Use the contingency table and expected frequencies from Exercise 9. At a = 0.05, 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 9:

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Preference Bank employee New procedure Old procedure 351 No preference Teller 92 50 Customer service representative 76 42