A sample of 500 respondents was selected in a large metropolitan area to study c

Question

A sample of 500 respondents was selected in a large metropolitan area to study consumer behavior. The resulting contingency table is shown to the right. Complete parts (a) through (c). Suppose the respondent chosen is a female. What is the probability that she does not enjoy shopping for clothing? P(does not enjoy shopping|female) = (Round to four decimal places as needed.) Suppose the respondent chosen enjoys shopping for clothing. What is the probability that the individual is a male? P(male|enjoys shopping) = (Round to four decimal places as needed.) Are enjoying shopping for clothing and the gender of the individual independent? Explain. Yes, because P(male|enjoys shopping) is not equal to P(male). No, because P(male|enjoys shopping) = P(male). Yes, because P(male|enjoys shopping) = P(male). No, because P(male|enjoys shopping) is not equal to P(male).

Explanation / Answer

a) P(does not enjoy shopping|female)=47/235=0.2

b) P(male|enjoy shopping) =140/328=0.4268

c)Option D is correct

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