When recent General Social Surveys have asked, “If your party nominated a woman

Question

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 answering no. a. For males and for females, report the conditional distributions on this response variable in a 2 x 2 table, using outcome categories (yes, no). 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.

Explanation / Answer

Hi! Here, as it is not given, I assumed that the number of women are the same as the number of men.

a)

b)

Yes, because from the table,

P(V) = 0.94

and

P(V|M) = P(V n M)/P(M) = 0.47/0.5 = 0.94

as

P(V) = P(V|M)

then gender and opinion about having a woman President are independent.

Male Female Total Vote 0.94*0.5=0.47 0.94*0.5=0.47 0.94 Not Vote 0.5-0.47=0.03 0.5-0.47=0.03 0.06 0.5 0.5 1

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