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 0.045. 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 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 q, by 0.5 (because their values are not known). Solving for n results in this expression: .2 Za/2 n = 2E2
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 0.045. 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 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 q, by 0.5 (because their values are not known). Solving for n results in this expression: .2 Za/2 n = 2E2
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 0.045.
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:
P292
P191
E = Z«/2
n2
Replace n1
and
n2
by n in the preceding formula (assuming that both samples
have the same size) and replace each of p.1, q1, P2, and q, by 0.5 (because their
values are not known). Solving for n results in this expression:
a/2
n =
2E2
Print
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