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. (In the sample, all of the marriages were between male-female couples.) In the sample of 105 marriages, the husband was older than the wife in 75 of them. Test to see if this sample provides evidence that, in male-female married couples, the husband is older than the wife in more than half of them. Use p to represent the proportion of all male-female married couples for which the husband is older, and show all details of the test.

Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter11: Data Analysis And Probability
Section: Chapter Questions
Problem 8CR
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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. (In the sample, all of the marriages were between male-female couples.) In the sample of 105 marriages, the husband was older than the wife in 75 of them. Test to see if this sample provides evidence that, in male-female married couples, the husband is older than the wife in more than half of them. Use p to represent the proportion of all male-female married couples for which the husband is older, and show all details of the test.

 
 
 
 
 

Test-statistic =  (round to three decimal places)
p-value =  (round to four decimal places)

Conclusion:

Reject H0. We cannot conclude that the husband is older in more than half of male-female married couples.
Reject H0. We have evidence that the husband is older in more than half of all male-female married couples.
Do not reject H0. We have evidence that the husband is older in more than half of all male-female married couples.
Do not reject H0. We cannot conclude that the husband is older in more than half of all male-female married couples.
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