A survey of 1,085 adults asked, "Do you enjoy shopping for clothing for yourself?" The results indicated that 51% of the females enjoyed shopping for clothing for themselves as compared to 44% of the males. (Data extracted from "Split Decision on Clothes Shopping," USA Today, January 28, 2011, p. 1B.) The sample sizes of males and females were not provided. Suppose that the results were as shown in the following table:
Enjoy Shopping for Clothing Gender
Male Female Total
Yes 238 276 514
No 304 267 571
Total 542 543 1,085
a. Is there evidence of a significant difference between the proportion of males and females who enjoy shopping for clothing for themselves at the 0.01 level of significance?
b. Determine the p-value in (a) and interpret its meaning.
c. What are your answers to (a) and (b) if 218 males enjoyed shopping for clothing and 324 did not?
The solution provides step by step method for the calculation of chi square test for association. Formula for the calculation and Interpretations of the results are also included.