Question

Chi square independent test

 

 

1. 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?” The results are summarized in the following contingency table:

Enjoy Shopping for Clothing

Gender



Male

Female

Total

Yes

136

224

360

No

104

36

140

Total

240

260

500



a. Is there evidence of a significant difference between the proportion of males and females who enjoy shopping for clothing at the 0.01 level of significance?

b. Determining the p-value in (a) and interpret its meaning.

c. What are your answers to (a) and (b) if 206 males enjoyed shopping for clothing and 34 did not?

d. Compare the results of (a) through (c).


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