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Please view the question in the photo and answer the following questions. TY! (A) What is the minimum sample size needed assuming that no prior information is​ available? (B) What is the minimum sample size needed using a prior study that found that 36​% of the respondents said they think Congress is doing a good or excellent​ job?

Please view the question in the photo and answer the following questions. TY! (A) What is the minimum sample size needed assuming that no prior information is​ available? (B) What is the minimum sample size needed using a prior study that found that 36​% of the respondents said they think Congress is doing a good or excellent​ job?

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
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Please view the question in the photo and answer the following questions. TY!

(A) What is the minimum sample size needed assuming that no prior information is​ available?

(B) What is the minimum sample size needed using a prior study that found that 36​% of the respondents said they think Congress is doing a good or excellent​ job?

A researcher wishes to estimate, with 90% confidence, the population proportion of adults who think Congress is doing a good or excellent job. Her estimate must be accurate within 2% of the true proportion. (a) No preliminary estimate is available. Find the minimum sample size needed. (b) Find the minimum sample size needed, using a prior study that found that 36% of the respondents said they think Congress is doing a good or excellent job. (c) Compare the results from parts (a) and (b).
Transcribed Image Text:A researcher wishes to estimate, with 90% confidence, the population proportion of adults who think Congress is doing a good or excellent job. Her estimate must be accurate within 2% of the true proportion. (a) No preliminary estimate is available. Find the minimum sample size needed. (b) Find the minimum sample size needed, using a prior study that found that 36% of the respondents said they think Congress is doing a good or excellent job. (c) Compare the results from parts (a) and (b).
Expert Solution
Step 1

Given,margin of error (E)=0.02α=1-0.90=0.1α2=0.05Z0.05=1.645   (from Z-table)

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