A sample of 1000 customers was selected in Rhode Island to determine various information concerning consumer...

A sample of 1000 customers was selected in Rhode Island to determine various information concerning consumer behavior. Among the questions asked was “Do you enjoy shopping at Shopping Center A?” The results are summarized in the following table.

Enjoy shopping at Shopping Center A	Gender		Total
Enjoy shopping at Shopping Center A	Male	Female	Total
Yes	272	448	720
No	208	72	280
Total	480	520	1000

Is there evidence of a significant difference between males and females in the proportion who enjoy shopping at Shopping Center A at the 0.01 level of significance?
Construct and interpret a 95% confidence interval estimate for the difference between the proportion of males and females who enjoy shopping at Shopping Center A.

Solutions

Expert Solution

therefore the 95% C.I of proportion of females and males is (0.2415,0.3481)(female-male)

so we are 95% confident that proportion of females who is enjoying shoppint at shopping center A is significantly greater than males since 0 is not lying in this Confidence Interval.

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orchestra answered 1 year ago

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