A researcher wishes to see if the proportions of workers for each type of job have changed during the last 10 years. A sample of 100 workers is selected, and the results are shown. At α = 0.05, test the claim that the proportions have not changed. Can the results be generalized to the population of the United States?

Perform the following steps.
a. State the hypotheses and identify the claim.
b. Find the critical value.
c. Compute the test value.
d. Make the decision.
e. Summarize the results.
Use the traditional method of hypothesis testing unless otherwise specified.

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Manu Services facturing Government Other 10 years ago Now 33 18 13 12 25 Total 51 19