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 95% confidence that your error is no more than 0.02. i Click the icon to view the discussion of sample size. The sample should include men and women. (Type whole numbers.) O Sample size discussion 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: P:91 P292 E=Za12 D.* Replace n, and n, by n in the preceding formula (assuming that both samples have the same size) and replace each of p,. q1. P2, and q, by 0.5 (because their values are not known). Solving for n results in this expression: 2E Print Done

Big Ideas Math A Bridge To Success Algebra 1: Student Edition 2015
1st Edition
ISBN:9781680331141
Author:HOUGHTON MIFFLIN HARCOURT
Publisher:HOUGHTON MIFFLIN HARCOURT
Chapter11: Data Analysis And Displays
Section: Chapter Questions
Problem 4CR
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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 95% confidence that your error is no more than 0.02.
A Click the icon to view the discussion of sample size.
The sample should include
men and
women.
(Type whole numbers.)
Sample size discussion
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:
P191
P292
E=Za/2
n1
n2
Replace n, and n2 by n in the preceding formula (assuming that both samples
have the same size) and replace each of p,, 9,, P2, and q2 by 0.5 (because their
values are not known). Solving for n results in this expression:
a/2
n =
2E?
Print
Done
Transcribed Image Text: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 95% confidence that your error is no more than 0.02. A Click the icon to view the discussion of sample size. The sample should include men and women. (Type whole numbers.) Sample size discussion 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: P191 P292 E=Za/2 n1 n2 Replace n, and n2 by n in the preceding formula (assuming that both samples have the same size) and replace each of p,, 9,, P2, and q2 by 0.5 (because their values are not known). Solving for n results in this expression: a/2 n = 2E? Print Done
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