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 (z) 1.72 p= Ex: 1.234: p-value 0.053 3 2 = Ex: 1.234

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section: Chapter Questions
Problem 25SGR
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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 (z)
1.72
p= Ex: 1.234:
p-value
0.053
3
z = Ex: 1.234
n = Ex: 9
Number passed = Ex: 9
Sample proportion p
= Ex: 1.234
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 82 Observations 100 Confidence Level 0.95 Critical value 1.64 test statistic (z) 1.72 p= Ex: 1.234: p-value 0.053 3 z = Ex: 1.234 n = Ex: 9 Number passed = Ex: 9 Sample proportion p = Ex: 1.234
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