solution

If gene frequencies are in equilibrium, the genotypes AA, Aa, and aa occur with probabilities (1 —)2, 2(1 — ), and 2 , respectively. Plato et al. (1964) published the following data on haptoglobin type in a sample of 190 people:

a Find the mle of .

b Find asymptotic variance of the mie.

c Find an approximate 99% confidence interval for .

d Use the bootstrap to find the approximate standard deviation of the maximum likelihood estimate and compare to the result of part (b).

e Use the bootstrap to find an approximate 99% confidence interval and compare to part (c).

 
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