Does income increase when you get married? To investigate this,a college student has randomly selected people from his college town and collected income data for these people.They were categorized according to their marital status.The following results (in thousands of dollars)were obtained. The data are to be analyzed using the Wilcoxon rank sum test.The null hypothesis is that income has the same distribution for married and unmarried people.What is the appropriate alternative hypothesis?
A)The distribution of income for married people has values that are systematically larger than for unmarried people.
B)The distribution of income for unmarried people has values that are systematically larger than for married people.
C)The distribution of income for one of the two groups of people has values that are systematically larger than for the other group.
D)None of the above

Question

Does income increase when you get married? To investigate this,a college student has randomly selected people from his college town and collected income data for these people.They were categorized according to their marital status.The following results (in thousands of dollars)were obtained.  The data are to be analyzed using the Wilcoxon rank sum test.The null hypothesis is that income has the same distribution for married and unmarried people.What is the appropriate alternative hypothesis?
A)The distribution of income for married people has values that are systematically larger than for unmarried people. 
B)The distribution of income for unmarried people has values that are systematically larger than for married people. 
C)The distribution of income for one of the two groups of people has values that are systematically larger than for the other group. 
D)None of the above

Quizplus · Accepted Answer

The alternative hypothesis should reflect the possibility that income is not the same for married and unmarried people. In this case, the appropriate alternative hypothesis is that the distribution of income for married people has values that are systematically larger than for unmarried people. This reflects the idea that getting married may lead to increased financial stability and higher incomes for some individuals.

Does Income Increase When You Get Married? to Investigate This,a