5. After analyzing the data above you formulate the following hypothesis. Wing l

Question

5. After analyzing the data above you formulate the following hypothesis. Wing length in this species of bat is determined by three genes, each of which can be represented by an additive or non-additive allele, considering all three genes, the frequency of additive and non-additive alleles in the gene pool is approximately equal, and the population is in Hardy-Weinberg equilibrium. To test your hypothesis perform a Chi-Square analysis of the data from question 4. (7 pts) Wing Length (cm) Observed Expected Deviation (O-EE 12 16 20 24 32 36 Total 261 261 a. Howdid you determine the expected # of bats in each class? ction by totai nu divided the to b. Whot is the X2 value? c. How many degrees of freedom does the data set have? What is your p-value/what p-values are associated with the flanking values? e. Does the X2 analysis indicate that the data support the hypothesis stated abovregarding the # of genes involved, aliele frequencies etc. Explain your answer. A simple yes or no will receive zero crea d. f. If the answer to f. was no, suggest a specific factor that could be affecting wing length distribution in this population of bats

Explanation / Answer

According to the given problem the frequency of additive and non additive alleles in the gene pool is equal and the populatrion is in Hardy Weinberg equillibrium.

So the expected no. of the offspring should be equal for all the wing sizes.

So the table would be

X2 = 164.32

degree of freedom = n-1

degree of freedom = 7-1= 6

p value at 0.05% and d.f of 6 is 12.53

Our value is much larger tyhan the P value.

So the hypothesis is rejected.

Wing(cm) Observed Expected deviation(O-E) (O-E)2/E 12 2 37 -35 33.10 16 25 37 -12 3.89 20 57 38 19 9.75 24 83 37 46 57.1 28 67 37 30 24.32 32 22 38 -18 8.52 36 5 37 -32 27.67 Total 261 261 164.35

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