A sample of 500 respondents was selected in a large metropolitan area to determi
ID: 3238064 • Letter: A
Question
A sample of 500 respondents 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?" Of 240 males, 136 answered Yes. Of 260 females, 224 answered Yes. a. Set up a 2 times 2 contingency table to evaluate the probabilities. b. What is the probability that a respondent chosen at random is a male? c. What is the probability that a respondent chosen at random enjoys shopping for clothing? d. What is the probability that a respondent chosen at random is a female and enjoys shopping? e. What is the probability that a respondent chosen at random is a male or a female?Explanation / Answer
a) Enjoys shopping Male Female Total
Yes- 136 224 360
No 104 36 140
Total 240- 260 500
b). 240 males out of 500 total people, probability of picking a male is 240/500 = 12/25
c) enjoys clothing is P(yes) = 360 / 500 = 36/50
d) P(female) = 260 / 500 = 13 / 25
e)male or a female = P(female) *p(male) =( 260 / 500 )* (240/500 ) = (13 / 25 ) *(12/25)