In: Statistics and Probability
Prior to a set of compensation policy changes at a company 31% 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 193 employees, 78 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)
Prior to a set of compensation policy changes at a company 29% of the employees surveyed said that they liked their job very much, 52% said that they liked their job moderately, and the remaining employees said that they were dissatisfied with their job. Now, in a survey of 208 employees, 75 said they liked their job very much, 110 said that they liked their job moderately, and the remaining employees said that they were dissatisfied with their job. When testing (at the 10% level of significance) whether the proportions have changed, what is the critical value? (please round your answer to 3 decimal places)