Prior to a set of compensation policy changes at a company 31% of the employees surveyed said that they liked their job very much, 45% said that they liked their job moderately, and the remaining employees said that they were dissatisfied with their job. Now, in a survey of 202 employees, 76 said they liked their job very much, 106 said that they liked their job moderately, and the remaining employees said that they were dissatisfied with their job. When testing (at the 5% level of significance) whether the proportions have changed, what is the critical value? (please round your answer to 3 decimal places)

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.2: Arithmetic Sequences
Problem 67E
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QUESTION 15
Prior to a set of compensation policy changes at a company 31% of the employees surveyed said that they liked their
job very much, 45% said that they liked their job moderately, and the remaining employees said that they were
dissatisfied with their job. Now, in a survey of 202 employees, 76 said they liked their job very much, 106 said that
they liked their job moderately, and the remaining employees said that they were dissatisfied with their job. When
testing (at the 5% level of significance) whether the proportions have changed, what is the critical value? (please
round your answer to 3 decimal places)
Transcribed Image Text:QUESTION 15 Prior to a set of compensation policy changes at a company 31% of the employees surveyed said that they liked their job very much, 45% said that they liked their job moderately, and the remaining employees said that they were dissatisfied with their job. Now, in a survey of 202 employees, 76 said they liked their job very much, 106 said that they liked their job moderately, and the remaining employees said that they were dissatisfied with their job. When testing (at the 5% level of significance) whether the proportions have changed, what is the critical value? (please round your answer to 3 decimal places)
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