Difference between population proportions of men and women

Question

Assignment:

Determining Sample Size The sample size needed to estimate the difference between two population proportions to within a margin of error E with a confidence level of 1 - α can be found by using the following expression.

E= z_α/2√p₁q₁/n₁+ p₂q₂/n₂

In the above formula, replace n1 and n2 by n (assuming that both samples have the same size) and replace each of p1, q1, p2, and q2 by 0.5 (because their values are not known). Then solve for n. Use this approach to find the size of each sample if you want to estimate the difference between the proportions of men and women who have their own computers. Assume that you want 95% confidence that your error is no more than 0.03.