Question: 6.2.19 (HardyWeinberg law) The HardyWeinberg law in genetics says that the pro- portions of genotypes A A, Aa, and aa are 02, 29 (l

6.2.19 (HardyWeinberg law) The HardyWeinberg law in genetics says that the pro- portions of genotypes A A, Aa, and aa are 02, 29 (l 0), and (l 9)2, respectively, where 9 e [0, l] . Suppose that in a sample of n from the population (small relative to the size of the population), we obselvel individuals of type A A, x2 individuals of type Aa, and individuals of type aa. (a) Find Wald and score intervals for 0. (b) The probability for the AA genotype is 02. Use the delta method to get an asymptotic variance for the MLE of 02 and then use that to construct a confidence interval for 02.

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