Use the contingency table and expected frequencies from Exercise 11. At = 0.10, test the hypothesis

Use the contingency table and expected frequencies from Exercise 11. At α = 0.10, test the hypothesis that the variables are independent.

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 11:

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Type of car Full-size SUV Truck/van 39 Gender Compact 21 22 28 Male Female 24 20 14 32