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se 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 0.04. The sample should include ___ men and ___ women.

se 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 0.04. The sample should include ___ men and ___ women.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.5: Comparing Sets Of Data
Problem 14PPS
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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 0.04.

The sample should include ___ men and ___ women.

 

 

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: P242 E=Za/2 n2 Replace n, and n, by n in the preceding formula (assuming that both samples have the same size) and replace each of p,, 91. P2, and q2 by 0.5 (because their values are not known). Solving for n results in this expression: n= 2E?
Transcribed Image Text: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: P242 E=Za/2 n2 Replace n, and n, by n in the preceding formula (assuming that both samples have the same size) and replace each of p,, 91. P2, and q2 by 0.5 (because their values are not known). Solving for n results in this expression: n= 2E?
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