Consider random samples of size 258 drawn from population A with proportion 0.17 and random samples of size 310 drawn from population B with proportion 0.27. (a) Find the standard error of the distribution of differences in sample proportions, PA - PB- Round your answer for the standard error to three decimal places. standard error (b) Are the sample sizes large enough for the Central Limit Theorem to apply? OYes O No

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 22PFA
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Consider random samples of size 258 drawn from population A with proportion 0.17 and random samples of size 310 drawn from
population B with proportion 0.27.
(a) Find the standard error of the distribution of differences in sample proportions, P - PB-
Round your answer for the standard error to three decimal places.
standard error =
(b) Are the sample sizes large enough for the Central Limit Theorem to apply?
OYes
O No
Transcribed Image Text:Consider random samples of size 258 drawn from population A with proportion 0.17 and random samples of size 310 drawn from population B with proportion 0.27. (a) Find the standard error of the distribution of differences in sample proportions, P - PB- Round your answer for the standard error to three decimal places. standard error = (b) Are the sample sizes large enough for the Central Limit Theorem to apply? OYes O No
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