A survey of 700 adults from a certain region asked, "Do you enjoy shopping for clothing for yourself?" The results indicated that 49% of the females enjoyed shopping for clothing for themselves as compared to 40% of the males. The sample sizes of males and females were not provided. Suppose that of 400 females, 196 said that they enjoyed shopping for clothing for themselves while of 300 males, 120 said that they enjoyed shopping for clothing for themselves. Complete parts (a) through (d) below.
A. Is there evidence of a difference between males and females in the proportion who enjoy shopping for clothing for themseles at the .01 level of significance?
B. Find the p-value in (A) and interpret its meaning.
C. Construct and interpret a 99% confidence interval estimate for the difference between the proportion of males and females who enjoy shopping for clothing for themselves.
D. What are your answers to (A) through (C) if 218 males enjoyed shopping for clothing themselves?
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