Chapter 11, Problem 47CP

Female for president? When recent General Social Surveys have asked, “If your party nominated a woman for president, would you vote for her if she were qualified for the job?” about 94% of females and 94% of males answered yes, the rest answered no. (Source: Data from CSM, UC Berkeley.)

1. a. For males and for females, report the conditional distributions on this response variable in a 2 × 2 table, using outcome categories (yes, no).
2. b. If results for the entire population are similar to these, does it seem possible that gender and opinion about having a woman president are independent? Explain.

To determine

Report conditional distributions in a $2\times 2$ table for males and females using outcome categories.

Answer to Problem 47CP

The 2×2 contingency table of given data is given below.

Course	Vote		Total
	Yes	No
Female	94%	6%	100%
Male	94%	6%	100%

Explanation of Solution

It is given that 94% of females and 94% of males said, they vote if the party nominated a woman for president.

The 2×2 contingency table of given data is given below.

Course	Vote		Total
	Yes	No
Female	94%	$100\%-94\%=6\%$	100%
Male	94%	$100\%-94\%=6\%$	100%

To determine

Explain whether gender and opinion about having a woman president are independent.

Explanation of Solution

Two variables are said to be independent, if the population conditional distributions of variables are same.

From the given information it is observed that about 94% of males and 94% females answered yes for the given question.

Since, it is same for both male and female, it seems possible that gender and opinion about having a woman president are independent.