Question 3: A travel agent wants to know if the proportions of satisfied customers at two different resorts are different. In a random sample of 200 customers at Resort A, 160 were satisfied. In a random sample of 250 customer at Resort B, 172 were satisfied. At the 1% level of significance, do the resorts differ in customer satisfaction? (a) State the hypotheses for this test and define one of the parameters of interest in full context. (b) Verify that the assumptions for the test are met. 1. Independent Groups Assumption: 2. Independence Assumption, checked by the Randomization Condition: 3. Sample Size Assumption, checked by the Success/Failure Condition: 2/3 (c) Under the null hypothesis, compute the ingredients needed to calculate the test statistíc. P1 - P2 = E(Pi - P2) = Ppool %3D SEpool (P1 – P2) = (d) Compute the test statistic for this test. (e) Draw a rough normal diagram for this test statistic and compute the p-value for the test.

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