Answered: For which of the following sample sizes…

For which of the following sample sizes would the sampling distribution of p̂ be approximately normal if p = 0.85? n = 10 n = 40 n = 60 n = 90 n = 100 n = 300

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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Question

For which of the following sample sizes would the sampling distribution of p̂ be approximately normal if p = 0.85? n = 10 n = 40 n = 60 n = 90 n = 100 n = 300

Definition Definition Number of subjects or observations included in a study. A large sample size typically provides more reliable results and better representation of the population. As sample size and width of confidence interval are inversely related, if the sample size is increased, the width of the confidence interval decreases.

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Step 1: Given :

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Step 2: Checking for P^ =0.85 :

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Step 3: Checking for P^ =0.85 at n=40 :

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Step 4: Checking p^=0.85 at n=60

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Step 5: Checking p^=0.85 at n=90 :

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Step 6: Checking p^=0.85 at n=100

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Step 7: Checking P^=0.85 at n=300 :

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