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

Question:

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 Ha.

(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:

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

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