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Each person in a representative sample of 449 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 mone 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 72 62 29 Rarely 36 32 34 Sometimes 33 42 40 13 Frequently 24 32 LUSE SALT Do these data provide evidence that there is an association between age group and the response to the question? Test the relevant hypotheses using a = 0.01. State the appropriate null and alternative hypotheses. Ho: There is an association between age group and the response to the question. H₂: There is no association between age group and the response to the question. O Ho: The proportions falling into each of the three age groups are not the same for all four responses to the question. H₂: The proportions falling into each of the three age groups are the same for all four responses to the question. ***** Ho: There is no association between age group and the response to the question. www. H: There is an association between age group and the response to the question. O Ho: The proportions falling into each of the three age groups are the same for all four responses to the question. H₂: The proportions falling into each of the three age groups are not the same for all four responses to the question. Calculate the test statistic. (Round your answer to two decimal places.)
Ho : There is no association between age group and the response to the quest H₂: There is an association between age group and the response to the question. Ho: The proportions falling into each of the three age groups are the same for all four responses to the question H: The proportions falling into each of the three age groups are not the same for all four responses to the qui Calculate the test statistic. (Round your answer to two decimal places.) Use technology to calculate the P-value. (Round your answer to four decimal places.) P-value= State the conclusion in the problem context. O Reject Ho. There is not convincing evidence that there is an association between age group and the response to question. O Fail to reject Ho. There is convincing evidence that there is an association between age group and the response question. O Reject Ho. There is convincing evidence that there is an association between age group and the response to the question. Fall to reject Ho. There is not convincing evidence that there is an association between age group and the respon the question. Viewing Saved Work Revert to Last Response Submit Answer