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A competency test is modified so that the proportion of test-takers that pass is more than 75%. A simple random sample of test-takers is collected to determine if the proportion of passers is greater than 75%. The results of the sample are shown below. Competency test sample passed 82 Observations 100 Confidence Level 0.95 Critical value 1.64 test statistic (2) pvalue 1.72 p = 1234 0.053 z= Ex 1.234 n = Ex: 9

A competency test is modified so that the proportion of test-takers that pass is more than 75%. A simple random sample of test-takers is collected to determine if the proportion of passers is greater than 75%. The results of the sample are shown below. Competency test sample passed 82 Observations 100 Confidence Level 0.95 Critical value 1.64 test statistic (2) pvalue 1.72 p = 1234 0.053 z= Ex 1.234 n = Ex: 9

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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A competency test is modified so that the proportion of test-takers that pass is more than 75%. A simple random sample of test-takers is collected to determine if the proportion of passers is greater than 75%. The results of the sample are shown below. Competency test sample passed Observations 82 100 Confidence Level 0.95 Critical value 1.64 test statistic (2) 1.72 p= Ex: 1.234 : p-value 0.053 2 z= Ex: 1.234 n = Ex: 9
Transcribed Image Text:A competency test is modified so that the proportion of test-takers that pass is more than 75%. A simple random sample of test-takers is collected to determine if the proportion of passers is greater than 75%. The results of the sample are shown below. Competency test sample passed Observations 82 100 Confidence Level 0.95 Critical value 1.64 test statistic (2) 1.72 p= Ex: 1.234 : p-value 0.053 2 z= Ex: 1.234 n = Ex: 9
Expert Solution
Step 1

We have given that 

Population proportion p =75%=0.75

Sample size n =100

Favorable cases x =82

Sample proportion p^=x/n 

p^=82/100=0.82

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