A survey of 500 shoppers was taken in a large metropolitan area to determine various information about consumer behavior. Among the questions asked was, "Do you enjoy shopping for clothing?" Of 240 males, 136 answered yes. Of 260 females, 224 answered yes.
a. Is there evidence of a significant difference between males and females in the proportion who enjoy shopping for clothing at the 0.01 level of significance?
b. Find the p-value in (a) and interpret its meaning.
c. Construct and interpret a 99% confidence interval estimate for the difference between the proportion of males and females who enjoy shopping for clothing.
d. What are your answers to (a) through (c) if 206 males enjoyed shopping for clothing?