Each person in a representative sample of 448 college students age 18 to 24 was classified according to age and to the response to the following question: "How often have you used a credit card to buy items knowing you wouldn't have money to pay the bill when it arrived?" Possible responses were never, rarely, sometimes, or frequently. The responses are summarized in the table. Age 18 to 20 Age 21 to 22 Age 23 to 24
Never 73 62 29
Rarely 35 34 32
Sometimes 31 42 40
Frequently 12 24 32
Do these data provide evidence that there is an association between age group and the response to the question? Test the relevant hypotheses using α = 0.01.
State the appropriate null and alternative hypotheses.
a. H0: There is no association between age group and the response to the question.
b. Ha: There is an association between age group and the response to the question.
c. H0: The proportions falling into each of the three age groups are the same for all four respon