Each person in a representative sample of 450 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 36 34 32 Sometimes 33 42 40 Frequently 13 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 ? = 0.01. State the appropriate null and alternative hypotheses. H0: The proportions falling into each of the three age groups are not the same for all four responses to the question. Ha: The proportions falling into each of the three age groups are the same for all four responses to the question.H0: There is an association between age group and the response to the question. Ha: There is no association between age group and the response to the question. H0: The proportions falling into each of the three age groups are the same for all four responses to the question. Ha: The proportions falling into each of the three age groups are not the same for all four responses to the question.H0: There is no association between age group and the response to the question. Ha: There is an association between age group and the response to the question. Calculate the test statistic. (Round your answer to two decimal places.) ?2 = Use technology to calculate the P-value. (Round your answer to four decimal places.) P-value = State the conclusion in the problem context. Fail to reject H0. There is convincing evidence that there is an association between age group and the response to the question.Reject H0. There is not convincing evidence that there is an association between age group and the response to the question. Fail to reject H0. There is not convincing evidence that there is an association between age group and the response to the question.Reject H0. There is convincing evidence that there is an association between age group and the response to the question.

Each person in a representative sample of 450 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 36 34 32 Sometimes 33 42 40 Frequently 13 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 ? = 0.01. State the appropriate null and alternative hypotheses. H0: The proportions falling into each of the three age groups are not the same for all four responses to the question. Ha: The proportions falling into each of the three age groups are the same for all four responses to the question.H0: There is an association between age group and the response to the question. Ha: There is no association between age group and the response to the question. H0: The proportions falling into each of the three age groups are the same for all four responses to the question. Ha: The proportions falling into each of the three age groups are not the same for all four responses to the question.H0: There is no association between age group and the response to the question. Ha: There is an association between age group and the response to the question. Calculate the test statistic. (Round your answer to two decimal places.) ?2 = Use technology to calculate the P-value. (Round your answer to four decimal places.) P-value = State the conclusion in the problem context. Fail to reject H0. There is convincing evidence that there is an association between age group and the response to the question.Reject H0. There is not convincing evidence that there is an association between age group and the response to the question. Fail to reject H0. There is not convincing evidence that there is an association between age group and the response to the question.Reject H0. There is convincing evidence that there is an association between age group and the response to the question.

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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Related questions

Question

	Age 18 to 20	Age 21 to 22	Age 23 to 24
Never	73	62	29
Rarely	36	34	32
Sometimes	33	42	40
Frequently	13	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

? = 0.01.

State the appropriate null and alternative hypotheses.

H₀: The proportions falling into each of the three age groups are not the same for all four responses to the question.
H_a: The proportions falling into each of the three age groups are the same for all four responses to the question.H₀: There is an association between age group and the response to the question.
H_a: There is no association between age group and the response to the question. H₀: The proportions falling into each of the three age groups are the same for all four responses to the question.
H_a: The proportions falling into each of the three age groups are not the same for all four responses to the question.H₀: There is no association between age group and the response to the question.
H_a: There is an association between age group and the response to the question.

Calculate the test statistic. (Round your answer to two decimal places.)

?² =

Use technology to calculate the P-value. (Round your answer to four decimal places.)

P-value =

State the conclusion in the problem context.

Fail to reject H₀. There is convincing evidence that there is an association between age group and the response to the question.Reject H₀. There is not convincing evidence that there is an association between age group and the response to the question. Fail to reject H₀. There is not convincing evidence that there is an association between age group and the response to the question.Reject H₀. There is convincing evidence that there is an association between age group and the response to the question.

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