A. Practice Problems
Use a calculator to calculate χ² in the two examples that follow. The χ² values you should obtain are given. If the value you obtain does not agree with the value given, repeat the calculation until agreement is reached. Notice how the χ² calculated is interpreted.
1. In a cross involving Drosophila melanogaster, an F₂ population included 272 flies with long (normal) wings and 60 flies with dumpy wings. Calculate χ² and fill in the blanks below. Do these results approximate a 3:1 ratio?
Phenotype O E O - E (O - E)² (O - E)²/E
Normal
Dumpy
Totals χ² =
Instructor's calculation of χ² = 8.4980
a. In interpreting this χ² value, you have ________ degrees of freedom.
b. In this case, do you accept/reject the hypothesis that these data approximate a 3:1 ratio?
c. What is the probability that the deviations are due to chance alone?
2. In a dihybrid test cross, the following results were obtained: A-B-, 121; A-bb, 107; aaB-, 115; and aabb, 93. Do these data approximate a dihybrid test cross ratio with independent assortment? Complete the following table and answer the related questions.