The sample should include (Type whole numbers.) men and women.
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.3: Measures Of Spread
Problem 8PPS
Related questions
Question
![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
Print
Done
X](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Ff78b0d1d-7c61-43e6-95df-c8ccf5f46163%2F155ddc8d-a7af-4430-9dd1-9773ea173971%2Fvq1l4qn_processed.jpeg&w=3840&q=75)
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
Print
Done
X
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