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Are Husbands More Likely to Be Older Than Wives? Exercise 2.213 introduces a dataset giving the ages of the two people getting married for a

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Are Husbands More Likely to Be Older Than Wives? Exercise 2.213 introduces a dataset giving the ages of the two people getting married for a sample of marriage licenses, and in Exercise 4.73 we examine whether, on average, husbands are older than their wives. In this exercise, we examine whether it is more likely that the husband is older, in male-female married couples. In the sample, the husband is older in 71.4% of the couples. We wish to determine whether this sample provides evidence that the proportion of male female married couples for which the husband is older is greater than 0.5. A randomization distribution for this test is shown in the figure below. 250 200 150 100 50 0 0.40 0.45 0.60 0.65 010) 0.55 null=0.5 Randomization distribution for proportion with husband older (a) Give the null and alternative hypotheses, using p to represent the proportion of all male-female married couples for which the husband is older Edit !! # 2 + P !! P2 :: :: 0.5 !! P A !! !! P 1 P1 !! P Ho: vs Ho: e Textbook and Media X Your answer is incorrect. (b) Where is the randomization distribution centered? e Textbook and Media X Your answer is incorrect. (c) Give notation and value for the sample statistic. t! 1:1 Edit 11 P !! P: ++ P2 11 p I! HP 11 P 11 P2 tr 11 0.714 Sample statistic: e Textbook and Media

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