Use the contingency table and expected frequencies from Exercise 12. At = 0.10, test the hypothesis

Use the contingency table and expected frequencies from Exercise 12. At α = 0.10, test the hypothesis that the variables are dependent.

Perform the indicated chi-square independence test by performing the steps below.

(a) Identify the claim and state H₀ and H_a.

(b) Determine the degrees of freedom, find the critical value, and identify the rejection region.

(c) Find the chi-square test statistic.

(d) Decide whether to reject or fail to reject the null hypothesis.

(e) Interpret the decision in the context of the original claim.

Data from Exercise 12:

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Age Type of movie rented 18–24 25–34 35-44 30 17 11 45-64 65 and older 10 Comedy Action Drama 24 38 15 16 5 12 25 13 19