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:

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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Age of Customer Payment Method 20-30 31-40 41-50 Over 50 In Person By Mail By Credit Card By Funds Transfer 23 35 17 8 12 13 29 67 72 50 26 19 6