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. 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 - α can be found by using the following expression: E=Zal2 n= P191 P292 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: ²a/2 2E + X
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. 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 - α can be found by using the following expression: E=Zal2 n= P191 P292 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: ²a/2 2E + X
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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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 men and
(Type whole numbers.)
women.
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 - α can be
found by using the following expression:
E = Za/2
n=
P191
n₁
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:
2
-α/2
2E
P292
n₂
X
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