The billing department of a national cable service company is conducting a study of how customers pay their monthly cable bills. the cable company accepts payment in one of four ways: in person at a local office, by mail, by credit card, or by electronic funds transfer from a bank account. the cable company randomly sampled 400 customers to determine if there is a relationship between the customer’s age and the payment method used. the following sample results were obtained: payment method age of customer 20–30 31–40 41–50 over 50 in person 8 12 11 13 by mail 29 67 72 50 by credit card 26 19 5 7 by funds transfer 23 35 17 6 based on the sample data, can the cable company conclude that there is a relationship between the age of the customer and the payment method used? conduct the appropriate test at the α = 0.01 level of significance.

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