Difference in the proportion of males and females


Discussion:

Q: A sample of 500 respondents was selected in a large metropolitan area in order to determine information concerning consumer behavior. Among the questions asked was "Do you enjoy shopping for clothing?"

Of the 240 males, 136 answered "Yes".
Of the 260 females, 224 answered "Yes".

a Is there evidence of a difference in the proportion of males and females who enjoy shopping for clothing? Use alpha = 0.05

b Suppose that instead of determining where there is a difference between the two groups in 5.1, we wish to know if there is evidence that the proportion of females who enjoy shopping for clothing is higher than the proportion of males? What is your conclusion at the 5% level of significance?

 

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