Prior to a set of compensation policy changes at a company 30% of the employees

Question

Prior to a set of compensation policy changes at a company 30% of the employees surveyed said that they liked their job very much, 51% said that they liked their job moderately, and the remaining employees said that they were dissatisfied with their job. Now, in a survey of 190 employees, 63 said they liked their job very much, 107 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 test statistic? (please round your answer to 3 decimal places)

Explanation / Answer

Observation Study

Expected Study

We will perform CHi- square goodness of fit test

Value of

X2 = (63 - 57)2 /57 + (107 - 96.9)2 /96.9 + (20 - 36.1)2 /36.1

   = 8.8646

X2 critical for dF = 2 and alpha = 0.05

X2 critical = 5.991

so, X2 > X2 critical ,so we can reject the null hypothesis that all proportions are same and conclude that proportions are changed in the new survey.

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