Question

Crosses of mice will produce either gray, brown, or albino offspring. Mendel's model predicts that the probability of a gray offspring is 9/16 ; the probability of a brown offspring is 3/16 ; and the probability of an albino offspring is 4/16. a. An experiment to assess the validity of Mendel's theory produces the following data: 35 gray offspring; 19 brown offspring; and 24 albino offspring. Test H0: p1=9/16, p2=3/16, p3=4/16 vs H1: not H0 (i) at α=0.05, (ii) at α=0.10.

Answer 1

The mice in the sample are as per proportion given

Explanation:

Given that crosses of mice will produce either gray, brown, or albino offspring.

Mendel's model predicts that the probability of a gray offspring is 9/16 ; the probability of a brown offspring is 3/16 ; and the probability of an albino offspring is 4/16.

H_0: Samples have proportion as given

H_a: atleast one does not have the proportion

(Two tailed chi square test)

Sample size n =78

Contingency and chi square table are:

Grey Brown Albino Total

Prob 9/16 3/16 1/4 1

Observed O 35 19 24 78

Expected E 43 7/8 14 5/8 19 1/2 78

Chi square 1 66/83 1 21/68 1 1/26 4 1/7

p value 1/8

Since p value >0.10, we accept null hypothesis

The mice in the sample are as per proportion given