Since the chi-square statistic (χ2) of 9.13 is less than the critical value of 9.49, the null hypothesis (H0) has FAILED TO BE REJECTED.

Your lab partner completed a chi-square (χ2) test on your lab data (above) for the F2 generation in a standard dihybrid cross. The goal was to verify if the observed results matched the expected phenotype ratios.

However, it appears they made an error. What did they do wrong?

The expected progeny for the null hypothesis (H0) is incorrect. They did the calculation wrong. Incorrect The wrong rejection criteria was used. the level of significance (α) is wrong. Incorrect The numbers in the calculation have to be squared and they are not squared. Incorrect The wrong numbers in the calculation were used for division, you need to divide by a different number. Incorrect The degrees of freedom is wrong, it should be a different value. Correct MC

9aa9_fa4e

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

Degrees of freedom0.950.900.750.500.250.100.050.01
10.000.020.100.451.322.713.846.63
20.100.210.581.392.774.615.999.21
30.350.581.212.374.116.257.8111.34
40.711.061.923.365.397.789.4913.28

CategoryExpectedObservedCalculationStatistic
Yellow Round (Y–R–)9095(95-90)²⁄ 950.263
Yellow Wrinkled (Y–rr)3013(13-30)²⁄ 1322.231
Green Round (yyR–)3038(38-30)²⁄ 381.684
Green Wrinkled (yyrr)1014(14-10)²⁄ 141.143
N = 160χ2 = 25.321

The final result gives the chi-square statistic (χ2) of 25.32 with 3 degrees of freedom. Consulting the Table of χ² Critical Values and a level of significance (α)=0.05, we obtain a critical value of 7.81.

Since the chi-square statistic (χ2) of 25.32 is greater than the critical value of 7.81, the null hypothesis (H0) has BEEN REJECTED.

Your lab partner completed a chi-square (χ2) test on your lab data (above) for the F2 generation in a standard dihybrid cross. The goal was to verify if the observed results matched the expected phenotype ratios.

However, it appears they made an error. What did they do wrong?

The expected progeny for the null hypothesis (H0) is incorrect. They did the calculation wrong. Incorrect The wrong numbers in the calculation were used for division, you need to divide by a different number. Correct The numbers in the calculation have to be squared and they are not squared. Incorrect The wrong rejection criteria was used. the level of significance (α) is wrong. Incorrect The degrees of freedom is wrong, it should be a different value. Incorrect MC

598d_f82f

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

Degrees of freedom0.950.900.750.500.250.100.050.01
10.000.020.100.451.322.713.846.63
20.100.210.581.392.774.615.999.21
30.350.581.212.374.116.257.8111.34
40.711.061.923.365.397.789.4913.28

CategoryExpectedObservedCalculationStatistic
Yellow Round (Y–R–)90105(105-90)²⁄ 902.500
Yellow Wrinkled (Y–rr)3023(23-30)²⁄ 301.633
Green Round (yyR–)3025(25-30)²⁄ 300.833
Green Wrinkled (yyrr)107(7-10)²⁄ 100.900
N = 160χ2 = 5.867

The final result gives the chi-square statistic (χ2) of 5.87 with 3 degrees of freedom. Consulting the Table of χ² Critical Values and a level of significance (α)=0.05, we obtain a critical value of 7.81.

Since the chi-square statistic (χ2) of 5.87 is less than the critical value of 7.81, the null hypothesis (H0) has BEEN REJECTED.

Your lab partner completed a chi-square (χ2) test on your lab data (above) for the F2 generation in a standard dihybrid cross. The goal was to verify if the observed results matched the expected phenotype ratios.

However, it appears they made an error. What did they do wrong?

The degrees of freedom is wrong, it should be a different value. Incorrect The expected progeny for the null hypothesis (H0) is incorrect. They did the calculation wrong. Incorrect The wrong numbers in the calculation were used for division, you need to divide by a different number. Incorrect The wrong rejection criteria was used. the level of significance (α) is wrong. Correct The numbers in the calculation have to be squared and they are not squared. Incorrect MC

d41d_59cc

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

Degrees of freedom0.950.900.750.500.250.100.050.01
10.000.020.100.451.322.713.846.63
20.100.210.581.392.774.615.999.21
30.350.581.212.374.116.257.8111.34
40.711.061.923.365.397.789.4913.28

CategoryExpectedObservedCalculationStatistic
Yellow Round (Y–R–)9081(81-90)²⁄ 900.900
Yellow Wrinkled (Y–rr)3024(24-30)²⁄ 301.200
Green Round (yyR–)3040(40-30)²⁄ 303.333
Green Wrinkled (yyrr)1015(15-10)²⁄ 102.500
N = 160χ2 = 7.933

The final result gives the chi-square statistic (χ2) of 7.93 with 2 degrees of freedom. Consulting the Table of χ² Critical Values and a level of significance (α)=0.05, we obtain a critical value of 5.99.

Since the chi-square statistic (χ2) of 7.93 is greater than the critical value of 5.99, the null hypothesis (H0) has BEEN REJECTED.

Your lab partner completed a chi-square (χ2) test on your lab data (above) for the F2 generation in a standard dihybrid cross. The goal was to verify if the observed results matched the expected phenotype ratios.

However, it appears they made an error. What did they do wrong?

The degrees of freedom is wrong, it should be a different value. Correct The numbers in the calculation have to be squared and they are not squared. Incorrect The expected progeny for the null hypothesis (H0) is incorrect. They did the calculation wrong. Incorrect The wrong rejection criteria was used. the level of significance (α) is wrong. Incorrect The wrong numbers in the calculation were used for division, you need to divide by a different number. Incorrect MC

d321_d481

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

Degrees of freedom0.950.900.750.500.250.100.050.01
10.000.020.100.451.322.713.846.63
20.100.210.581.392.774.615.999.21
30.350.581.212.374.116.257.8111.34
40.711.061.923.365.397.789.4913.28

CategoryExpectedObservedCalculationStatistic
Yellow Round (Y–R–)90100(100-90)²⁄ 901.111
Yellow Wrinkled (Y–rr)3017(17-30)²⁄ 305.633
Green Round (yyR–)3038(38-30)²⁄ 302.133
Green Wrinkled (yyrr)105(5-10)²⁄ 102.500
N = 160χ2 = 11.378

The final result gives the chi-square statistic (χ2) of 11.38 with 2 degrees of freedom. Consulting the Table of χ² Critical Values and a level of significance (α)=0.05, we obtain a critical value of 5.99.

Since the chi-square statistic (χ2) of 11.38 is greater than the critical value of 5.99, the null hypothesis (H0) has BEEN REJECTED.

Your lab partner completed a chi-square (χ2) test on your lab data (above) for the F2 generation in a standard dihybrid cross. The goal was to verify if the observed results matched the expected phenotype ratios.

However, it appears they made an error. What did they do wrong?

The wrong rejection criteria was used. the level of significance (α) is wrong. Incorrect The numbers in the calculation have to be squared and they are not squared. Incorrect The wrong numbers in the calculation were used for division, you need to divide by a different number. Incorrect The degrees of freedom is wrong, it should be a different value. Correct The expected progeny for the null hypothesis (H0) is incorrect. They did the calculation wrong. Incorrect MC

1cda_ecb6

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

Degrees of freedom0.950.900.750.500.250.100.050.01
10.000.020.100.451.322.713.846.63
20.100.210.581.392.774.615.999.21
30.350.581.212.374.116.257.8111.34
40.711.061.923.365.397.789.4913.28

CategoryExpectedObservedCalculationStatistic
Yellow Round (Y–R–)9099(99-90)²⁄ 99²0.008
Yellow Wrinkled (Y–rr)3020(20-30)²⁄ 20²0.250
Green Round (yyR–)3033(33-30)²⁄ 33²0.008
Green Wrinkled (yyrr)108(8-10)²⁄ 8²0.062
N = 160χ2 = 0.329

The final result gives the chi-square statistic (χ2) of 0.33 with 3 degrees of freedom. Consulting the Table of χ² Critical Values and a level of significance (α)=0.05, we obtain a critical value of 7.81.

Since the chi-square statistic (χ2) of 0.33 is less than the critical value of 7.81, the null hypothesis (H0) has FAILED TO BE REJECTED.

Your lab partner completed a chi-square (χ2) test on your lab data (above) for the F2 generation in a standard dihybrid cross. The goal was to verify if the observed results matched the expected phenotype ratios.

However, it appears they made an error. What did they do wrong?

The degrees of freedom is wrong, it should be a different value. Incorrect The numbers in the calculation have to be squared and they are not squared. Incorrect The wrong numbers in the calculation were used for division, you need to divide by a different number. Correct The wrong rejection criteria was used. the level of significance (α) is wrong. Incorrect The expected progeny for the null hypothesis (H0) is incorrect. They did the calculation wrong. Incorrect MC

e07b_5d75

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

Degrees of freedom0.950.900.750.500.250.100.050.01
10.000.020.100.451.322.713.846.63
20.100.210.581.392.774.615.999.21
30.350.581.212.374.116.257.8111.34
40.711.061.923.365.397.789.4913.28

CategoryExpectedObservedCalculationStatistic
Yellow Round (Y–R–)9097(97-90)²⁄ 90²0.006
Yellow Wrinkled (Y–rr)3018(18-30)²⁄ 30²0.160
Green Round (yyR–)3040(40-30)²⁄ 30²0.111
Green Wrinkled (yyrr)105(5-10)²⁄ 10²0.250
N = 160χ2 = 0.527

The final result gives the chi-square statistic (χ2) of 0.53 with 3 degrees of freedom. Consulting the Table of χ² Critical Values and a level of significance (α)=0.05, we obtain a critical value of 7.81.

Since the chi-square statistic (χ2) of 0.53 is less than the critical value of 7.81, the null hypothesis (H0) has FAILED TO BE REJECTED.

Your lab partner completed a chi-square (χ2) test on your lab data (above) for the F2 generation in a standard dihybrid cross. The goal was to verify if the observed results matched the expected phenotype ratios.

However, it appears they made an error. What did they do wrong?

The numbers in the calculation have to be squared and they are not squared. Incorrect The degrees of freedom is wrong, it should be a different value. Incorrect The expected progeny for the null hypothesis (H0) is incorrect. They did the calculation wrong. Incorrect The wrong numbers in the calculation were used for division, you need to divide by a different number. Correct The wrong rejection criteria was used. the level of significance (α) is wrong. Incorrect MC

5a88_2eed

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

Degrees of freedom0.950.900.750.500.250.100.050.01
10.000.020.100.451.322.713.846.63
20.100.210.581.392.774.615.999.21
30.350.581.212.374.116.257.8111.34
40.711.061.923.365.397.789.4913.28

CategoryExpectedObservedCalculationStatistic
Yellow Round (Y–R–)9081(81-90)⁄ 90-0.100
Yellow Wrinkled (Y–rr)3024(24-30)⁄ 30-0.200
Green Round (yyR–)3039(39-30)⁄ 300.300
Green Wrinkled (yyrr)1016(16-10)⁄ 100.600
N = 160χ2 = 0.600

The final result gives the chi-square statistic (χ2) of 0.60 with 3 degrees of freedom. Consulting the Table of χ² Critical Values and a level of significance (α)=0.05, we obtain a critical value of 7.81.

Since the chi-square statistic (χ2) of 0.60 is less than the critical value of 7.81, the null hypothesis (H0) has FAILED TO BE REJECTED.

Your lab partner completed a chi-square (χ2) test on your lab data (above) for the F2 generation in a standard dihybrid cross. The goal was to verify if the observed results matched the expected phenotype ratios.

However, it appears they made an error. What did they do wrong?

The expected progeny for the null hypothesis (H0) is incorrect. They did the calculation wrong. Incorrect The numbers in the calculation have to be squared and they are not squared. Correct The wrong numbers in the calculation were used for division, you need to divide by a different number. Incorrect The wrong rejection criteria was used. the level of significance (α) is wrong. Incorrect The degrees of freedom is wrong, it should be a different value. Incorrect MC

2933_08d3

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

Degrees of freedom0.950.900.750.500.250.100.050.01
10.000.020.100.451.322.713.846.63
20.100.210.581.392.774.615.999.21
30.350.581.212.374.116.257.8111.34
40.711.061.923.365.397.789.4913.28

CategoryExpectedObservedCalculationStatistic
Yellow Round (Y–R–)9098(98-90)²⁄ 98²0.007
Yellow Wrinkled (Y–rr)3015(15-30)²⁄ 15²1.000
Green Round (yyR–)3039(39-30)²⁄ 39²0.053
Green Wrinkled (yyrr)108(8-10)²⁄ 8²0.062
N = 160χ2 = 1.122

The final result gives the chi-square statistic (χ2) of 1.12 with 3 degrees of freedom. Consulting the Table of χ² Critical Values and a level of significance (α)=0.05, we obtain a critical value of 7.81.

Since the chi-square statistic (χ2) of 1.12 is less than the critical value of 7.81, the null hypothesis (H0) has FAILED TO BE REJECTED.

Your lab partner completed a chi-square (χ2) test on your lab data (above) for the F2 generation in a standard dihybrid cross. The goal was to verify if the observed results matched the expected phenotype ratios.

However, it appears they made an error. What did they do wrong?

The expected progeny for the null hypothesis (H0) is incorrect. They did the calculation wrong. Incorrect The degrees of freedom is wrong, it should be a different value. Incorrect The wrong rejection criteria was used. the level of significance (α) is wrong. Incorrect The wrong numbers in the calculation were used for division, you need to divide by a different number. Correct The numbers in the calculation have to be squared and they are not squared. Incorrect MC

991a_d940

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

Degrees of freedom0.950.900.750.500.250.100.050.01
10.000.020.100.451.322.713.846.63
20.100.210.581.392.774.615.999.21
30.350.581.212.374.116.257.8111.34
40.711.061.923.365.397.789.4913.28

CategoryExpectedObservedCalculationStatistic
Yellow Round (Y–R–)4060(60-40)²⁄ 4010.000
Yellow Wrinkled (Y–rr)4047(47-40)²⁄ 401.225
Green Round (yyR–)4032(32-40)²⁄ 401.600
Green Wrinkled (yyrr)4021(21-40)²⁄ 409.025
N = 160χ2 = 21.850

The final result gives the chi-square statistic (χ2) of 21.85 with 3 degrees of freedom. Consulting the Table of χ² Critical Values and a level of significance (α)=0.05, we obtain a critical value of 7.81.

Since the chi-square statistic (χ2) of 21.85 is greater than the critical value of 7.81, the null hypothesis (H0) has BEEN REJECTED.

Your lab partner completed a chi-square (χ2) test on your lab data (above) for the F2 generation in a standard dihybrid cross. The goal was to verify if the observed results matched the expected phenotype ratios.

However, it appears they made an error. What did they do wrong?

The wrong numbers in the calculation were used for division, you need to divide by a different number. Incorrect The degrees of freedom is wrong, it should be a different value. Incorrect The wrong rejection criteria was used. the level of significance (α) is wrong. Incorrect The numbers in the calculation have to be squared and they are not squared. Incorrect The expected progeny for the null hypothesis (H0) is incorrect. They did the calculation wrong. Correct MC

d90e_c23e

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

Degrees of freedom0.950.900.750.500.250.100.050.01
10.000.020.100.451.322.713.846.63
20.100.210.581.392.774.615.999.21
30.350.581.212.374.116.257.8111.34
40.711.061.923.365.397.789.4913.28

CategoryExpectedObservedCalculationStatistic
Yellow Round (Y–R–)9086(86-90)²⁄ 860.186
Yellow Wrinkled (Y–rr)3018(18-30)²⁄ 188.000
Green Round (yyR–)3048(48-30)²⁄ 486.750
Green Wrinkled (yyrr)108(8-10)²⁄ 80.500
N = 160χ2 = 15.436

The final result gives the chi-square statistic (χ2) of 15.44 with 3 degrees of freedom. Consulting the Table of χ² Critical Values and a level of significance (α)=0.05, we obtain a critical value of 7.81.

Since the chi-square statistic (χ2) of 15.44 is greater than the critical value of 7.81, the null hypothesis (H0) has BEEN REJECTED.

Your lab partner completed a chi-square (χ2) test on your lab data (above) for the F2 generation in a standard dihybrid cross. The goal was to verify if the observed results matched the expected phenotype ratios.

However, it appears they made an error. What did they do wrong?

The wrong rejection criteria was used. the level of significance (α) is wrong. Incorrect The wrong numbers in the calculation were used for division, you need to divide by a different number. Correct The degrees of freedom is wrong, it should be a different value. Incorrect The expected progeny for the null hypothesis (H0) is incorrect. They did the calculation wrong. Incorrect The numbers in the calculation have to be squared and they are not squared. Incorrect MC

0041_d6b0

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

Degrees of freedom0.950.900.750.500.250.100.050.01
10.000.020.100.451.322.713.846.63
20.100.210.581.392.774.615.999.21
30.350.581.212.374.116.257.8111.34
40.711.061.923.365.397.789.4913.28

CategoryExpectedObservedCalculationStatistic
Yellow Round (Y–R–)9070(70-90)⁄ 90-0.222
Yellow Wrinkled (Y–rr)3024(24-30)⁄ 30-0.200
Green Round (yyR–)3050(50-30)⁄ 300.667
Green Wrinkled (yyrr)1016(16-10)⁄ 100.600
N = 160χ2 = 0.844

The final result gives the chi-square statistic (χ2) of 0.84 with 3 degrees of freedom. Consulting the Table of χ² Critical Values and a level of significance (α)=0.05, we obtain a critical value of 7.81.

Since the chi-square statistic (χ2) of 0.84 is less than the critical value of 7.81, the null hypothesis (H0) has FAILED TO BE REJECTED.

Your lab partner completed a chi-square (χ2) test on your lab data (above) for the F2 generation in a standard dihybrid cross. The goal was to verify if the observed results matched the expected phenotype ratios.

However, it appears they made an error. What did they do wrong?

The wrong rejection criteria was used. the level of significance (α) is wrong. Incorrect The numbers in the calculation have to be squared and they are not squared. Correct The degrees of freedom is wrong, it should be a different value. Incorrect The expected progeny for the null hypothesis (H0) is incorrect. They did the calculation wrong. Incorrect The wrong numbers in the calculation were used for division, you need to divide by a different number. Incorrect MC

0846_2e1d

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

Degrees of freedom0.950.900.750.500.250.100.050.01
10.000.020.100.451.322.713.846.63
20.100.210.581.392.774.615.999.21
30.350.581.212.374.116.257.8111.34
40.711.061.923.365.397.789.4913.28

CategoryExpectedObservedCalculationStatistic
Yellow Round (Y–R–)9083(83-90)²⁄ 900.544
Yellow Wrinkled (Y–rr)3020(20-30)²⁄ 303.333
Green Round (yyR–)3042(42-30)²⁄ 304.800
Green Wrinkled (yyrr)1015(15-10)²⁄ 102.500
N = 160χ2 = 11.178

The final result gives the chi-square statistic (χ2) of 11.18 with 3 degrees of freedom. Consulting the Table of χ² Critical Values and a level of significance (α)=0.05, we obtain a critical value of 7.81.

Since the chi-square statistic (χ2) of 11.18 is greater than the critical value of 7.81, the null hypothesis (H0) has FAILED TO BE REJECTED.

Your lab partner completed a chi-square (χ2) test on your lab data (above) for the F2 generation in a standard dihybrid cross. The goal was to verify if the observed results matched the expected phenotype ratios.

However, it appears they made an error. What did they do wrong?

The wrong numbers in the calculation were used for division, you need to divide by a different number. Incorrect The numbers in the calculation have to be squared and they are not squared. Incorrect The wrong rejection criteria was used. the level of significance (α) is wrong. Correct The expected progeny for the null hypothesis (H0) is incorrect. They did the calculation wrong. Incorrect The degrees of freedom is wrong, it should be a different value. Incorrect MC

4e02_bb12

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

Degrees of freedom0.950.900.750.500.250.100.050.01
10.000.020.100.451.322.713.846.63
20.100.210.581.392.774.615.999.21
30.350.581.212.374.116.257.8111.34
40.711.061.923.365.397.789.4913.28

CategoryExpectedObservedCalculationStatistic
Yellow Round (Y–R–)90101(101-90)⁄ 900.122
Yellow Wrinkled (Y–rr)3011(11-30)⁄ 30-0.633
Green Round (yyR–)3044(44-30)⁄ 300.467
Green Wrinkled (yyrr)104(4-10)⁄ 10-0.600
N = 160χ2 = -0.644

The final result gives the chi-square statistic (χ2) of -0.64 with 3 degrees of freedom. Consulting the Table of χ² Critical Values and a level of significance (α)=0.05, we obtain a critical value of 7.81.

Since the chi-square statistic (χ2) of -0.64 is less than the critical value of 7.81, the null hypothesis (H0) has FAILED TO BE REJECTED.

Your lab partner completed a chi-square (χ2) test on your lab data (above) for the F2 generation in a standard dihybrid cross. The goal was to verify if the observed results matched the expected phenotype ratios.

However, it appears they made an error. What did they do wrong?

The degrees of freedom is wrong, it should be a different value. Incorrect The expected progeny for the null hypothesis (H0) is incorrect. They did the calculation wrong. Incorrect The numbers in the calculation have to be squared and they are not squared. Correct The wrong rejection criteria was used. the level of significance (α) is wrong. Incorrect The wrong numbers in the calculation were used for division, you need to divide by a different number. Incorrect MC

f2d6_bbe7

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

Degrees of freedom0.950.900.750.500.250.100.050.01
10.000.020.100.451.322.713.846.63
20.100.210.581.392.774.615.999.21
30.350.581.212.374.116.257.8111.34
40.711.061.923.365.397.789.4913.28

CategoryExpectedObservedCalculationStatistic
Yellow Round (Y–R–)9086(86-90)²⁄ 860.186
Yellow Wrinkled (Y–rr)3022(22-30)²⁄ 222.909
Green Round (yyR–)3046(46-30)²⁄ 465.565
Green Wrinkled (yyrr)106(6-10)²⁄ 62.667
N = 160χ2 = 11.327

The final result gives the chi-square statistic (χ2) of 11.33 with 3 degrees of freedom. Consulting the Table of χ² Critical Values and a level of significance (α)=0.05, we obtain a critical value of 7.81.

Since the chi-square statistic (χ2) of 11.33 is greater than the critical value of 7.81, the null hypothesis (H0) has BEEN REJECTED.

Your lab partner completed a chi-square (χ2) test on your lab data (above) for the F2 generation in a standard dihybrid cross. The goal was to verify if the observed results matched the expected phenotype ratios.

However, it appears they made an error. What did they do wrong?

The wrong rejection criteria was used. the level of significance (α) is wrong. Incorrect The degrees of freedom is wrong, it should be a different value. Incorrect The expected progeny for the null hypothesis (H0) is incorrect. They did the calculation wrong. Incorrect The numbers in the calculation have to be squared and they are not squared. Incorrect The wrong numbers in the calculation were used for division, you need to divide by a different number. Correct MC

ee0d_d940

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

Degrees of freedom0.950.900.750.500.250.100.050.01
10.000.020.100.451.322.713.846.63
20.100.210.581.392.774.615.999.21
30.350.581.212.374.116.257.8111.34
40.711.061.923.365.397.789.4913.28

CategoryExpectedObservedCalculationStatistic
Yellow Round (Y–R–)9096(96-90)²⁄ 900.400
Yellow Wrinkled (Y–rr)3017(17-30)²⁄ 305.633
Green Round (yyR–)3039(39-30)²⁄ 302.700
Green Wrinkled (yyrr)108(8-10)²⁄ 100.400
N = 160χ2 = 9.133

The final result gives the chi-square statistic (χ2) of 9.13 with 2 degrees of freedom. Consulting the Table of χ² Critical Values and a level of significance (α)=0.05, we obtain a critical value of 5.99.

Since the chi-square statistic (χ2) of 9.13 is greater than the critical value of 5.99, the null hypothesis (H0) has BEEN REJECTED.

Your lab partner completed a chi-square (χ2) test on your lab data (above) for the F2 generation in a standard dihybrid cross. The goal was to verify if the observed results matched the expected phenotype ratios.

However, it appears they made an error. What did they do wrong?

The wrong numbers in the calculation were used for division, you need to divide by a different number. Incorrect The degrees of freedom is wrong, it should be a different value. Correct The wrong rejection criteria was used. the level of significance (α) is wrong. Incorrect The numbers in the calculation have to be squared and they are not squared. Incorrect The expected progeny for the null hypothesis (H0) is incorrect. They did the calculation wrong. Incorrect MC

5883_84a6

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

Degrees of freedom0.950.900.750.500.250.100.050.01
10.000.020.100.451.322.713.846.63
20.100.210.581.392.774.615.999.21
30.350.581.212.374.116.257.8111.34
40.711.061.923.365.397.789.4913.28

CategoryExpectedObservedCalculationStatistic
Yellow Round (Y–R–)9096(96-90)²⁄ 96²0.004
Yellow Wrinkled (Y–rr)3025(25-30)²⁄ 25²0.040
Green Round (yyR–)3033(33-30)²⁄ 33²0.008
Green Wrinkled (yyrr)106(6-10)²⁄ 6²0.444
N = 160χ2 = 0.497

The final result gives the chi-square statistic (χ2) of 0.50 with 3 degrees of freedom. Consulting the Table of χ² Critical Values and a level of significance (α)=0.05, we obtain a critical value of 7.81.

Since the chi-square statistic (χ2) of 0.50 is less than the critical value of 7.81, the null hypothesis (H0) has FAILED TO BE REJECTED.

Your lab partner completed a chi-square (χ2) test on your lab data (above) for the F2 generation in a standard dihybrid cross. The goal was to verify if the observed results matched the expected phenotype ratios.

However, it appears they made an error. What did they do wrong?

The expected progeny for the null hypothesis (H0) is incorrect. They did the calculation wrong. Incorrect The wrong rejection criteria was used. the level of significance (α) is wrong. Incorrect The numbers in the calculation have to be squared and they are not squared. Incorrect The degrees of freedom is wrong, it should be a different value. Incorrect The wrong numbers in the calculation were used for division, you need to divide by a different number. Correct MC

b0a7_f82f

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

Degrees of freedom0.950.900.750.500.250.100.050.01
10.000.020.100.451.322.713.846.63
20.100.210.581.392.774.615.999.21
30.350.581.212.374.116.257.8111.34
40.711.061.923.365.397.789.4913.28

CategoryExpectedObservedCalculationStatistic
Yellow Round (Y–R–)9099(99-90)²⁄ 990.818
Yellow Wrinkled (Y–rr)3025(25-30)²⁄ 251.000
Green Round (yyR–)3030(30-30)²⁄ 300.000
Green Wrinkled (yyrr)106(6-10)²⁄ 62.667
N = 160χ2 = 4.485

The final result gives the chi-square statistic (χ2) of 4.49 with 3 degrees of freedom. Consulting the Table of χ² Critical Values and a level of significance (α)=0.05, we obtain a critical value of 7.81.

Since the chi-square statistic (χ2) of 4.49 is less than the critical value of 7.81, the null hypothesis (H0) has FAILED TO BE REJECTED.

Your lab partner completed a chi-square (χ2) test on your lab data (above) for the F2 generation in a standard dihybrid cross. The goal was to verify if the observed results matched the expected phenotype ratios.

However, it appears they made an error. What did they do wrong?

The degrees of freedom is wrong, it should be a different value. Incorrect The expected progeny for the null hypothesis (H0) is incorrect. They did the calculation wrong. Incorrect The wrong numbers in the calculation were used for division, you need to divide by a different number. Correct The wrong rejection criteria was used. the level of significance (α) is wrong. Incorrect The numbers in the calculation have to be squared and they are not squared. Incorrect MC

9891_7a34

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

Degrees of freedom0.950.900.750.500.250.100.050.01
10.000.020.100.451.322.713.846.63
20.100.210.581.392.774.615.999.21
30.350.581.212.374.116.257.8111.34
40.711.061.923.365.397.789.4913.28

CategoryExpectedObservedCalculationStatistic
Yellow Round (Y–R–)9086(86-90)²⁄ 900.178
Yellow Wrinkled (Y–rr)3022(22-30)²⁄ 302.133
Green Round (yyR–)3040(40-30)²⁄ 303.333
Green Wrinkled (yyrr)1012(12-10)²⁄ 100.400
N = 160χ2 = 6.044

The final result gives the chi-square statistic (χ2) of 6.04 with 3 degrees of freedom. Consulting the Table of χ² Critical Values and a level of significance (α)=0.50, we obtain a critical value of 2.37.

Since the chi-square statistic (χ2) of 6.04 is greater than the critical value of 2.37, the null hypothesis (H0) has BEEN REJECTED.

Your lab partner completed a chi-square (χ2) test on your lab data (above) for the F2 generation in a standard dihybrid cross. The goal was to verify if the observed results matched the expected phenotype ratios.

However, it appears they made an error. What did they do wrong?

The numbers in the calculation have to be squared and they are not squared. Incorrect The degrees of freedom is wrong, it should be a different value. Incorrect The wrong rejection criteria was used. the level of significance (α) is wrong. Correct The expected progeny for the null hypothesis (H0) is incorrect. They did the calculation wrong. Incorrect The wrong numbers in the calculation were used for division, you need to divide by a different number. Incorrect MC

d01c_3c03

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

Degrees of freedom0.950.900.750.500.250.100.050.01
10.000.020.100.451.322.713.846.63
20.100.210.581.392.774.615.999.21
30.350.581.212.374.116.257.8111.34
40.711.061.923.365.397.789.4913.28

CategoryExpectedObservedCalculationStatistic
Yellow Round (Y–R–)9096(96-90)²⁄ 900.400
Yellow Wrinkled (Y–rr)3019(19-30)²⁄ 304.033
Green Round (yyR–)3044(44-30)²⁄ 306.533
Green Wrinkled (yyrr)101(1-10)²⁄ 108.100
N = 160χ2 = 19.067

The final result gives the chi-square statistic (χ2) of 19.07 with 3 degrees of freedom. Consulting the Table of χ² Critical Values and a level of significance (α)=0.05, we obtain a critical value of 7.81.

Since the chi-square statistic (χ2) of 19.07 is greater than the critical value of 7.81, the null hypothesis (H0) has FAILED TO BE REJECTED.

Your lab partner completed a chi-square (χ2) test on your lab data (above) for the F2 generation in a standard dihybrid cross. The goal was to verify if the observed results matched the expected phenotype ratios.

However, it appears they made an error. What did they do wrong?

The degrees of freedom is wrong, it should be a different value. Incorrect The wrong rejection criteria was used. the level of significance (α) is wrong. Correct The numbers in the calculation have to be squared and they are not squared. Incorrect The wrong numbers in the calculation were used for division, you need to divide by a different number. Incorrect The expected progeny for the null hypothesis (H0) is incorrect. They did the calculation wrong. Incorrect MC

bd6e_eb33

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

Degrees of freedom0.950.900.750.500.250.100.050.01
10.000.020.100.451.322.713.846.63
20.100.210.581.392.774.615.999.21
30.350.581.212.374.116.257.8111.34
40.711.061.923.365.397.789.4913.28

CategoryExpectedObservedCalculationStatistic
Yellow Round (Y–R–)4065(65-40)²⁄ 4015.625
Yellow Wrinkled (Y–rr)4050(50-40)²⁄ 402.500
Green Round (yyR–)4023(23-40)²⁄ 407.225
Green Wrinkled (yyrr)4022(22-40)²⁄ 408.100
N = 160χ2 = 33.450

The final result gives the chi-square statistic (χ2) of 33.45 with 3 degrees of freedom. Consulting the Table of χ² Critical Values and a level of significance (α)=0.05, we obtain a critical value of 7.81.

Since the chi-square statistic (χ2) of 33.45 is greater than the critical value of 7.81, the null hypothesis (H0) has BEEN REJECTED.

Your lab partner completed a chi-square (χ2) test on your lab data (above) for the F2 generation in a standard dihybrid cross. The goal was to verify if the observed results matched the expected phenotype ratios.

However, it appears they made an error. What did they do wrong?

The degrees of freedom is wrong, it should be a different value. Incorrect The expected progeny for the null hypothesis (H0) is incorrect. They did the calculation wrong. Correct The wrong numbers in the calculation were used for division, you need to divide by a different number. Incorrect The numbers in the calculation have to be squared and they are not squared. Incorrect The wrong rejection criteria was used. the level of significance (α) is wrong. Incorrect MC

d307_474b

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

Degrees of freedom0.950.900.750.500.250.100.050.01
10.000.020.100.451.322.713.846.63
20.100.210.581.392.774.615.999.21
30.350.581.212.374.116.257.8111.34
40.711.061.923.365.397.789.4913.28

CategoryExpectedObservedCalculationStatistic
Yellow Round (Y–R–)90103(103-90)²⁄ 901.878
Yellow Wrinkled (Y–rr)3019(19-30)²⁄ 304.033
Green Round (yyR–)3031(31-30)²⁄ 300.033
Green Wrinkled (yyrr)107(7-10)²⁄ 100.900
N = 160χ2 = 6.844

The final result gives the chi-square statistic (χ2) of 6.84 with 2 degrees of freedom. Consulting the Table of χ² Critical Values and a level of significance (α)=0.05, we obtain a critical value of 5.99.

Since the chi-square statistic (χ2) of 6.84 is greater than the critical value of 5.99, the null hypothesis (H0) has BEEN REJECTED.

Your lab partner completed a chi-square (χ2) test on your lab data (above) for the F2 generation in a standard dihybrid cross. The goal was to verify if the observed results matched the expected phenotype ratios.

However, it appears they made an error. What did they do wrong?

The degrees of freedom is wrong, it should be a different value. Correct The wrong rejection criteria was used. the level of significance (α) is wrong. Incorrect The expected progeny for the null hypothesis (H0) is incorrect. They did the calculation wrong. Incorrect The numbers in the calculation have to be squared and they are not squared. Incorrect The wrong numbers in the calculation were used for division, you need to divide by a different number. Incorrect MC

d953_d940

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

Degrees of freedom0.950.900.750.500.250.100.050.01
10.000.020.100.451.322.713.846.63
20.100.210.581.392.774.615.999.21
30.350.581.212.374.116.257.8111.34
40.711.061.923.365.397.789.4913.28

CategoryExpectedObservedCalculationStatistic
Yellow Round (Y–R–)9076(76-90)²⁄ 90²0.024
Yellow Wrinkled (Y–rr)3025(25-30)²⁄ 30²0.028
Green Round (yyR–)3046(46-30)²⁄ 30²0.284
Green Wrinkled (yyrr)1013(13-10)²⁄ 10²0.090
N = 160χ2 = 0.426

The final result gives the chi-square statistic (χ2) of 0.43 with 3 degrees of freedom. Consulting the Table of χ² Critical Values and a level of significance (α)=0.05, we obtain a critical value of 7.81.

Since the chi-square statistic (χ2) of 0.43 is less than the critical value of 7.81, the null hypothesis (H0) has FAILED TO BE REJECTED.

Your lab partner completed a chi-square (χ2) test on your lab data (above) for the F2 generation in a standard dihybrid cross. The goal was to verify if the observed results matched the expected phenotype ratios.

However, it appears they made an error. What did they do wrong?

The wrong numbers in the calculation were used for division, you need to divide by a different number. Correct The degrees of freedom is wrong, it should be a different value. Incorrect The wrong rejection criteria was used. the level of significance (α) is wrong. Incorrect The numbers in the calculation have to be squared and they are not squared. Incorrect The expected progeny for the null hypothesis (H0) is incorrect. They did the calculation wrong. Incorrect MC

4172_67bc

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

Degrees of freedom0.950.900.750.500.250.100.050.01
10.000.020.100.451.322.713.846.63
20.100.210.581.392.774.615.999.21
30.350.581.212.374.116.257.8111.34
40.711.061.923.365.397.789.4913.28

CategoryExpectedObservedCalculationStatistic
Yellow Round (Y–R–)9084(84-90)²⁄ 900.400
Yellow Wrinkled (Y–rr)3023(23-30)²⁄ 301.633
Green Round (yyR–)3045(45-30)²⁄ 307.500
Green Wrinkled (yyrr)108(8-10)²⁄ 100.400
N = 160χ2 = 9.933

The final result gives the chi-square statistic (χ2) of 9.93 with 3 degrees of freedom. Consulting the Table of χ² Critical Values and a level of significance (α)=0.05, we obtain a critical value of 7.81.

Since the chi-square statistic (χ2) of 9.93 is greater than the critical value of 7.81, the null hypothesis (H0) has FAILED TO BE REJECTED.

Your lab partner completed a chi-square (χ2) test on your lab data (above) for the F2 generation in a standard dihybrid cross. The goal was to verify if the observed results matched the expected phenotype ratios.

However, it appears they made an error. What did they do wrong?

The expected progeny for the null hypothesis (H0) is incorrect. They did the calculation wrong. Incorrect The wrong numbers in the calculation were used for division, you need to divide by a different number. Incorrect The wrong rejection criteria was used. the level of significance (α) is wrong. Correct The numbers in the calculation have to be squared and they are not squared. Incorrect The degrees of freedom is wrong, it should be a different value. Incorrect MC

a9d5_36d1

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

Degrees of freedom0.950.900.750.500.250.100.050.01
10.000.020.100.451.322.713.846.63
20.100.210.581.392.774.615.999.21
30.350.581.212.374.116.257.8111.34
40.711.061.923.365.397.789.4913.28

CategoryExpectedObservedCalculationStatistic
Yellow Round (Y–R–)9079(79-90)²⁄ 901.344
Yellow Wrinkled (Y–rr)3023(23-30)²⁄ 301.633
Green Round (yyR–)3052(52-30)²⁄ 3016.133
Green Wrinkled (yyrr)106(6-10)²⁄ 101.600
N = 160χ2 = 20.711

The final result gives the chi-square statistic (χ2) of 20.71 with 3 degrees of freedom. Consulting the Table of χ² Critical Values and a level of significance (α)=0.05, we obtain a critical value of 7.81.

Since the chi-square statistic (χ2) of 20.71 is greater than the critical value of 7.81, the null hypothesis (H0) has FAILED TO BE REJECTED.

Your lab partner completed a chi-square (χ2) test on your lab data (above) for the F2 generation in a standard dihybrid cross. The goal was to verify if the observed results matched the expected phenotype ratios.

However, it appears they made an error. What did they do wrong?

The wrong numbers in the calculation were used for division, you need to divide by a different number. Incorrect The numbers in the calculation have to be squared and they are not squared. Incorrect The degrees of freedom is wrong, it should be a different value. Incorrect The wrong rejection criteria was used. the level of significance (α) is wrong. Correct The expected progeny for the null hypothesis (H0) is incorrect. They did the calculation wrong. Incorrect MC

3c8f_7a34

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

Degrees of freedom0.950.900.750.500.250.100.050.01
10.000.020.100.451.322.713.846.63
20.100.210.581.392.774.615.999.21
30.350.581.212.374.116.257.8111.34
40.711.061.923.365.397.789.4913.28

CategoryExpectedObservedCalculationStatistic
Yellow Round (Y–R–)9094(94-90)⁄ 900.044
Yellow Wrinkled (Y–rr)3016(16-30)⁄ 30-0.467
Green Round (yyR–)3038(38-30)⁄ 300.267
Green Wrinkled (yyrr)1012(12-10)⁄ 100.200
N = 160χ2 = 0.044

The final result gives the chi-square statistic (χ2) of 0.04 with 3 degrees of freedom. Consulting the Table of χ² Critical Values and a level of significance (α)=0.05, we obtain a critical value of 7.81.

Since the chi-square statistic (χ2) of 0.04 is less than the critical value of 7.81, the null hypothesis (H0) has FAILED TO BE REJECTED.

Your lab partner completed a chi-square (χ2) test on your lab data (above) for the F2 generation in a standard dihybrid cross. The goal was to verify if the observed results matched the expected phenotype ratios.

However, it appears they made an error. What did they do wrong?

The numbers in the calculation have to be squared and they are not squared. Correct The degrees of freedom is wrong, it should be a different value. Incorrect The wrong rejection criteria was used. the level of significance (α) is wrong. Incorrect The expected progeny for the null hypothesis (H0) is incorrect. They did the calculation wrong. Incorrect The wrong numbers in the calculation were used for division, you need to divide by a different number. Incorrect MC

8830_c23e

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

Degrees of freedom0.950.900.750.500.250.100.050.01
10.000.020.100.451.322.713.846.63
20.100.210.581.392.774.615.999.21
30.350.581.212.374.116.257.8111.34
40.711.061.923.365.397.789.4913.28

CategoryExpectedObservedCalculationStatistic
Yellow Round (Y–R–)4064(64-40)²⁄ 4014.400
Yellow Wrinkled (Y–rr)4032(32-40)²⁄ 401.600
Green Round (yyR–)4038(38-40)²⁄ 400.100
Green Wrinkled (yyrr)4026(26-40)²⁄ 404.900
N = 160χ2 = 21.000

The final result gives the chi-square statistic (χ2) of 21.00 with 3 degrees of freedom. Consulting the Table of χ² Critical Values and a level of significance (α)=0.05, we obtain a critical value of 7.81.

Since the chi-square statistic (χ2) of 21.00 is greater than the critical value of 7.81, the null hypothesis (H0) has BEEN REJECTED.

Your lab partner completed a chi-square (χ2) test on your lab data (above) for the F2 generation in a standard dihybrid cross. The goal was to verify if the observed results matched the expected phenotype ratios.

However, it appears they made an error. What did they do wrong?

The wrong rejection criteria was used. the level of significance (α) is wrong. Incorrect The wrong numbers in the calculation were used for division, you need to divide by a different number. Incorrect The degrees of freedom is wrong, it should be a different value. Incorrect The expected progeny for the null hypothesis (H0) is incorrect. They did the calculation wrong. Correct The numbers in the calculation have to be squared and they are not squared. Incorrect MC

0293_7ca1

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

Degrees of freedom0.950.900.750.500.250.100.050.01
10.000.020.100.451.322.713.846.63
20.100.210.581.392.774.615.999.21
30.350.581.212.374.116.257.8111.34
40.711.061.923.365.397.789.4913.28

CategoryExpectedObservedCalculationStatistic
Yellow Round (Y–R–)4054(54-40)²⁄ 404.900
Yellow Wrinkled (Y–rr)4054(54-40)²⁄ 404.900
Green Round (yyR–)4030(30-40)²⁄ 402.500
Green Wrinkled (yyrr)4022(22-40)²⁄ 408.100
N = 160χ2 = 20.400

The final result gives the chi-square statistic (χ2) of 20.40 with 3 degrees of freedom. Consulting the Table of χ² Critical Values and a level of significance (α)=0.05, we obtain a critical value of 7.81.

Since the chi-square statistic (χ2) of 20.40 is greater than the critical value of 7.81, the null hypothesis (H0) has BEEN REJECTED.

Your lab partner completed a chi-square (χ2) test on your lab data (above) for the F2 generation in a standard dihybrid cross. The goal was to verify if the observed results matched the expected phenotype ratios.

However, it appears they made an error. What did they do wrong?

The degrees of freedom is wrong, it should be a different value. Incorrect The wrong numbers in the calculation were used for division, you need to divide by a different number. Incorrect The expected progeny for the null hypothesis (H0) is incorrect. They did the calculation wrong. Correct The wrong rejection criteria was used. the level of significance (α) is wrong. Incorrect The numbers in the calculation have to be squared and they are not squared. Incorrect MC

6484_9d0e

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

Degrees of freedom0.950.900.750.500.250.100.050.01
10.000.020.100.451.322.713.846.63
20.100.210.581.392.774.615.999.21
30.350.581.212.374.116.257.8111.34
40.711.061.923.365.397.789.4913.28

CategoryExpectedObservedCalculationStatistic
Yellow Round (Y–R–)9087(87-90)⁄ 90-0.033
Yellow Wrinkled (Y–rr)3018(18-30)⁄ 30-0.400
Green Round (yyR–)3043(43-30)⁄ 300.433
Green Wrinkled (yyrr)1012(12-10)⁄ 100.200
N = 160χ2 = 0.200

The final result gives the chi-square statistic (χ2) of 0.20 with 3 degrees of freedom. Consulting the Table of χ² Critical Values and a level of significance (α)=0.05, we obtain a critical value of 7.81.

Since the chi-square statistic (χ2) of 0.20 is less than the critical value of 7.81, the null hypothesis (H0) has FAILED TO BE REJECTED.

Your lab partner completed a chi-square (χ2) test on your lab data (above) for the F2 generation in a standard dihybrid cross. The goal was to verify if the observed results matched the expected phenotype ratios.

However, it appears they made an error. What did they do wrong?

The expected progeny for the null hypothesis (H0) is incorrect. They did the calculation wrong. Incorrect The wrong rejection criteria was used. the level of significance (α) is wrong. Incorrect The degrees of freedom is wrong, it should be a different value. Incorrect The wrong numbers in the calculation were used for division, you need to divide by a different number. Incorrect The numbers in the calculation have to be squared and they are not squared. Correct MC

9899_6fbd

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

Degrees of freedom0.950.900.750.500.250.100.050.01
10.000.020.100.451.322.713.846.63
20.100.210.581.392.774.615.999.21
30.350.581.212.374.116.257.8111.34
40.711.061.923.365.397.789.4913.28

CategoryExpectedObservedCalculationStatistic
Yellow Round (Y–R–)4062(62-40)²⁄ 4012.100
Yellow Wrinkled (Y–rr)4049(49-40)²⁄ 402.025
Green Round (yyR–)4024(24-40)²⁄ 406.400
Green Wrinkled (yyrr)4025(25-40)²⁄ 405.625
N = 160χ2 = 26.150

The final result gives the chi-square statistic (χ2) of 26.15 with 3 degrees of freedom. Consulting the Table of χ² Critical Values and a level of significance (α)=0.05, we obtain a critical value of 7.81.

Since the chi-square statistic (χ2) of 26.15 is greater than the critical value of 7.81, the null hypothesis (H0) has BEEN REJECTED.

Your lab partner completed a chi-square (χ2) test on your lab data (above) for the F2 generation in a standard dihybrid cross. The goal was to verify if the observed results matched the expected phenotype ratios.

However, it appears they made an error. What did they do wrong?

The degrees of freedom is wrong, it should be a different value. Incorrect The wrong numbers in the calculation were used for division, you need to divide by a different number. Incorrect The expected progeny for the null hypothesis (H0) is incorrect. They did the calculation wrong. Correct The numbers in the calculation have to be squared and they are not squared. Incorrect The wrong rejection criteria was used. the level of significance (α) is wrong. Incorrect