For Exercises 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. Assume all assumptions are valid.

Is the length of unemployment related to the type of industry? A random sample of unemployed workers from three different sectors yielded the following data. At the 0.05 level of significance, are the two categories dependent?

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Transportation/ utilities Information Financial activities Less than 5 weeks 85 48 83 5-14 weeks 110 57 111 15-26 weeks 80 45 114