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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 70 62 29 Rarely 38 34 32 Sometimes 33 42 40 Frequently 12 24 32 n USE 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: 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 question. Ho: There is an association between age group and the response to the question. H: There is no association between age group and the response to the question. Ho: The proportions falling into each of the three age groups are not the same for all four responses to the question. H: 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. H: There is an association between age group and the response to the question. 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 =

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 70 62 29 Rarely 38 34 32 Sometimes 33 42 40 Frequently 12 24 32 n USE 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: 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 question. Ho: There is an association between age group and the response to the question. H: There is no association between age group and the response to the question. Ho: The proportions falling into each of the three age groups are not the same for all four responses to the question. H: 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. H: There is an association between age group and the response to the question. 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 =

Holt Mcdougal Larson Pre-algebra: Student Edition 2012
Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter11: Data Analysis And Probability
Section11.5: Interpreting Data
Problem 1C
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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 70 62 29 Rarely 38 34 32 Sometimes 33 42 40 Frequently 12 24 32 A USE 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: The proportions falling into each of the three age groups are the same for all four responses to the question. The proportions falling into each of the three age groups are not the same for all four responses to the question. Ho: There is an association between age group and the response to the question. H: There is no association between age group and the response to the question. Ho: The proportions falling into each of the three age groups are not the same for all four responses to the question. H: The proportions falling into each of the three age groups are the same for all four responses to the question. O Ho: There is no association between age group and the response to the question. H: There is an association between age group and the response to the question. 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 =
Transcribed Image Text: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 70 62 29 Rarely 38 34 32 Sometimes 33 42 40 Frequently 12 24 32 A USE 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: The proportions falling into each of the three age groups are the same for all four responses to the question. The proportions falling into each of the three age groups are not the same for all four responses to the question. Ho: There is an association between age group and the response to the question. H: There is no association between age group and the response to the question. Ho: The proportions falling into each of the three age groups are not the same for all four responses to the question. H: The proportions falling into each of the three age groups are the same for all four responses to the question. O Ho: There is no association between age group and the response to the question. H: There is an association between age group and the response to the question. 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 =
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