Refer to Exercise 8.90. Suppose you wish to estimate (p1 - p2) correct to within .06, with probability equal to .99, and you plan to use equal sample sizes- that is, n1 = n2. How large should n1 and n2 be?
Exercise 8.90
Independent random samples of n1 = 40 and n2 = 80 observations were selected from binomial populations 1 and 2, respectively. The number of successes in the two samples were x1 = 17 and x2 = 23. Find a 99% confidence interval for the difference between the two binomial population proportions. Interpret this interval.