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A sample of 500 shoppers was selected in a large metropolitan area to determine area to...

A sample of 500 shoppers was selected in a large metropolitan area to determine area to determine various information concerning consumer behavior. Among the question asked was, “Do you enjoy shopping for clothing?” of 240 males, 136 answered yes. Of 260 females, 224 answered yes.
a. At 0.05 level of significance, is there evidence that the proportion of women who would buy more shares while prices are low’ is less than the proportion of men?
b. Construct and interpret the 95% confidence interval estimate for the difference between the two proportions.

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