A sample of 500 respondents in a large metropolitan area was selected to study c
ID: 3317331 • Letter: A
Question
A sample of 500 respondents in a large metropolitan area was selected to study consumer behaviour. Among the questions asked was “Do you enjoy shopping for clothing?” Of 240 males, 136 answered yes. Of 260 females, 224 answered yes. Construct a contingency table to evaluate the probabilities. What is the probability that a respondent chosen at random a. enjoys shopping for clothing? b. is a female and enjoys shopping for clothing? c. is a female or enjoys shopping for clothing? d. is a male or a female?
Explanation / Answer
a) P(enjoys shopping) = 380/500 = 0.76
b) P(female and enjoys shopping) = 244/500 = 0.488
c) P(female or enjoys shopping) = (260 + 136)/500
= 336/500
= 0.672
d) P(male or a female) = 500/500 = 1
Male Female Total Enjoys shopping 136 244 380 Does not enjoy shopping 104 16 120 Total 240 260 500