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). Gender Enjoys shopping for clothing Male Female Total Yes 125 224 349 No 113 38 151 Total 238 262 500 a. 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) = 0.1450 (Round to four decimal places as needed.) b. 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.) c. Are enjoying shopping for clothing and the gender of the individual independent? Explain.
Added by Valerie C.
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Given: Total number of female respondents = 262 Number of female respondents who do not enjoy shopping = 38 \[ P(\text{does not enjoy shopping | female}) = \frac{38}{262} \approx 0.1450 \] ** Show more…
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