A large brokerage firm wants to determine whether the service it provides to affluent clients differs from the service it provides to lower-income clients. A sample of 500 clients is selected, and each client is asked to rate his or her broker. The results are shown in Table 10.7.

a. Test to determine whether there is evidence that broker rating and customer income are dependent. Use α = .05.

b. Graph the data and describe the patterns revealed. Is the result of the test supported by the plot?

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Table 10.7 Survey Results (Observed Clients), Example 10.3 Client's Income Broker Rating Outstanding Average Poor Totals Under $30,000 48 98 30 176 $30,000-$60,000 64 120 33 217 Over $60,000 41 50 16 107 Totals 153 268 79 500