If gene frequencies are in equilibrium, the genotypes AA, Aa, and aa occur with probabilities (1 â€”)2, 2(1 â€” ), 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).