Question: A sample of 500 shoppers was selected in a large metropolitan area to determine various information concerning 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 & females in the proportion that enjoy shopping for clothing at the 0.01 level of significance?
[B] Find p-value in (a) & interpret its meaning
[C] Construct & interpret a 99% confidence interval estimate of the difference between the proportion of males & females who enjoy shopping for clothing.
[D] What are your answers to (a) through (c) if 206 males enjoy shopping for clothing?