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 0.02. Click the icon to view the discussion of sample size. The sample should include (Type whole numbers.) men and women. df i 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,.91. P2, and q2 by 0.5 (because their values are not known). Solving for n results in this expression: n= 2E?

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 26PFA
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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 0.02.
Click the icon to view the discussion of sample size.
The sample should include
(Type whole numbers.)
men and
women.
df
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 90% confidence that your error is no more than 0.02. Click the icon to view the discussion of sample size. The sample should include (Type whole numbers.) men and women. df
i 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,.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:i 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,.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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