A consumer report magazine (Magazine A) claims that 50% of all Canadians make at
ID: 3058084 • Letter: A
Question
A consumer report magazine (Magazine A) claims that 50% of all Canadians make at least one major electronics purchase (i.e., new computer, new phone, new TV, etc.) every year. A different magazine (Magazine B) disagrees with the claim of 50% and suspects that the percentage is something different. Magazine B randomly polls 120 Canadians and asks if they have made at least one major electronics purchase in the last 12 months. This data is in the “purchase.csv” data file. A value of “1” indicates that at least one major electronics purchase has been made in the last 12 months, and a value of “0” indicates that no major electronics purchase has been made in the last 12 months. a) Find p, the sample proportion of Canadians who had made at least one major electronics purchase in the last 12 months. b) Suppose Magazine B wishes to conduct a hypothesis test to assess their claim. State the appropriate null and alternative hypotheses for this hypothesis test. c) State the test statistic (as printed by R) and p-value for a test of the above hypotheses (use R to compute these values). d) Interpret the meaning of the p-value. e) Using = 0.05, what conclusion do we come to with respect to our hypotheses?
purchase 1 1 1 1 0 0 1 0 1 0 0 1 0 0 1 0 1 1 1 1 0 0 0 1 0 1 0 1 1 1 0 0 0 1 1 1 1 1 1 0 0 1 1 0 0 0 0 0 1 1 0 0 1 0 1 0 0 0 1 1 0 0 0 0 0 1 0 0 0 0 0 1 1 1 0 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 1 0 0 1 0 1 1 0 1 0 1 1 1 1 1 0 0 1 0 0 1 1 0 0 1 0 1 0 0 0Explanation / Answer
A consumer report magazine (Magazine A) claims that 50% of all Canadians make at least one major electronics purchase (i.e., new computer, new phone, new TV, etc.) every year. A different magazine (Magazine B) disagrees with the claim of 50% and suspects that the percentage is something different. Magazine B randomly polls 120 Canadians and asks if they have made at least one major electronics purchase in the last 12 months. This data is in the “purchase.csv” data file. A value of “1” indicates that at least one major electronics purchase has been made in the last 12 months, and a value of “0” indicates that no major electronics purchase has been made in the last 12 months. a) Find p, the sample proportion of Canadians who had made at least one major electronics purchase in the last 12 months. b) Suppose Magazine B wishes to conduct a hypothesis test to assess their claim. State the appropriate null and alternative hypotheses for this hypothesis test. c) State the test statistic (as printed by R) and p-value for a test of the above hypotheses (use R to compute these values). d) Interpret the meaning of the p-value. e) Using = 0.05, what conclusion do we come to with respect to our hypotheses?
purchase 1 1 1 1 0 0 1 0 1 0 0 1 0 0 1 0 1 1 1 1 0 0 0 1 0 1 0 1 1 1 0 0 0 1 1 1 1 1 1 0 0 1 1 0 0 0 0 0 1 1 0 0 1 0 1 0 0 0 1 1 0 0 0 0 0 1 0 0 0 0 0 1 1 1 0 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 1 0 0 1 0 1 1 0 1 0 1 1 1 1 1 0 0 1 0 0 1 1 0 0 1 0 1 0 0 0Related Questions
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