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Discuss how each of the following factors affects the width of the confidence interval for p. (Hint: Consider the confidence interval formula.) (a) the confidence level As the confidence level increases, the interval becomes narrower. As the confidence level increases, the interval becomes wider. (b) the sample size As the sample size increases, the interval becomes wider. As the sample size increases, the interval becomes narrower. (c) the value of p Values of p further from 0.5 give smaller values of ô(1 - p). Therefore, the further the value of ô from 0.5, the wider the interval. Values of p further from 0.5 give smaller values of ①(1 - p). Therefore, the further the value of ô from 0.5, the narrower the interval. Values of p further from 0.5 give larger values of p(1 - p). Therefore, the further the value of ô from 0.5, the wider the interval. Values of p further from 0.5 give larger values of p(1 - p). Therefore, the further the value of ô from 0.5, the narrower the interval.

Discuss how each of the following factors affects the width of the confidence interval for p. (Hint: Consider the confidence interval formula.) (a) the confidence level As the confidence level increases, the interval becomes narrower. As the confidence level increases, the interval becomes wider. (b) the sample size As the sample size increases, the interval becomes wider. As the sample size increases, the interval becomes narrower. (c) the value of p Values of p further from 0.5 give smaller values of ô(1 - p). Therefore, the further the value of ô from 0.5, the wider the interval. Values of p further from 0.5 give smaller values of ①(1 - p). Therefore, the further the value of ô from 0.5, the narrower the interval. Values of p further from 0.5 give larger values of p(1 - p). Therefore, the further the value of ô from 0.5, the wider the interval. Values of p further from 0.5 give larger values of p(1 - p). Therefore, the further the value of ô from 0.5, the narrower the interval.

MATLAB: An Introduction with Applications
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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Q10.5

Discuss how each of the following factors affects the width of the confidence interval for p. (Hint: Consider the confidence interval formula.) (a) the confidence level As the confidence level increases, the interval becomes narrower. As the confidence level increases, the interval becomes wider. (b) the sample size As the sample size increases, the interval becomes wider. As the sample size increases, the interval becomes narrower. (c) the value of p Values of p further from 0.5 give smaller values of ô(1 - p). Therefore, the further the value of ô from 0.5, the wider the interval. Values of p further from 0.5 give smaller values of ①(1 - p). Therefore, the further the value of ô from 0.5, the narrower the interval. Values of p further from 0.5 give larger values of p(1 - p). Therefore, the further the value of ô from 0.5, the wider the interval. Values of p further from 0.5 give larger values of p(1 - p). Therefore, the further the value of ô from 0.5, the narrower the interval.
Transcribed Image Text:Discuss how each of the following factors affects the width of the confidence interval for p. (Hint: Consider the confidence interval formula.) (a) the confidence level As the confidence level increases, the interval becomes narrower. As the confidence level increases, the interval becomes wider. (b) the sample size As the sample size increases, the interval becomes wider. As the sample size increases, the interval becomes narrower. (c) the value of p Values of p further from 0.5 give smaller values of ô(1 - p). Therefore, the further the value of ô from 0.5, the wider the interval. Values of p further from 0.5 give smaller values of ①(1 - p). Therefore, the further the value of ô from 0.5, the narrower the interval. Values of p further from 0.5 give larger values of p(1 - p). Therefore, the further the value of ô from 0.5, the wider the interval. Values of p further from 0.5 give larger values of p(1 - p). Therefore, the further the value of ô from 0.5, the narrower the interval.
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