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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% confidence that your error is no more than 0.05. Click the icon to view the discussion of sample size. X Sample size discussion The sample should include men and women. (Type whole numbers.) 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-a can be found by using the following expression: P292 E=Zα/2 P₁91 n₁ n₂ Replace n₁ and n₂ by n in the preceding formula (assuming that both samples have the same size) and replace each of p₁, 91. P2, and q2 by 0.5 (because their values are not known). Solving for n results in this expression: 22/2 2E² Print Done +