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.

The mice in the sample are as per proportion given

Step-by-step 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:

GreyBrownAlbinoTotal

Prob   9/16   3/16   1/4  1      

Observed O35      19      24      78      

Expected E43  7/8  14  5/8  19  1/2  78      

Chi square1 66/831 21/681  1/264  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

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