MC

241b_53b8

Table of Chi-Squared (χ²) Critical Values
Degrees of Freedom Probability
0.950.900.750.500.250.100.050.01
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

Phenotype Expected Observed Calculation Statistic
 Yellow Round (Y–R–) 40 58 (58-40)²⁄ 40 8.100
 Yellow Wrinkled (Y–rr) 40 40 (40-40)²⁄ 40 0.000
 Green Round (yyR–) 40 39 (39-40)²⁄ 40 0.025
 Green Wrinkled (yyrr) 40 23 (23-40)²⁄ 40 7.225
(sum) χ² =  15.350

The final result gives the chi-squared (χ²) test value of 15.35 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-squared value of 15.35 is greater than the critical value of 7.81, the null hypothesis is REJECTED.


Your lab partner completed a chi-squared (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?

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

e7c6_7a61

Table of Chi-Squared (χ²) Critical Values
Degrees of Freedom Probability
0.950.900.750.500.250.100.050.01
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

Phenotype Expected Observed Calculation Statistic
 Yellow Round (Y–R–) 90 87 (87-90)²⁄ 90 0.100
 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 13 (13-10)²⁄ 10 0.900
(sum) χ² =  12.267

The final result gives the chi-squared (χ²) test value of 12.27 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-squared value of 12.27 is greater than the critical value of 5.99, the null hypothesis is REJECTED.


Your lab partner completed a chi-squared (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?

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

522d_cb08

Table of Chi-Squared (χ²) Critical Values
Degrees of Freedom Probability
0.950.900.750.500.250.100.050.01
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

Phenotype Expected Observed Calculation Statistic
 Yellow Round (Y–R–) 90 82 (82-90)²⁄ 90 0.711
 Yellow Wrinkled (Y–rr) 30 24 (24-30)²⁄ 30 1.200
 Green Round (yyR–) 30 46 (46-30)²⁄ 30 8.533
 Green Wrinkled (yyrr) 10 8 (8-10)²⁄ 10 0.400
(sum) χ² =  10.844

The final result gives the chi-squared (χ²) test value of 10.84 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-squared value of 10.84 is greater than the critical value of 7.81, the null hypothesis is ACCEPTED.


Your lab partner completed a chi-squared (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?

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

4a47_bce3

Table of Chi-Squared (χ²) Critical Values
Degrees of Freedom Probability
0.950.900.750.500.250.100.050.01
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

Phenotype 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 44 (44-30)⁄ 30 0.467
 Green Wrinkled (yyrr) 10 16 (16-10)⁄ 10 0.600
(sum) χ² =  0.644

The final result gives the chi-squared (χ²) test value 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-squared value of 0.64 is less than the critical value of 7.81, the null hypothesis is ACCEPTED.


Your lab partner completed a chi-squared (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?

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

a144_2940

Table of Chi-Squared (χ²) Critical Values
Degrees of Freedom Probability
0.950.900.750.500.250.100.050.01
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

Phenotype Expected Observed Calculation Statistic
 Yellow Round (Y–R–) 90 85 (85-90)²⁄ 90 0.278
 Yellow Wrinkled (Y–rr) 30 25 (25-30)²⁄ 30 0.833
 Green Round (yyR–) 30 36 (36-30)²⁄ 30 1.200
 Green Wrinkled (yyrr) 10 14 (14-10)²⁄ 10 1.600
(sum) χ² =  3.911

The final result gives the chi-squared (χ²) test value of 3.91 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-squared value of 3.91 is greater than the critical value of 2.37, the null hypothesis is REJECTED.


Your lab partner completed a chi-squared (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?

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

4a63_614c

Table of Chi-Squared (χ²) Critical Values
Degrees of Freedom Probability
0.950.900.750.500.250.100.050.01
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

Phenotype Expected Observed Calculation Statistic
 Yellow Round (Y–R–) 90 80 (80-90)²⁄ 90 1.111
 Yellow Wrinkled (Y–rr) 30 24 (24-30)²⁄ 30 1.200
 Green Round (yyR–) 30 39 (39-30)²⁄ 30 2.700
 Green Wrinkled (yyrr) 10 17 (17-10)²⁄ 10 4.900
(sum) χ² =  9.911

The final result gives the chi-squared (χ²) test value of 9.91 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-squared value of 9.91 is greater than the critical value of 7.81, the null hypothesis is ACCEPTED.


Your lab partner completed a chi-squared (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?

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

3d8c_e968

Table of Chi-Squared (χ²) Critical Values
Degrees of Freedom Probability
0.950.900.750.500.250.100.050.01
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

Phenotype Expected Observed Calculation Statistic
 Yellow Round (Y–R–) 90 99 (99-90)²⁄ 99² 0.008
 Yellow Wrinkled (Y–rr) 30 16 (16-30)²⁄ 16² 0.766
 Green Round (yyR–) 30 37 (37-30)²⁄ 37² 0.036
 Green Wrinkled (yyrr) 10 8 (8-10)²⁄  0.062
(sum) χ² =  0.872

The final result gives the chi-squared (χ²) test value of 0.87 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-squared value of 0.87 is less than the critical value of 7.81, the null hypothesis is ACCEPTED.


Your lab partner completed a chi-squared (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?

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

d2b2_2de7

Table of Chi-Squared (χ²) Critical Values
Degrees of Freedom Probability
0.950.900.750.500.250.100.050.01
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

Phenotype Expected Observed Calculation Statistic
 Yellow Round (Y–R–) 90 79 (79-90)²⁄ 90² 0.015
 Yellow Wrinkled (Y–rr) 30 26 (26-30)²⁄ 30² 0.018
 Green Round (yyR–) 30 51 (51-30)²⁄ 30² 0.490
 Green Wrinkled (yyrr) 10 4 (4-10)²⁄ 10² 0.360
(sum) χ² =  0.883

The final result gives the chi-squared (χ²) test value of 0.88 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-squared value of 0.88 is less than the critical value of 7.81, the null hypothesis is ACCEPTED.


Your lab partner completed a chi-squared (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?

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

35b2_2940

Table of Chi-Squared (χ²) Critical Values
Degrees of Freedom Probability
0.950.900.750.500.250.100.050.01
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

Phenotype Expected Observed Calculation Statistic
 Yellow Round (Y–R–) 90 97 (97-90)²⁄ 90 0.544
 Yellow Wrinkled (Y–rr) 30 15 (15-30)²⁄ 30 7.500
 Green Round (yyR–) 30 43 (43-30)²⁄ 30 5.633
 Green Wrinkled (yyrr) 10 5 (5-10)²⁄ 10 2.500
(sum) χ² =  16.178

The final result gives the chi-squared (χ²) test value of 16.18 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-squared value of 16.18 is greater than the critical value of 2.37, the null hypothesis is REJECTED.


Your lab partner completed a chi-squared (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?

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

7cd7_dcae

Table of Chi-Squared (χ²) Critical Values
Degrees of Freedom Probability
0.950.900.750.500.250.100.050.01
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

Phenotype Expected Observed Calculation Statistic
 Yellow Round (Y–R–) 90 80 (80-90)²⁄ 90 1.111
 Yellow Wrinkled (Y–rr) 30 26 (26-30)²⁄ 30 0.533
 Green Round (yyR–) 30 46 (46-30)²⁄ 30 8.533
 Green Wrinkled (yyrr) 10 8 (8-10)²⁄ 10 0.400
(sum) χ² =  10.578

The final result gives the chi-squared (χ²) test value of 10.58 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-squared value of 10.58 is greater than the critical value of 2.37, the null hypothesis is REJECTED.


Your lab partner completed a chi-squared (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?

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

6e87_7d60

Table of Chi-Squared (χ²) Critical Values
Degrees of Freedom Probability
0.950.900.750.500.250.100.050.01
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

Phenotype Expected Observed Calculation Statistic
 Yellow Round (Y–R–) 90 94 (94-90)²⁄ 94 0.170
 Yellow Wrinkled (Y–rr) 30 19 (19-30)²⁄ 19 6.368
 Green Round (yyR–) 30 40 (40-30)²⁄ 40 2.500
 Green Wrinkled (yyrr) 10 7 (7-10)²⁄ 7 1.286
(sum) χ² =  10.324

The final result gives the chi-squared (χ²) test value of 10.32 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-squared value of 10.32 is greater than the critical value of 7.81, the null hypothesis is REJECTED.


Your lab partner completed a chi-squared (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?

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

fe60_4ca7

Table of Chi-Squared (χ²) Critical Values
Degrees of Freedom Probability
0.950.900.750.500.250.100.050.01
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

Phenotype Expected Observed Calculation Statistic
 Yellow Round (Y–R–) 90 78 (78-90)⁄ 90 -0.133
 Yellow Wrinkled (Y–rr) 30 21 (21-30)⁄ 30 -0.300
 Green Round (yyR–) 30 53 (53-30)⁄ 30 0.767
 Green Wrinkled (yyrr) 10 8 (8-10)⁄ 10 -0.200
(sum) χ² =  0.133

The final result gives the chi-squared (χ²) test value of 0.13 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-squared value of 0.13 is less than the critical value of 7.81, the null hypothesis is ACCEPTED.


Your lab partner completed a chi-squared (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?

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

ec1f_cb08

Table of Chi-Squared (χ²) Critical Values
Degrees of Freedom Probability
0.950.900.750.500.250.100.050.01
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

Phenotype Expected Observed Calculation Statistic
 Yellow Round (Y–R–) 90 84 (84-90)²⁄ 84² 0.005
 Yellow Wrinkled (Y–rr) 30 23 (23-30)²⁄ 23² 0.093
 Green Round (yyR–) 30 46 (46-30)²⁄ 46² 0.121
 Green Wrinkled (yyrr) 10 7 (7-10)²⁄  0.184
(sum) χ² =  0.402

The final result gives the chi-squared (χ²) test value of 0.40 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-squared value of 0.40 is less than the critical value of 7.81, the null hypothesis is ACCEPTED.


Your lab partner completed a chi-squared (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?

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

82ba_d75c

Table of Chi-Squared (χ²) Critical Values
Degrees of Freedom Probability
0.950.900.750.500.250.100.050.01
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

Phenotype Expected Observed Calculation Statistic
 Yellow Round (Y–R–) 90 78 (78-90)²⁄ 90 1.600
 Yellow Wrinkled (Y–rr) 30 21 (21-30)²⁄ 30 2.700
 Green Round (yyR–) 30 53 (53-30)²⁄ 30 17.633
 Green Wrinkled (yyrr) 10 8 (8-10)²⁄ 10 0.400
(sum) χ² =  22.333

The final result gives the chi-squared (χ²) test value of 22.33 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-squared value of 22.33 is greater than the critical value of 5.99, the null hypothesis is REJECTED.


Your lab partner completed a chi-squared (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?

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

6e80_77e4

Table of Chi-Squared (χ²) Critical Values
Degrees of Freedom Probability
0.950.900.750.500.250.100.050.01
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

Phenotype Expected Observed Calculation Statistic
 Yellow Round (Y–R–) 90 93 (93-90)²⁄ 90 0.100
 Yellow Wrinkled (Y–rr) 30 16 (16-30)²⁄ 30 6.533
 Green Round (yyR–) 30 43 (43-30)²⁄ 30 5.633
 Green Wrinkled (yyrr) 10 8 (8-10)²⁄ 10 0.400
(sum) χ² =  12.667

The final result gives the chi-squared (χ²) test value of 12.67 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-squared value of 12.67 is greater than the critical value of 9.49, the null hypothesis is REJECTED.


Your lab partner completed a chi-squared (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?

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

56f0_1fba

Table of Chi-Squared (χ²) Critical Values
Degrees of Freedom Probability
0.950.900.750.500.250.100.050.01
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

Phenotype Expected Observed Calculation Statistic
 Yellow Round (Y–R–) 90 94 (94-90)²⁄ 94² 0.002
 Yellow Wrinkled (Y–rr) 30 20 (20-30)²⁄ 20² 0.250
 Green Round (yyR–) 30 38 (38-30)²⁄ 38² 0.044
 Green Wrinkled (yyrr) 10 8 (8-10)²⁄  0.062
(sum) χ² =  0.359

The final result gives the chi-squared (χ²) test value of 0.36 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-squared value of 0.36 is less than the critical value of 7.81, the null hypothesis is ACCEPTED.


Your lab partner completed a chi-squared (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?

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

05bc_3cdd

Table of Chi-Squared (χ²) Critical Values
Degrees of Freedom Probability
0.950.900.750.500.250.100.050.01
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

Phenotype Expected Observed Calculation Statistic
 Yellow Round (Y–R–) 90 93 (93-90)⁄ 90 0.033
 Yellow Wrinkled (Y–rr) 30 17 (17-30)⁄ 30 -0.433
 Green Round (yyR–) 30 38 (38-30)⁄ 30 0.267
 Green Wrinkled (yyrr) 10 12 (12-10)⁄ 10 0.200
(sum) χ² =  0.067

The final result gives the chi-squared (χ²) test value of 0.07 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-squared value of 0.07 is less than the critical value of 7.81, the null hypothesis is ACCEPTED.


Your lab partner completed a chi-squared (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?

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

3541_7d60

Table of Chi-Squared (χ²) Critical Values
Degrees of Freedom Probability
0.950.900.750.500.250.100.050.01
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

Phenotype Expected Observed Calculation Statistic
 Yellow Round (Y–R–) 90 78 (78-90)²⁄ 90 1.600
 Yellow Wrinkled (Y–rr) 30 17 (17-30)²⁄ 30 5.633
 Green Round (yyR–) 30 52 (52-30)²⁄ 30 16.133
 Green Wrinkled (yyrr) 10 13 (13-10)²⁄ 10 0.900
(sum) χ² =  24.267

The final result gives the chi-squared (χ²) test value of 24.27 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-squared value of 24.27 is greater than the critical value of 5.99, the null hypothesis is REJECTED.


Your lab partner completed a chi-squared (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?

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

cf8c_c51d

Table of Chi-Squared (χ²) Critical Values
Degrees of Freedom Probability
0.950.900.750.500.250.100.050.01
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

Phenotype Expected Observed Calculation Statistic
 Yellow Round (Y–R–) 90 83 (83-90)²⁄ 83² 0.007
 Yellow Wrinkled (Y–rr) 30 29 (29-30)²⁄ 29² 0.001
 Green Round (yyR–) 30 42 (42-30)²⁄ 42² 0.082
 Green Wrinkled (yyrr) 10 6 (6-10)²⁄  0.444
(sum) χ² =  0.534

The final result gives the chi-squared (χ²) test value 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-squared value of 0.53 is less than the critical value of 7.81, the null hypothesis is ACCEPTED.


Your lab partner completed a chi-squared (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?

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

9d43_d75c

Table of Chi-Squared (χ²) Critical Values
Degrees of Freedom Probability
0.950.900.750.500.250.100.050.01
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

Phenotype Expected Observed Calculation Statistic
 Yellow Round (Y–R–) 90 87 (87-90)²⁄ 90² 0.001
 Yellow Wrinkled (Y–rr) 30 24 (24-30)²⁄ 30² 0.040
 Green Round (yyR–) 30 36 (36-30)²⁄ 30² 0.040
 Green Wrinkled (yyrr) 10 13 (13-10)²⁄ 10² 0.090
(sum) χ² =  0.171

The final result gives the chi-squared (χ²) test value of 0.17 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-squared value of 0.17 is less than the critical value of 7.81, the null hypothesis is ACCEPTED.


Your lab partner completed a chi-squared (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?

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

ad52_61c4

Table of Chi-Squared (χ²) Critical Values
Degrees of Freedom Probability
0.950.900.750.500.250.100.050.01
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

Phenotype Expected Observed Calculation Statistic
 Yellow Round (Y–R–) 90 86 (86-90)⁄ 90 -0.044
 Yellow Wrinkled (Y–rr) 30 28 (28-30)⁄ 30 -0.067
 Green Round (yyR–) 30 38 (38-30)⁄ 30 0.267
 Green Wrinkled (yyrr) 10 8 (8-10)⁄ 10 -0.200
(sum) χ² =  -0.044

The final result gives the chi-squared (χ²) test value 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-squared value of -0.04 is less than the critical value of 7.81, the null hypothesis is ACCEPTED.


Your lab partner completed a chi-squared (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?

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

d81f_87a5

Table of Chi-Squared (χ²) Critical Values
Degrees of Freedom Probability
0.950.900.750.500.250.100.050.01
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

Phenotype Expected Observed Calculation Statistic
 Yellow Round (Y–R–) 90 84 (84-90)²⁄ 90 0.400
 Yellow Wrinkled (Y–rr) 30 20 (20-30)²⁄ 30 3.333
 Green Round (yyR–) 30 38 (38-30)²⁄ 30 2.133
 Green Wrinkled (yyrr) 10 18 (18-10)²⁄ 10 6.400
(sum) χ² =  12.267

The final result gives the chi-squared (χ²) test value of 12.27 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-squared value of 12.27 is greater than the critical value of 5.99, the null hypothesis is REJECTED.


Your lab partner completed a chi-squared (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?

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

c4c8_d88b

Table of Chi-Squared (χ²) Critical Values
Degrees of Freedom Probability
0.950.900.750.500.250.100.050.01
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

Phenotype Expected Observed Calculation Statistic
 Yellow Round (Y–R–) 90 94 (94-90)²⁄ 94 0.170
 Yellow Wrinkled (Y–rr) 30 19 (19-30)²⁄ 19 6.368
 Green Round (yyR–) 30 39 (39-30)²⁄ 39 2.077
 Green Wrinkled (yyrr) 10 8 (8-10)²⁄ 8 0.500
(sum) χ² =  9.116

The final result gives the chi-squared (χ²) test value of 9.12 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-squared value of 9.12 is greater than the critical value of 7.81, the null hypothesis is REJECTED.


Your lab partner completed a chi-squared (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?

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

b985_1a62

Table of Chi-Squared (χ²) Critical Values
Degrees of Freedom Probability
0.950.900.750.500.250.100.050.01
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

Phenotype Expected Observed Calculation Statistic
 Yellow Round (Y–R–) 90 85 (85-90)²⁄ 90 0.278
 Yellow Wrinkled (Y–rr) 30 12 (12-30)²⁄ 30 10.800
 Green Round (yyR–) 30 44 (44-30)²⁄ 30 6.533
 Green Wrinkled (yyrr) 10 19 (19-10)²⁄ 10 8.100
(sum) χ² =  25.711

The final result gives the chi-squared (χ²) test value of 25.71 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-squared value of 25.71 is greater than the critical value of 5.99, the null hypothesis is REJECTED.


Your lab partner completed a chi-squared (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?

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

0141_0044

Table of Chi-Squared (χ²) Critical Values
Degrees of Freedom Probability
0.950.900.750.500.250.100.050.01
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

Phenotype Expected Observed Calculation Statistic
 Yellow Round (Y–R–) 90 77 (77-90)²⁄ 90 1.878
 Yellow Wrinkled (Y–rr) 30 26 (26-30)²⁄ 30 0.533
 Green Round (yyR–) 30 45 (45-30)²⁄ 30 7.500
 Green Wrinkled (yyrr) 10 12 (12-10)²⁄ 10 0.400
(sum) χ² =  10.311

The final result gives the chi-squared (χ²) test value of 10.31 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-squared value of 10.31 is greater than the critical value of 7.81, the null hypothesis is ACCEPTED.


Your lab partner completed a chi-squared (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?

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

1464_0044

Table of Chi-Squared (χ²) Critical Values
Degrees of Freedom Probability
0.950.900.750.500.250.100.050.01
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

Phenotype Expected Observed Calculation Statistic
 Yellow Round (Y–R–) 90 85 (85-90)²⁄ 85 0.294
 Yellow Wrinkled (Y–rr) 30 16 (16-30)²⁄ 16 12.250
 Green Round (yyR–) 30 44 (44-30)²⁄ 44 4.455
 Green Wrinkled (yyrr) 10 15 (15-10)²⁄ 15 1.667
(sum) χ² =  18.665

The final result gives the chi-squared (χ²) test value of 18.66 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-squared value of 18.66 is greater than the critical value of 7.81, the null hypothesis is REJECTED.


Your lab partner completed a chi-squared (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?

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

6f30_b649

Table of Chi-Squared (χ²) Critical Values
Degrees of Freedom Probability
0.950.900.750.500.250.100.050.01
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

Phenotype Expected Observed Calculation Statistic
 Yellow Round (Y–R–) 90 95 (95-90)²⁄ 90 0.278
 Yellow Wrinkled (Y–rr) 30 21 (21-30)²⁄ 30 2.700
 Green Round (yyR–) 30 38 (38-30)²⁄ 30 2.133
 Green Wrinkled (yyrr) 10 6 (6-10)²⁄ 10 1.600
(sum) χ² =  6.711

The final result gives the chi-squared (χ²) test value of 6.71 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-squared value of 6.71 is greater than the critical value of 5.99, the null hypothesis is REJECTED.


Your lab partner completed a chi-squared (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?

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

e54a_9559

Table of Chi-Squared (χ²) Critical Values
Degrees of Freedom Probability
0.950.900.750.500.250.100.050.01
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

Phenotype Expected Observed Calculation Statistic
 Yellow Round (Y–R–) 90 104 (104-90)²⁄ 104² 0.018
 Yellow Wrinkled (Y–rr) 30 14 (14-30)²⁄ 14² 1.306
 Green Round (yyR–) 30 34 (34-30)²⁄ 34² 0.014
 Green Wrinkled (yyrr) 10 8 (8-10)²⁄  0.062
(sum) χ² =  1.401

The final result gives the chi-squared (χ²) test value of 1.40 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-squared value of 1.40 is less than the critical value of 7.81, the null hypothesis is ACCEPTED.


Your lab partner completed a chi-squared (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?

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

9815_3710

Table of Chi-Squared (χ²) Critical Values
Degrees of Freedom Probability
0.950.900.750.500.250.100.050.01
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

Phenotype Expected Observed Calculation Statistic
 Yellow Round (Y–R–) 90 93 (93-90)²⁄ 90 0.100
 Yellow Wrinkled (Y–rr) 30 19 (19-30)²⁄ 30 4.033
 Green Round (yyR–) 30 43 (43-30)²⁄ 30 5.633
 Green Wrinkled (yyrr) 10 5 (5-10)²⁄ 10 2.500
(sum) χ² =  12.267

The final result gives the chi-squared (χ²) test value of 12.27 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-squared value of 12.27 is greater than the critical value of 9.49, the null hypothesis is REJECTED.


Your lab partner completed a chi-squared (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?

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

1257_bce3

Table of Chi-Squared (χ²) Critical Values
Degrees of Freedom Probability
0.950.900.750.500.250.100.050.01
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

Phenotype 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 40 (40-30)²⁄ 40 2.500
 Green Wrinkled (yyrr) 10 13 (13-10)²⁄ 13 0.692
(sum) χ² =  4.808

The final result gives the chi-squared (χ²) test value of 4.81 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-squared value of 4.81 is less than the critical value of 7.81, the null hypothesis is ACCEPTED.


Your lab partner completed a chi-squared (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?

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

3ddc_2a76

Table of Chi-Squared (χ²) Critical Values
Degrees of Freedom Probability
0.950.900.750.500.250.100.050.01
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

Phenotype Expected Observed Calculation Statistic
 Yellow Round (Y–R–) 90 80 (80-90)²⁄ 90 1.111
 Yellow Wrinkled (Y–rr) 30 18 (18-30)²⁄ 30 4.800
 Green Round (yyR–) 30 48 (48-30)²⁄ 30 10.800
 Green Wrinkled (yyrr) 10 14 (14-10)²⁄ 10 1.600
(sum) χ² =  18.311

The final result gives the chi-squared (χ²) test value of 18.31 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-squared value of 18.31 is greater than the critical value of 9.49, the null hypothesis is REJECTED.


Your lab partner completed a chi-squared (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?

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

3db4_1a62

Table of Chi-Squared (χ²) Critical Values
Degrees of Freedom Probability
0.950.900.750.500.250.100.050.01
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

Phenotype Expected Observed Calculation Statistic
 Yellow Round (Y–R–) 40 60 (60-40)²⁄ 40 10.000
 Yellow Wrinkled (Y–rr) 40 57 (57-40)²⁄ 40 7.225
 Green Round (yyR–) 40 22 (22-40)²⁄ 40 8.100
 Green Wrinkled (yyrr) 40 21 (21-40)²⁄ 40 9.025
(sum) χ² =  34.350

The final result gives the chi-squared (χ²) test value of 34.35 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-squared value of 34.35 is greater than the critical value of 7.81, the null hypothesis is REJECTED.


Your lab partner completed a chi-squared (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?

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

bd0e_c294

Table of Chi-Squared (χ²) Critical Values
Degrees of Freedom Probability
0.950.900.750.500.250.100.050.01
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

Phenotype Expected Observed Calculation Statistic
 Yellow Round (Y–R–) 90 96 (96-90)²⁄ 90² 0.004
 Yellow Wrinkled (Y–rr) 30 16 (16-30)²⁄ 30² 0.218
 Green Round (yyR–) 30 41 (41-30)²⁄ 30² 0.134
 Green Wrinkled (yyrr) 10 7 (7-10)²⁄ 10² 0.090
(sum) χ² =  0.447

The final result gives the chi-squared (χ²) test value of 0.45 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-squared value of 0.45 is less than the critical value of 7.81, the null hypothesis is ACCEPTED.


Your lab partner completed a chi-squared (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?

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

5535_85f4

Table of Chi-Squared (χ²) Critical Values
Degrees of Freedom Probability
0.950.900.750.500.250.100.050.01
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

Phenotype Expected Observed Calculation Statistic
 Yellow Round (Y–R–) 90 82 (82-90)²⁄ 90² 0.008
 Yellow Wrinkled (Y–rr) 30 22 (22-30)²⁄ 30² 0.071
 Green Round (yyR–) 30 48 (48-30)²⁄ 30² 0.360
 Green Wrinkled (yyrr) 10 8 (8-10)²⁄ 10² 0.040
(sum) χ² =  0.479

The final result gives the chi-squared (χ²) test value of 0.48 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-squared value of 0.48 is less than the critical value of 7.81, the null hypothesis is ACCEPTED.


Your lab partner completed a chi-squared (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?

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

c848_3e8c

Table of Chi-Squared (χ²) Critical Values
Degrees of Freedom Probability
0.950.900.750.500.250.100.050.01
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

Phenotype Expected Observed Calculation Statistic
 Yellow Round (Y–R–) 90 97 (97-90)²⁄ 97² 0.005
 Yellow Wrinkled (Y–rr) 30 9 (9-30)²⁄  5.444
 Green Round (yyR–) 30 42 (42-30)²⁄ 42² 0.082
 Green Wrinkled (yyrr) 10 12 (12-10)²⁄ 12² 0.028
(sum) χ² =  5.559

The final result gives the chi-squared (χ²) test value of 5.56 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-squared value of 5.56 is less than the critical value of 7.81, the null hypothesis is ACCEPTED.


Your lab partner completed a chi-squared (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?

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

4f22_2cc2

Table of Chi-Squared (χ²) Critical Values
Degrees of Freedom Probability
0.950.900.750.500.250.100.050.01
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

Phenotype Expected Observed Calculation Statistic
 Yellow Round (Y–R–) 40 64 (64-40)²⁄ 40 14.400
 Yellow Wrinkled (Y–rr) 40 41 (41-40)²⁄ 40 0.025
 Green Round (yyR–) 40 31 (31-40)²⁄ 40 2.025
 Green Wrinkled (yyrr) 40 24 (24-40)²⁄ 40 6.400
(sum) χ² =  22.850

The final result gives the chi-squared (χ²) test value of 22.85 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-squared value of 22.85 is greater than the critical value of 7.81, the null hypothesis is REJECTED.


Your lab partner completed a chi-squared (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?

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

4527_71e7

Table of Chi-Squared (χ²) Critical Values
Degrees of Freedom Probability
0.950.900.750.500.250.100.050.01
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

Phenotype Expected Observed Calculation Statistic
 Yellow Round (Y–R–) 90 86 (86-90)²⁄ 86² 0.002
 Yellow Wrinkled (Y–rr) 30 21 (21-30)²⁄ 21² 0.184
 Green Round (yyR–) 30 38 (38-30)²⁄ 38² 0.044
 Green Wrinkled (yyrr) 10 15 (15-10)²⁄ 15² 0.111
(sum) χ² =  0.341

The final result gives the chi-squared (χ²) test value 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-squared value of 0.34 is less than the critical value of 7.81, the null hypothesis is ACCEPTED.


Your lab partner completed a chi-squared (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?

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

8cfa_d75c

Table of Chi-Squared (χ²) Critical Values
Degrees of Freedom Probability
0.950.900.750.500.250.100.050.01
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

Phenotype Expected Observed Calculation Statistic
 Yellow Round (Y–R–) 90 86 (86-90)²⁄ 90 0.178
 Yellow Wrinkled (Y–rr) 30 17 (17-30)²⁄ 30 5.633
 Green Round (yyR–) 30 44 (44-30)²⁄ 30 6.533
 Green Wrinkled (yyrr) 10 13 (13-10)²⁄ 10 0.900
(sum) χ² =  13.244

The final result gives the chi-squared (χ²) test value of 13.24 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-squared value of 13.24 is greater than the critical value of 7.81, the null hypothesis is ACCEPTED.


Your lab partner completed a chi-squared (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?

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

558f_d88b

Table of Chi-Squared (χ²) Critical Values
Degrees of Freedom Probability
0.950.900.750.500.250.100.050.01
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

Phenotype Expected Observed Calculation Statistic
 Yellow Round (Y–R–) 90 100 (100-90)⁄ 90 0.111
 Yellow Wrinkled (Y–rr) 30 20 (20-30)⁄ 30 -0.333
 Green Round (yyR–) 30 34 (34-30)⁄ 30 0.133
 Green Wrinkled (yyrr) 10 6 (6-10)⁄ 10 -0.400
(sum) χ² =  -0.489

The final result gives the chi-squared (χ²) test value of -0.49 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-squared value of -0.49 is less than the critical value of 7.81, the null hypothesis is ACCEPTED.


Your lab partner completed a chi-squared (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?

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

ef13_eca8

Table of Chi-Squared (χ²) Critical Values
Degrees of Freedom Probability
0.950.900.750.500.250.100.050.01
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

Phenotype Expected Observed Calculation Statistic
 Yellow Round (Y–R–) 90 95 (95-90)⁄ 90 0.056
 Yellow Wrinkled (Y–rr) 30 19 (19-30)⁄ 30 -0.367
 Green Round (yyR–) 30 40 (40-30)⁄ 30 0.333
 Green Wrinkled (yyrr) 10 6 (6-10)⁄ 10 -0.400
(sum) χ² =  -0.378

The final result gives the chi-squared (χ²) test value of -0.38 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-squared value of -0.38 is less than the critical value of 7.81, the null hypothesis is ACCEPTED.


Your lab partner completed a chi-squared (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?

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

8a76_53b8

Table of Chi-Squared (χ²) Critical Values
Degrees of Freedom Probability
0.950.900.750.500.250.100.050.01
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

Phenotype Expected Observed Calculation Statistic
 Yellow Round (Y–R–) 90 97 (97-90)²⁄ 90 0.544
 Yellow Wrinkled (Y–rr) 30 22 (22-30)²⁄ 30 2.133
 Green Round (yyR–) 30 33 (33-30)²⁄ 30 0.300
 Green Wrinkled (yyrr) 10 8 (8-10)²⁄ 10 0.400
(sum) χ² =  3.378

The final result gives the chi-squared (χ²) test value of 3.38 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-squared value of 3.38 is less than the critical value of 9.49, the null hypothesis is ACCEPTED.


Your lab partner completed a chi-squared (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?

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

2e66_791a

Table of Chi-Squared (χ²) Critical Values
Degrees of Freedom Probability
0.950.900.750.500.250.100.050.01
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

Phenotype Expected Observed Calculation Statistic
 Yellow Round (Y–R–) 90 99 (99-90)²⁄ 90 0.900
 Yellow Wrinkled (Y–rr) 30 21 (21-30)²⁄ 30 2.700
 Green Round (yyR–) 30 32 (32-30)²⁄ 30 0.133
 Green Wrinkled (yyrr) 10 8 (8-10)²⁄ 10 0.400
(sum) χ² =  4.133

The final result gives the chi-squared (χ²) test value of 4.13 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-squared value of 4.13 is less than the critical value of 7.81, the null hypothesis is REJECTED.


Your lab partner completed a chi-squared (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?

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

146f_84a0

Table of Chi-Squared (χ²) Critical Values
Degrees of Freedom Probability
0.950.900.750.500.250.100.050.01
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

Phenotype Expected Observed Calculation Statistic
 Yellow Round (Y–R–) 90 81 (81-90)²⁄ 81² 0.012
 Yellow Wrinkled (Y–rr) 30 20 (20-30)²⁄ 20² 0.250
 Green Round (yyR–) 30 47 (47-30)²⁄ 47² 0.131
 Green Wrinkled (yyrr) 10 12 (12-10)²⁄ 12² 0.028
(sum) χ² =  0.421

The final result gives the chi-squared (χ²) test value of 0.42 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-squared value of 0.42 is less than the critical value of 7.81, the null hypothesis is ACCEPTED.


Your lab partner completed a chi-squared (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?

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

4d7a_d2a0

Table of Chi-Squared (χ²) Critical Values
Degrees of Freedom Probability
0.950.900.750.500.250.100.050.01
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

Phenotype Expected Observed Calculation Statistic
 Yellow Round (Y–R–) 90 93 (93-90)²⁄ 90 0.100
 Yellow Wrinkled (Y–rr) 30 22 (22-30)²⁄ 30 2.133
 Green Round (yyR–) 30 30 (30-30)²⁄ 30 0.000
 Green Wrinkled (yyrr) 10 15 (15-10)²⁄ 10 2.500
(sum) χ² =  4.733

The final result gives the chi-squared (χ²) test value of 4.73 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-squared value of 4.73 is less than the critical value of 9.49, the null hypothesis is ACCEPTED.


Your lab partner completed a chi-squared (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?

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

f49a_5536

Table of Chi-Squared (χ²) Critical Values
Degrees of Freedom Probability
0.950.900.750.500.250.100.050.01
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

Phenotype Expected Observed Calculation Statistic
 Yellow Round (Y–R–) 90 97 (97-90)²⁄ 90 0.544
 Yellow Wrinkled (Y–rr) 30 17 (17-30)²⁄ 30 5.633
 Green Round (yyR–) 30 38 (38-30)²⁄ 30 2.133
 Green Wrinkled (yyrr) 10 8 (8-10)²⁄ 10 0.400
(sum) χ² =  8.711

The final result gives the chi-squared (χ²) test value of 8.71 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-squared value of 8.71 is greater than the critical value of 7.81, the null hypothesis is ACCEPTED.


Your lab partner completed a chi-squared (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?

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

025e_688f

Table of Chi-Squared (χ²) Critical Values
Degrees of Freedom Probability
0.950.900.750.500.250.100.050.01
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

Phenotype Expected Observed Calculation Statistic
 Yellow Round (Y–R–) 90 86 (86-90)²⁄ 90 0.178
 Yellow Wrinkled (Y–rr) 30 16 (16-30)²⁄ 30 6.533
 Green Round (yyR–) 30 42 (42-30)²⁄ 30 4.800
 Green Wrinkled (yyrr) 10 16 (16-10)²⁄ 10 3.600
(sum) χ² =  15.111

The final result gives the chi-squared (χ²) test value of 15.11 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-squared value of 15.11 is greater than the critical value of 5.99, the null hypothesis is REJECTED.


Your lab partner completed a chi-squared (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?

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

7588_0bb0

Table of Chi-Squared (χ²) Critical Values
Degrees of Freedom Probability
0.950.900.750.500.250.100.050.01
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

Phenotype Expected Observed Calculation Statistic
 Yellow Round (Y–R–) 90 95 (95-90)²⁄ 90 0.278
 Yellow Wrinkled (Y–rr) 30 14 (14-30)²⁄ 30 8.533
 Green Round (yyR–) 30 39 (39-30)²⁄ 30 2.700
 Green Wrinkled (yyrr) 10 12 (12-10)²⁄ 10 0.400
(sum) χ² =  11.911

The final result gives the chi-squared (χ²) test value of 11.91 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-squared value of 11.91 is greater than the critical value of 2.37, the null hypothesis is REJECTED.


Your lab partner completed a chi-squared (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?

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

bb84_58c4

Table of Chi-Squared (χ²) Critical Values
Degrees of Freedom Probability
0.950.900.750.500.250.100.050.01
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

Phenotype Expected Observed Calculation Statistic
 Yellow Round (Y–R–) 90 94 (94-90)²⁄ 90 0.178
 Yellow Wrinkled (Y–rr) 30 23 (23-30)²⁄ 30 1.633
 Green Round (yyR–) 30 28 (28-30)²⁄ 30 0.133
 Green Wrinkled (yyrr) 10 15 (15-10)²⁄ 10 2.500
(sum) χ² =  4.444

The final result gives the chi-squared (χ²) test value of 4.44 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-squared value of 4.44 is greater than the critical value of 2.37, the null hypothesis is REJECTED.


Your lab partner completed a chi-squared (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?

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

1bad_7153

Table of Chi-Squared (χ²) Critical Values
Degrees of Freedom Probability
0.950.900.750.500.250.100.050.01
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

Phenotype Expected Observed Calculation Statistic
 Yellow Round (Y–R–) 90 80 (80-90)²⁄ 90 1.111
 Yellow Wrinkled (Y–rr) 30 27 (27-30)²⁄ 30 0.300
 Green Round (yyR–) 30 40 (40-30)²⁄ 30 3.333
 Green Wrinkled (yyrr) 10 13 (13-10)²⁄ 10 0.900
(sum) χ² =  5.644

The final result gives the chi-squared (χ²) test value of 5.64 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-squared value of 5.64 is less than the critical value of 9.49, the null hypothesis is ACCEPTED.


Your lab partner completed a chi-squared (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?

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

ffb0_2cc2

Table of Chi-Squared (χ²) Critical Values
Degrees of Freedom Probability
0.950.900.750.500.250.100.050.01
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

Phenotype Expected Observed Calculation Statistic
 Yellow Round (Y–R–) 90 97 (97-90)²⁄ 90² 0.006
 Yellow Wrinkled (Y–rr) 30 15 (15-30)²⁄ 30² 0.250
 Green Round (yyR–) 30 40 (40-30)²⁄ 30² 0.111
 Green Wrinkled (yyrr) 10 8 (8-10)²⁄ 10² 0.040
(sum) χ² =  0.407

The final result gives the chi-squared (χ²) test value of 0.41 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-squared value of 0.41 is less than the critical value of 7.81, the null hypothesis is ACCEPTED.


Your lab partner completed a chi-squared (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?

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

39b1_d87e

Table of Chi-Squared (χ²) Critical Values
Degrees of Freedom Probability
0.950.900.750.500.250.100.050.01
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

Phenotype Expected Observed Calculation Statistic
 Yellow Round (Y–R–) 90 93 (93-90)²⁄ 90 0.100
 Yellow Wrinkled (Y–rr) 30 17 (17-30)²⁄ 30 5.633
 Green Round (yyR–) 30 34 (34-30)²⁄ 30 0.533
 Green Wrinkled (yyrr) 10 16 (16-10)²⁄ 10 3.600
(sum) χ² =  9.867

The final result gives the chi-squared (χ²) test value of 9.87 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-squared value of 9.87 is greater than the critical value of 5.99, the null hypothesis is REJECTED.


Your lab partner completed a chi-squared (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?

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

8ccb_8e9a

Table of Chi-Squared (χ²) Critical Values
Degrees of Freedom Probability
0.950.900.750.500.250.100.050.01
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

Phenotype Expected Observed Calculation Statistic
 Yellow Round (Y–R–) 90 103 (103-90)²⁄ 103 1.641
 Yellow Wrinkled (Y–rr) 30 15 (15-30)²⁄ 15 15.000
 Green Round (yyR–) 30 30 (30-30)²⁄ 30 0.000
 Green Wrinkled (yyrr) 10 12 (12-10)²⁄ 12 0.333
(sum) χ² =  16.974

The final result gives the chi-squared (χ²) test value of 16.97 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-squared value of 16.97 is greater than the critical value of 7.81, the null hypothesis is REJECTED.


Your lab partner completed a chi-squared (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?

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

4081_87a5

Table of Chi-Squared (χ²) Critical Values
Degrees of Freedom Probability
0.950.900.750.500.250.100.050.01
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

Phenotype Expected Observed Calculation Statistic
 Yellow Round (Y–R–) 90 97 (97-90)²⁄ 97² 0.005
 Yellow Wrinkled (Y–rr) 30 19 (19-30)²⁄ 19² 0.335
 Green Round (yyR–) 30 36 (36-30)²⁄ 36² 0.028
 Green Wrinkled (yyrr) 10 8 (8-10)²⁄  0.062
(sum) χ² =  0.431

The final result gives the chi-squared (χ²) test value 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-squared value of 0.43 is less than the critical value of 7.81, the null hypothesis is ACCEPTED.


Your lab partner completed a chi-squared (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?

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

913b_71e7

Table of Chi-Squared (χ²) Critical Values
Degrees of Freedom Probability
0.950.900.750.500.250.100.050.01
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

Phenotype Expected Observed Calculation Statistic
 Yellow Round (Y–R–) 90 85 (85-90)²⁄ 90² 0.003
 Yellow Wrinkled (Y–rr) 30 17 (17-30)²⁄ 30² 0.188
 Green Round (yyR–) 30 50 (50-30)²⁄ 30² 0.444
 Green Wrinkled (yyrr) 10 8 (8-10)²⁄ 10² 0.040
(sum) χ² =  0.675

The final result gives the chi-squared (χ²) test value of 0.68 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-squared value of 0.68 is less than the critical value of 7.81, the null hypothesis is ACCEPTED.


Your lab partner completed a chi-squared (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?

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

b4f2_b91c

Table of Chi-Squared (χ²) Critical Values
Degrees of Freedom Probability
0.950.900.750.500.250.100.050.01
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

Phenotype Expected Observed Calculation Statistic
 Yellow Round (Y–R–) 40 54 (54-40)²⁄ 40 4.900
 Yellow Wrinkled (Y–rr) 40 50 (50-40)²⁄ 40 2.500
 Green Round (yyR–) 40 33 (33-40)²⁄ 40 1.225
 Green Wrinkled (yyrr) 40 23 (23-40)²⁄ 40 7.225
(sum) χ² =  15.850

The final result gives the chi-squared (χ²) test value of 15.85 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-squared value of 15.85 is greater than the critical value of 7.81, the null hypothesis is REJECTED.


Your lab partner completed a chi-squared (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?

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

e992_c51d

Table of Chi-Squared (χ²) Critical Values
Degrees of Freedom Probability
0.950.900.750.500.250.100.050.01
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

Phenotype Expected Observed Calculation Statistic
 Yellow Round (Y–R–) 40 64 (64-40)²⁄ 40 14.400
 Yellow Wrinkled (Y–rr) 40 50 (50-40)²⁄ 40 2.500
 Green Round (yyR–) 40 25 (25-40)²⁄ 40 5.625
 Green Wrinkled (yyrr) 40 21 (21-40)²⁄ 40 9.025
(sum) χ² =  31.550

The final result gives the chi-squared (χ²) test value of 31.55 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-squared value of 31.55 is greater than the critical value of 7.81, the null hypothesis is REJECTED.


Your lab partner completed a chi-squared (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?

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

7f1f_1a62

Table of Chi-Squared (χ²) Critical Values
Degrees of Freedom Probability
0.950.900.750.500.250.100.050.01
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

Phenotype Expected Observed Calculation Statistic
 Yellow Round (Y–R–) 90 86 (86-90)²⁄ 90 0.178
 Yellow Wrinkled (Y–rr) 30 25 (25-30)²⁄ 30 0.833
 Green Round (yyR–) 30 36 (36-30)²⁄ 30 1.200
 Green Wrinkled (yyrr) 10 13 (13-10)²⁄ 10 0.900
(sum) χ² =  3.111

The final result gives the chi-squared (χ²) test value of 3.11 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-squared value of 3.11 is less than the critical value of 9.49, the null hypothesis is ACCEPTED.


Your lab partner completed a chi-squared (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?

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

9b1b_6113

Table of Chi-Squared (χ²) Critical Values
Degrees of Freedom Probability
0.950.900.750.500.250.100.050.01
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

Phenotype Expected Observed Calculation Statistic
 Yellow Round (Y–R–) 90 82 (82-90)²⁄ 90 0.711
 Yellow Wrinkled (Y–rr) 30 20 (20-30)²⁄ 30 3.333
 Green Round (yyR–) 30 43 (43-30)²⁄ 30 5.633
 Green Wrinkled (yyrr) 10 15 (15-10)²⁄ 10 2.500
(sum) χ² =  12.178

The final result gives the chi-squared (χ²) test value of 12.18 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-squared value of 12.18 is greater than the critical value of 7.81, the null hypothesis is ACCEPTED.


Your lab partner completed a chi-squared (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?

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

36f2_f5b2

Table of Chi-Squared (χ²) Critical Values
Degrees of Freedom Probability
0.950.900.750.500.250.100.050.01
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

Phenotype Expected Observed Calculation Statistic
 Yellow Round (Y–R–) 90 95 (95-90)²⁄ 95 0.263
 Yellow Wrinkled (Y–rr) 30 24 (24-30)²⁄ 24 1.500
 Green Round (yyR–) 30 33 (33-30)²⁄ 33 0.273
 Green Wrinkled (yyrr) 10 8 (8-10)²⁄ 8 0.500
(sum) χ² =  2.536

The final result gives the chi-squared (χ²) test value of 2.54 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-squared value of 2.54 is less than the critical value of 7.81, the null hypothesis is ACCEPTED.


Your lab partner completed a chi-squared (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?

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

8ed2_d9e5

Table of Chi-Squared (χ²) Critical Values
Degrees of Freedom Probability
0.950.900.750.500.250.100.050.01
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

Phenotype Expected Observed Calculation Statistic
 Yellow Round (Y–R–) 90 95 (95-90)²⁄ 95² 0.003
 Yellow Wrinkled (Y–rr) 30 24 (24-30)²⁄ 24² 0.062
 Green Round (yyR–) 30 28 (28-30)²⁄ 28² 0.005
 Green Wrinkled (yyrr) 10 13 (13-10)²⁄ 13² 0.053
(sum) χ² =  0.124

The final result gives the chi-squared (χ²) test value of 0.12 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-squared value of 0.12 is less than the critical value of 7.81, the null hypothesis is ACCEPTED.


Your lab partner completed a chi-squared (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?

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

0dd4_7799

Table of Chi-Squared (χ²) Critical Values
Degrees of Freedom Probability
0.950.900.750.500.250.100.050.01
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

Phenotype Expected Observed Calculation Statistic
 Yellow Round (Y–R–) 90 81 (81-90)²⁄ 81 1.000
 Yellow Wrinkled (Y–rr) 30 19 (19-30)²⁄ 19 6.368
 Green Round (yyR–) 30 46 (46-30)²⁄ 46 5.565
 Green Wrinkled (yyrr) 10 14 (14-10)²⁄ 14 1.143
(sum) χ² =  14.076

The final result gives the chi-squared (χ²) test value of 14.08 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-squared value of 14.08 is greater than the critical value of 7.81, the null hypothesis is REJECTED.


Your lab partner completed a chi-squared (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?

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

143e_52ec

Table of Chi-Squared (χ²) Critical Values
Degrees of Freedom Probability
0.950.900.750.500.250.100.050.01
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

Phenotype Expected Observed Calculation Statistic
 Yellow Round (Y–R–) 90 86 (86-90)²⁄ 86 0.186
 Yellow Wrinkled (Y–rr) 30 19 (19-30)²⁄ 19 6.368
 Green Round (yyR–) 30 47 (47-30)²⁄ 47 6.149
 Green Wrinkled (yyrr) 10 8 (8-10)²⁄ 8 0.500
(sum) χ² =  13.203

The final result gives the chi-squared (χ²) test value of 13.20 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-squared value of 13.20 is greater than the critical value of 7.81, the null hypothesis is REJECTED.


Your lab partner completed a chi-squared (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?

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

064a_688f

Table of Chi-Squared (χ²) Critical Values
Degrees of Freedom Probability
0.950.900.750.500.250.100.050.01
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

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

The final result gives the chi-squared (χ²) test value 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-squared value of 5.27 is greater than the critical value of 2.37, the null hypothesis is REJECTED.


Your lab partner completed a chi-squared (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?

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

45cf_4ca7

Table of Chi-Squared (χ²) Critical Values
Degrees of Freedom Probability
0.950.900.750.500.250.100.050.01
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

Phenotype Expected Observed Calculation Statistic
 Yellow Round (Y–R–) 90 97 (97-90)⁄ 90 0.078
 Yellow Wrinkled (Y–rr) 30 15 (15-30)⁄ 30 -0.500
 Green Round (yyR–) 30 40 (40-30)⁄ 30 0.333
 Green Wrinkled (yyrr) 10 8 (8-10)⁄ 10 -0.200
(sum) χ² =  -0.289

The final result gives the chi-squared (χ²) test value of -0.29 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-squared value of -0.29 is less than the critical value of 7.81, the null hypothesis is ACCEPTED.


Your lab partner completed a chi-squared (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?

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

f3c7_dca8

Table of Chi-Squared (χ²) Critical Values
Degrees of Freedom Probability
0.950.900.750.500.250.100.050.01
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

Phenotype Expected Observed Calculation Statistic
 Yellow Round (Y–R–) 90 100 (100-90)²⁄ 90² 0.012
 Yellow Wrinkled (Y–rr) 30 18 (18-30)²⁄ 30² 0.160
 Green Round (yyR–) 30 36 (36-30)²⁄ 30² 0.040
 Green Wrinkled (yyrr) 10 6 (6-10)²⁄ 10² 0.160
(sum) χ² =  0.372

The final result gives the chi-squared (χ²) test value of 0.37 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-squared value of 0.37 is less than the critical value of 7.81, the null hypothesis is ACCEPTED.


Your lab partner completed a chi-squared (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?

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

441e_6003

Table of Chi-Squared (χ²) Critical Values
Degrees of Freedom Probability
0.950.900.750.500.250.100.050.01
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

Phenotype Expected Observed Calculation Statistic
 Yellow Round (Y–R–) 90 98 (98-90)²⁄ 90 0.711
 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 4 (4-10)²⁄ 10 3.600
(sum) χ² =  5.444

The final result gives the chi-squared (χ²) test value of 5.44 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-squared value of 5.44 is less than the critical value of 9.49, the null hypothesis is ACCEPTED.


Your lab partner completed a chi-squared (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?

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

3cdc_3a6a

Table of Chi-Squared (χ²) Critical Values
Degrees of Freedom Probability
0.950.900.750.500.250.100.050.01
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

Phenotype Expected Observed Calculation Statistic
 Yellow Round (Y–R–) 90 100 (100-90)²⁄ 100 1.000
 Yellow Wrinkled (Y–rr) 30 18 (18-30)²⁄ 18 8.000
 Green Round (yyR–) 30 35 (35-30)²⁄ 35 0.714
 Green Wrinkled (yyrr) 10 7 (7-10)²⁄ 7 1.286
(sum) χ² =  11.000

The final result gives the chi-squared (χ²) test value of 11.00 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-squared value of 11.00 is greater than the critical value of 7.81, the null hypothesis is REJECTED.


Your lab partner completed a chi-squared (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?

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

3edd_dcae

Table of Chi-Squared (χ²) Critical Values
Degrees of Freedom Probability
0.950.900.750.500.250.100.050.01
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

Phenotype Expected Observed Calculation Statistic
 Yellow Round (Y–R–) 90 82 (82-90)²⁄ 82² 0.010
 Yellow Wrinkled (Y–rr) 30 22 (22-30)²⁄ 22² 0.132
 Green Round (yyR–) 30 41 (41-30)²⁄ 41² 0.072
 Green Wrinkled (yyrr) 10 15 (15-10)²⁄ 15² 0.111
(sum) χ² =  0.325

The final result gives the chi-squared (χ²) test value 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-squared value of 0.33 is less than the critical value of 7.81, the null hypothesis is ACCEPTED.


Your lab partner completed a chi-squared (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?

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

c383_9559

Table of Chi-Squared (χ²) Critical Values
Degrees of Freedom Probability
0.950.900.750.500.250.100.050.01
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

Phenotype Expected Observed Calculation Statistic
 Yellow Round (Y–R–) 90 96 (96-90)²⁄ 90 0.400
 Yellow Wrinkled (Y–rr) 30 19 (19-30)²⁄ 30 4.033
 Green Round (yyR–) 30 33 (33-30)²⁄ 30 0.300
 Green Wrinkled (yyrr) 10 12 (12-10)²⁄ 10 0.400
(sum) χ² =  5.133

The final result gives the chi-squared (χ²) test value of 5.13 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-squared value of 5.13 is less than the critical value of 9.49, the null hypothesis is ACCEPTED.


Your lab partner completed a chi-squared (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?

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

fa50_7153

Table of Chi-Squared (χ²) Critical Values
Degrees of Freedom Probability
0.950.900.750.500.250.100.050.01
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

Phenotype Expected Observed Calculation Statistic
 Yellow Round (Y–R–) 90 95 (95-90)²⁄ 90 0.278
 Yellow Wrinkled (Y–rr) 30 20 (20-30)²⁄ 30 3.333
 Green Round (yyR–) 30 38 (38-30)²⁄ 30 2.133
 Green Wrinkled (yyrr) 10 7 (7-10)²⁄ 10 0.900
(sum) χ² =  6.644

The final result gives the chi-squared (χ²) test value of 6.64 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-squared value of 6.64 is greater than the critical value of 5.99, the null hypothesis is REJECTED.


Your lab partner completed a chi-squared (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?

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

7320_9559

Table of Chi-Squared (χ²) Critical Values
Degrees of Freedom Probability
0.950.900.750.500.250.100.050.01
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

Phenotype Expected Observed Calculation Statistic
 Yellow Round (Y–R–) 90 98 (98-90)²⁄ 90 0.711
 Yellow Wrinkled (Y–rr) 30 14 (14-30)²⁄ 30 8.533
 Green Round (yyR–) 30 34 (34-30)²⁄ 30 0.533
 Green Wrinkled (yyrr) 10 14 (14-10)²⁄ 10 1.600
(sum) χ² =  11.378

The final result gives the chi-squared (χ²) test value of 11.38 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-squared value of 11.38 is greater than the critical value of 9.49, the null hypothesis is REJECTED.


Your lab partner completed a chi-squared (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?

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

8698_d87e

Table of Chi-Squared (χ²) Critical Values
Degrees of Freedom Probability
0.950.900.750.500.250.100.050.01
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

Phenotype Expected Observed Calculation Statistic
 Yellow Round (Y–R–) 90 85 (85-90)²⁄ 85² 0.003
 Yellow Wrinkled (Y–rr) 30 21 (21-30)²⁄ 21² 0.184
 Green Round (yyR–) 30 36 (36-30)²⁄ 36² 0.028
 Green Wrinkled (yyrr) 10 18 (18-10)²⁄ 18² 0.198
(sum) χ² =  0.412

The final result gives the chi-squared (χ²) test value of 0.41 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-squared value of 0.41 is less than the critical value of 7.81, the null hypothesis is ACCEPTED.


Your lab partner completed a chi-squared (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?

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

0272_7c70

Table of Chi-Squared (χ²) Critical Values
Degrees of Freedom Probability
0.950.900.750.500.250.100.050.01
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

Phenotype Expected Observed Calculation Statistic
 Yellow Round (Y–R–) 90 80 (80-90)²⁄ 90 1.111
 Yellow Wrinkled (Y–rr) 30 17 (17-30)²⁄ 30 5.633
 Green Round (yyR–) 30 45 (45-30)²⁄ 30 7.500
 Green Wrinkled (yyrr) 10 18 (18-10)²⁄ 10 6.400
(sum) χ² =  20.644

The final result gives the chi-squared (χ²) test value of 20.64 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-squared value of 20.64 is greater than the critical value of 7.81, the null hypothesis is ACCEPTED.


Your lab partner completed a chi-squared (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?

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

bcea_1a70

Table of Chi-Squared (χ²) Critical Values
Degrees of Freedom Probability
0.950.900.750.500.250.100.050.01
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

Phenotype Expected Observed Calculation Statistic
 Yellow Round (Y–R–) 90 86 (86-90)²⁄ 90 0.178
 Yellow Wrinkled (Y–rr) 30 18 (18-30)²⁄ 30 4.800
 Green Round (yyR–) 30 37 (37-30)²⁄ 30 1.633
 Green Wrinkled (yyrr) 10 19 (19-10)²⁄ 10 8.100
(sum) χ² =  14.711

The final result gives the chi-squared (χ²) test value of 14.71 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-squared value of 14.71 is greater than the critical value of 9.49, the null hypothesis is REJECTED.


Your lab partner completed a chi-squared (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?

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

2d0f_b848

Table of Chi-Squared (χ²) Critical Values
Degrees of Freedom Probability
0.950.900.750.500.250.100.050.01
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

Phenotype Expected Observed Calculation Statistic
 Yellow Round (Y–R–) 90 86 (86-90)²⁄ 86 0.186
 Yellow Wrinkled (Y–rr) 30 28 (28-30)²⁄ 28 0.143
 Green Round (yyR–) 30 39 (39-30)²⁄ 39 2.077
 Green Wrinkled (yyrr) 10 7 (7-10)²⁄ 7 1.286
(sum) χ² =  3.692

The final result gives the chi-squared (χ²) test value of 3.69 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-squared value of 3.69 is less than the critical value of 7.81, the null hypothesis is ACCEPTED.


Your lab partner completed a chi-squared (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?

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

7b82_6003

Table of Chi-Squared (χ²) Critical Values
Degrees of Freedom Probability
0.950.900.750.500.250.100.050.01
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

Phenotype Expected Observed Calculation Statistic
 Yellow Round (Y–R–) 90 96 (96-90)²⁄ 90² 0.004
 Yellow Wrinkled (Y–rr) 30 18 (18-30)²⁄ 30² 0.160
 Green Round (yyR–) 30 39 (39-30)²⁄ 30² 0.090
 Green Wrinkled (yyrr) 10 7 (7-10)²⁄ 10² 0.090
(sum) χ² =  0.344

The final result gives the chi-squared (χ²) test value 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-squared value of 0.34 is less than the critical value of 7.81, the null hypothesis is ACCEPTED.


Your lab partner completed a chi-squared (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?

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

95ac_2a76

Table of Chi-Squared (χ²) Critical Values
Degrees of Freedom Probability
0.950.900.750.500.250.100.050.01
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

Phenotype Expected Observed Calculation Statistic
 Yellow Round (Y–R–) 90 84 (84-90)²⁄ 90 0.400
 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 16 (16-10)²⁄ 10 3.600
(sum) χ² =  15.267

The final result gives the chi-squared (χ²) test value of 15.27 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-squared value of 15.27 is greater than the critical value of 2.37, the null hypothesis is REJECTED.


Your lab partner completed a chi-squared (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?

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

a45f_01b0

Table of Chi-Squared (χ²) Critical Values
Degrees of Freedom Probability
0.950.900.750.500.250.100.050.01
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

Phenotype Expected Observed Calculation Statistic
 Yellow Round (Y–R–) 90 96 (96-90)²⁄ 96 0.375
 Yellow Wrinkled (Y–rr) 30 20 (20-30)²⁄ 20 5.000
 Green Round (yyR–) 30 32 (32-30)²⁄ 32 0.125
 Green Wrinkled (yyrr) 10 12 (12-10)²⁄ 12 0.333
(sum) χ² =  5.833

The final result gives the chi-squared (χ²) test value of 5.83 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-squared value of 5.83 is less than the critical value of 7.81, the null hypothesis is ACCEPTED.


Your lab partner completed a chi-squared (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?

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

4614_85f4

Table of Chi-Squared (χ²) Critical Values
Degrees of Freedom Probability
0.950.900.750.500.250.100.050.01
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

Phenotype Expected Observed Calculation Statistic
 Yellow Round (Y–R–) 90 86 (86-90)²⁄ 90 0.178
 Yellow Wrinkled (Y–rr) 30 17 (17-30)²⁄ 30 5.633
 Green Round (yyR–) 30 45 (45-30)²⁄ 30 7.500
 Green Wrinkled (yyrr) 10 12 (12-10)²⁄ 10 0.400
(sum) χ² =  13.711

The final result gives the chi-squared (χ²) test value of 13.71 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-squared value of 13.71 is greater than the critical value of 7.81, the null hypothesis is ACCEPTED.


Your lab partner completed a chi-squared (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?

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

f49f_7714

Table of Chi-Squared (χ²) Critical Values
Degrees of Freedom Probability
0.950.900.750.500.250.100.050.01
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

Phenotype Expected Observed Calculation Statistic
 Yellow Round (Y–R–) 90 87 (87-90)²⁄ 90 0.100
 Yellow Wrinkled (Y–rr) 30 24 (24-30)²⁄ 30 1.200
 Green Round (yyR–) 30 43 (43-30)²⁄ 30 5.633
 Green Wrinkled (yyrr) 10 6 (6-10)²⁄ 10 1.600
(sum) χ² =  8.533

The final result gives the chi-squared (χ²) test value of 8.53 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-squared value of 8.53 is greater than the critical value of 2.37, the null hypothesis is REJECTED.


Your lab partner completed a chi-squared (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?

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

d8a6_5536

Table of Chi-Squared (χ²) Critical Values
Degrees of Freedom Probability
0.950.900.750.500.250.100.050.01
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

Phenotype Expected Observed Calculation Statistic
 Yellow Round (Y–R–) 90 97 (97-90)²⁄ 97² 0.005
 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 14 (14-10)²⁄ 14² 0.082
(sum) χ² =  0.676

The final result gives the chi-squared (χ²) test value of 0.68 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-squared value of 0.68 is less than the critical value of 7.81, the null hypothesis is ACCEPTED.


Your lab partner completed a chi-squared (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?

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

3403_53c5

Table of Chi-Squared (χ²) Critical Values
Degrees of Freedom Probability
0.950.900.750.500.250.100.050.01
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

Phenotype Expected Observed Calculation Statistic
 Yellow Round (Y–R–) 90 84 (84-90)²⁄ 90 0.400
 Yellow Wrinkled (Y–rr) 30 16 (16-30)²⁄ 30 6.533
 Green Round (yyR–) 30 47 (47-30)²⁄ 30 9.633
 Green Wrinkled (yyrr) 10 13 (13-10)²⁄ 10 0.900
(sum) χ² =  17.467

The final result gives the chi-squared (χ²) test value of 17.47 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-squared value of 17.47 is greater than the critical value of 2.37, the null hypothesis is REJECTED.


Your lab partner completed a chi-squared (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?

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

e916_18aa

Table of Chi-Squared (χ²) Critical Values
Degrees of Freedom Probability
0.950.900.750.500.250.100.050.01
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

Phenotype Expected Observed Calculation Statistic
 Yellow Round (Y–R–) 90 101 (101-90)²⁄ 101² 0.012
 Yellow Wrinkled (Y–rr) 30 17 (17-30)²⁄ 17² 0.585
 Green Round (yyR–) 30 36 (36-30)²⁄ 36² 0.028
 Green Wrinkled (yyrr) 10 6 (6-10)²⁄  0.444
(sum) χ² =  1.069

The final result gives the chi-squared (χ²) test value of 1.07 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-squared value of 1.07 is less than the critical value of 7.81, the null hypothesis is ACCEPTED.


Your lab partner completed a chi-squared (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?

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

ac5d_d5e6

Table of Chi-Squared (χ²) Critical Values
Degrees of Freedom Probability
0.950.900.750.500.250.100.050.01
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

Phenotype Expected Observed Calculation Statistic
 Yellow Round (Y–R–) 90 96 (96-90)²⁄ 90² 0.004
 Yellow Wrinkled (Y–rr) 30 21 (21-30)²⁄ 30² 0.090
 Green Round (yyR–) 30 37 (37-30)²⁄ 30² 0.054
 Green Wrinkled (yyrr) 10 6 (6-10)²⁄ 10² 0.160
(sum) χ² =  0.309

The final result gives the chi-squared (χ²) test value of 0.31 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-squared value of 0.31 is less than the critical value of 7.81, the null hypothesis is ACCEPTED.


Your lab partner completed a chi-squared (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?

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

618e_87a5

Table of Chi-Squared (χ²) Critical Values
Degrees of Freedom Probability
0.950.900.750.500.250.100.050.01
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

Phenotype Expected Observed Calculation Statistic
 Yellow Round (Y–R–) 90 84 (84-90)²⁄ 90 0.400
 Yellow Wrinkled (Y–rr) 30 12 (12-30)²⁄ 30 10.800
 Green Round (yyR–) 30 51 (51-30)²⁄ 30 14.700
 Green Wrinkled (yyrr) 10 13 (13-10)²⁄ 10 0.900
(sum) χ² =  26.800

The final result gives the chi-squared (χ²) test value of 26.80 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-squared value of 26.80 is greater than the critical value of 5.99, the null hypothesis is REJECTED.


Your lab partner completed a chi-squared (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?

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

91dd_ccb8

Table of Chi-Squared (χ²) Critical Values
Degrees of Freedom Probability
0.950.900.750.500.250.100.050.01
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

Phenotype Expected Observed Calculation Statistic
 Yellow Round (Y–R–) 40 58 (58-40)²⁄ 40 8.100
 Yellow Wrinkled (Y–rr) 40 45 (45-40)²⁄ 40 0.625
 Green Round (yyR–) 40 33 (33-40)²⁄ 40 1.225
 Green Wrinkled (yyrr) 40 24 (24-40)²⁄ 40 6.400
(sum) χ² =  16.350

The final result gives the chi-squared (χ²) test value of 16.35 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-squared value of 16.35 is greater than the critical value of 7.81, the null hypothesis is REJECTED.


Your lab partner completed a chi-squared (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?

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

b475_71e7

Table of Chi-Squared (χ²) Critical Values
Degrees of Freedom Probability
0.950.900.750.500.250.100.050.01
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

Phenotype Expected Observed Calculation Statistic
 Yellow Round (Y–R–) 90 87 (87-90)²⁄ 90² 0.001
 Yellow Wrinkled (Y–rr) 30 26 (26-30)²⁄ 30² 0.018
 Green Round (yyR–) 30 42 (42-30)²⁄ 30² 0.160
 Green Wrinkled (yyrr) 10 5 (5-10)²⁄ 10² 0.250
(sum) χ² =  0.429

The final result gives the chi-squared (χ²) test value 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-squared value of 0.43 is less than the critical value of 7.81, the null hypothesis is ACCEPTED.


Your lab partner completed a chi-squared (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?

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

e9bb_d19c

Table of Chi-Squared (χ²) Critical Values
Degrees of Freedom Probability
0.950.900.750.500.250.100.050.01
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

Phenotype Expected Observed Calculation Statistic
 Yellow Round (Y–R–) 90 87 (87-90)⁄ 90 -0.033
 Yellow Wrinkled (Y–rr) 30 15 (15-30)⁄ 30 -0.500
 Green Round (yyR–) 30 44 (44-30)⁄ 30 0.467
 Green Wrinkled (yyrr) 10 14 (14-10)⁄ 10 0.400
(sum) χ² =  0.333

The final result gives the chi-squared (χ²) test value 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-squared value of 0.33 is less than the critical value of 7.81, the null hypothesis is ACCEPTED.


Your lab partner completed a chi-squared (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?

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

565d_292a

Table of Chi-Squared (χ²) Critical Values
Degrees of Freedom Probability
0.950.900.750.500.250.100.050.01
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

Phenotype Expected Observed Calculation Statistic
 Yellow Round (Y–R–) 90 97 (97-90)²⁄ 97² 0.005
 Yellow Wrinkled (Y–rr) 30 16 (16-30)²⁄ 16² 0.766
 Green Round (yyR–) 30 39 (39-30)²⁄ 39² 0.053
 Green Wrinkled (yyrr) 10 8 (8-10)²⁄  0.062
(sum) χ² =  0.887

The final result gives the chi-squared (χ²) test value of 0.89 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-squared value of 0.89 is less than the critical value of 7.81, the null hypothesis is ACCEPTED.


Your lab partner completed a chi-squared (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?

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

5438_7d60

Table of Chi-Squared (χ²) Critical Values
Degrees of Freedom Probability
0.950.900.750.500.250.100.050.01
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

Phenotype Expected Observed Calculation Statistic
 Yellow Round (Y–R–) 90 83 (83-90)²⁄ 90 0.544
 Yellow Wrinkled (Y–rr) 30 18 (18-30)²⁄ 30 4.800
 Green Round (yyR–) 30 46 (46-30)²⁄ 30 8.533
 Green Wrinkled (yyrr) 10 13 (13-10)²⁄ 10 0.900
(sum) χ² =  14.778

The final result gives the chi-squared (χ²) test value of 14.78 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-squared value of 14.78 is greater than the critical value of 2.37, the null hypothesis is REJECTED.


Your lab partner completed a chi-squared (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?

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

09ee_3cdd

Table of Chi-Squared (χ²) Critical Values
Degrees of Freedom Probability
0.950.900.750.500.250.100.050.01
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

Phenotype Expected Observed Calculation Statistic
 Yellow Round (Y–R–) 90 100 (100-90)²⁄ 100² 0.010
 Yellow Wrinkled (Y–rr) 30 19 (19-30)²⁄ 19² 0.335
 Green Round (yyR–) 30 37 (37-30)²⁄ 37² 0.036
 Green Wrinkled (yyrr) 10 4 (4-10)²⁄  2.250
(sum) χ² =  2.631

The final result gives the chi-squared (χ²) test value of 2.63 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-squared value of 2.63 is less than the critical value of 7.81, the null hypothesis is ACCEPTED.


Your lab partner completed a chi-squared (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?

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

bc29_ba51

Table of Chi-Squared (χ²) Critical Values
Degrees of Freedom Probability
0.950.900.750.500.250.100.050.01
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

Phenotype Expected Observed Calculation Statistic
 Yellow Round (Y–R–) 90 84 (84-90)²⁄ 84 0.429
 Yellow Wrinkled (Y–rr) 30 15 (15-30)²⁄ 15 15.000
 Green Round (yyR–) 30 45 (45-30)²⁄ 45 5.000
 Green Wrinkled (yyrr) 10 16 (16-10)²⁄ 16 2.250
(sum) χ² =  22.679

The final result gives the chi-squared (χ²) test value of 22.68 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-squared value of 22.68 is greater than the critical value of 7.81, the null hypothesis is REJECTED.


Your lab partner completed a chi-squared (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?

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

b2ff_0275

Table of Chi-Squared (χ²) Critical Values
Degrees of Freedom Probability
0.950.900.750.500.250.100.050.01
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

Phenotype Expected Observed Calculation Statistic
 Yellow Round (Y–R–) 90 98 (98-90)²⁄ 90 0.711
 Yellow Wrinkled (Y–rr) 30 24 (24-30)²⁄ 30 1.200
 Green Round (yyR–) 30 31 (31-30)²⁄ 30 0.033
 Green Wrinkled (yyrr) 10 7 (7-10)²⁄ 10 0.900
(sum) χ² =  2.844

The final result gives the chi-squared (χ²) test value of 2.84 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-squared value of 2.84 is less than the critical value of 9.49, the null hypothesis is ACCEPTED.


Your lab partner completed a chi-squared (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?

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

0d46_71e7

Table of Chi-Squared (χ²) Critical Values
Degrees of Freedom Probability
0.950.900.750.500.250.100.050.01
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

Phenotype Expected Observed Calculation Statistic
 Yellow Round (Y–R–) 90 96 (96-90)²⁄ 90 0.400
 Yellow Wrinkled (Y–rr) 30 17 (17-30)²⁄ 30 5.633
 Green Round (yyR–) 30 42 (42-30)²⁄ 30 4.800
 Green Wrinkled (yyrr) 10 5 (5-10)²⁄ 10 2.500
(sum) χ² =  13.333

The final result gives the chi-squared (χ²) test value of 13.33 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-squared value of 13.33 is greater than the critical value of 5.99, the null hypothesis is REJECTED.


Your lab partner completed a chi-squared (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?

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

0dbd_dcae

Table of Chi-Squared (χ²) Critical Values
Degrees of Freedom Probability
0.950.900.750.500.250.100.050.01
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

Phenotype Expected Observed Calculation Statistic
 Yellow Round (Y–R–) 90 93 (93-90)²⁄ 93² 0.001
 Yellow Wrinkled (Y–rr) 30 15 (15-30)²⁄ 15² 1.000
 Green Round (yyR–) 30 37 (37-30)²⁄ 37² 0.036
 Green Wrinkled (yyrr) 10 15 (15-10)²⁄ 15² 0.111
(sum) χ² =  1.148

The final result gives the chi-squared (χ²) test value of 1.15 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-squared value of 1.15 is less than the critical value of 7.81, the null hypothesis is ACCEPTED.


Your lab partner completed a chi-squared (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?

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

f821_74ac

Table of Chi-Squared (χ²) Critical Values
Degrees of Freedom Probability
0.950.900.750.500.250.100.050.01
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

Phenotype Expected Observed Calculation Statistic
 Yellow Round (Y–R–) 90 83 (83-90)⁄ 90 -0.078
 Yellow Wrinkled (Y–rr) 30 25 (25-30)⁄ 30 -0.167
 Green Round (yyR–) 30 37 (37-30)⁄ 30 0.233
 Green Wrinkled (yyrr) 10 15 (15-10)⁄ 10 0.500
(sum) χ² =  0.489

The final result gives the chi-squared (χ²) test value of 0.49 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-squared value of 0.49 is less than the critical value of 7.81, the null hypothesis is ACCEPTED.


Your lab partner completed a chi-squared (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?

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

7701_0204

Table of Chi-Squared (χ²) Critical Values
Degrees of Freedom Probability
0.950.900.750.500.250.100.050.01
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

Phenotype Expected Observed Calculation Statistic
 Yellow Round (Y–R–) 90 85 (85-90)²⁄ 90 0.278
 Yellow Wrinkled (Y–rr) 30 23 (23-30)²⁄ 30 1.633
 Green Round (yyR–) 30 44 (44-30)²⁄ 30 6.533
 Green Wrinkled (yyrr) 10 8 (8-10)²⁄ 10 0.400
(sum) χ² =  8.844

The final result gives the chi-squared (χ²) test value of 8.84 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-squared value of 8.84 is greater than the critical value of 2.37, the null hypothesis is REJECTED.


Your lab partner completed a chi-squared (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?

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

5e1e_8136

Table of Chi-Squared (χ²) Critical Values
Degrees of Freedom Probability
0.950.900.750.500.250.100.050.01
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

Phenotype Expected Observed Calculation Statistic
 Yellow Round (Y–R–) 90 94 (94-90)²⁄ 90 0.178
 Yellow Wrinkled (Y–rr) 30 18 (18-30)²⁄ 30 4.800
 Green Round (yyR–) 30 34 (34-30)²⁄ 30 0.533
 Green Wrinkled (yyrr) 10 14 (14-10)²⁄ 10 1.600
(sum) χ² =  7.111

The final result gives the chi-squared (χ²) test value of 7.11 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-squared value of 7.11 is greater than the critical value of 5.99, the null hypothesis is REJECTED.


Your lab partner completed a chi-squared (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?

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

180e_fc2e

Table of Chi-Squared (χ²) Critical Values
Degrees of Freedom Probability
0.950.900.750.500.250.100.050.01
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

Phenotype Expected Observed Calculation Statistic
 Yellow Round (Y–R–) 90 84 (84-90)²⁄ 90² 0.004
 Yellow Wrinkled (Y–rr) 30 27 (27-30)²⁄ 30² 0.010
 Green Round (yyR–) 30 41 (41-30)²⁄ 30² 0.134
 Green Wrinkled (yyrr) 10 8 (8-10)²⁄ 10² 0.040
(sum) χ² =  0.189

The final result gives the chi-squared (χ²) test value 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-squared value of 0.19 is less than the critical value of 7.81, the null hypothesis is ACCEPTED.


Your lab partner completed a chi-squared (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?

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