Use the expression in the accompanying discussion of sample size to find the size of each sample if you want to estimate the difference between proportions of men and women who own smartphones. Assume that you want 90% confidencethat your error is no more than 0.02.A Click the icon to view the discussion of sample size.Sample size discussionThe sample should include(Type whole numbers.)men andwomen.The sample size needed to estimate the difference between two populationproportions to within a margin of error E with a confidence level of 1-a can befound by using the followexpression:P2 92P191E=Za/2n2Replace n, and n, by n in the preceding formula (assuming that both sampleshave the same size) and replace each of p,91, P2, and q, by 0.5 (because theirvalues are not known). Solving for n results in this expression:za12.22E

The confidence level is 90%, and margin of error is 0.02.Computation of critical value: 1-α=0.90α=0.10α2=0.051-α2=0.95 The critical value of z-distribution can be obtained using the excel formula “=NORM.S.INV (0.95)”. The critical value is 1.64485. The required sample size is, n=12zα2E2=121.644850.022=0.5×6763.82880625=3,381.914403125≥3,382 Therefore, the sample should include 3,382 men and 3,382 woman.