Prior to a set of compensation policy changes at a company 29% of the employees

Question

Prior to a set of compensation policy changes at a company 29% of the employees surveyed said that they liked their job very much, 49% said that they liked their job moderately, and the remaining employees said that they were dissatisfied with their job. Now, in a survey of 206 employees, 51 said they liked their job very much, 102 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) Prior to a set of compensation policy changes at a company 30% of the employees surveyed said that they liked their job very much, 47% said that they liked their job moderately, and the remaining employees said that they were dissatisfied with their job. Now, in a survey of 209 employees, 75 said they liked their job very much, 104 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)

Explanation / Answer

14)applying chi square goodness of fit test on above data:

hence test statistic =2.591

15 )at 5% level and 2 degree of freedom ; critical value =5.991

observed Expected Chi square cents portion Probability O E=total*p =(O-E)^2/E very satisfied 0.290 51.000 59.74 1.28 moderately 0.490 102.000 100.94 0.01 dissatisfied 0.220 53.000 45.32 1.30 1 206 206 2.5913

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