Use the contingency table and expected frequencies from Exercise 10. At = 0.01, test the hypothesis that the variables are dependent. Perform the indicated

Use the contingency table and expected frequencies from Exercise 10. At α = 0.01, 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 10:

Rating Size of restaurant Seats 100 or fewer Seats over 100 Excellent Fair Poor 165 182 203 159 180 311