The sample should include (Type whole numbers.) men and women.
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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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 99% confidence that your error is no more than 0.03.
iClick 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=Zx/2
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:
n=
P191 P292
n₁
n₂
zα/2
2E²
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