A local beer producer sells two types of beer, a regular brand and a light brand with 30% fewer calories. The company’s marketing department wants to verify that its traditional approach of appealing to local white-collar workers with light beer commercials and appealing to local blue-collar workers with regular beer commercials is indeed a good strategy. A randomly selected group of 400 local workers are questioned about their beer drinking preferences, and the data in the file S04_08.xlsx are obtained.
a. If a blue-collar worker is chosen at random from this group, what is the probability that he/she prefers light beer (to regular beer or no beer at all)?
b. If a white-collar worker is chosen at random from this group, what is the probability that he/she prefers light beer (to regular beer or no beer at all)?
c. If you restrict your attention to workers who like to drink beer, what is the probability that a randomly selected blue-collar worker prefers to drink light beer?
d. If you restrict your attention to workers who like to drink beer, what is the probability that a randomly selected white-collar worker prefers to drink light beer?
e. Does the company’s marketing strategy appear to be appropriate? Explain why or why not.