Mathematics

Parker Pearson

23 July, 20:04

For a certain population of men, 8 percent carry a certain genetic trait. For a certain population of women, 0.5 percent carry the same genetic trait. Let pˆ1 represent the sample proportion of randomly selected men from the population who carry the trait, and let pˆ2 p ^ 2 represent the sample proportion of women from the population who carry the trait. For which of the following sample sizes will the sampling distribution of pˆ1-pˆ2 be approximately normal?

A 30 men and 30 women

B 125 men and 20 women

C 150 men and 100 women

D 200 men and 2,000 women

E 1,000 men and 1,000 women