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

MATLAB: An Introduction with Applications
6th Edition
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Author:Amos Gilat
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Chapter1: Starting With Matlab
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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, \( \hat{p}_A - \hat{p}_B \).

Round your answer for the standard error to three decimal places.

Standard error = [Text Box]

(b) Are the sample sizes large enough for the Central Limit Theorem to apply?

- ⃝ Yes
- ⃝ 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, \( \hat{p}_A - \hat{p}_B \). Round your answer for the standard error to three decimal places. Standard error = [Text Box] (b) Are the sample sizes large enough for the Central Limit Theorem to apply? - ⃝ Yes - ⃝ No
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