In: Math
It has been reported that men are more likely than women to participate in online auctions. A recent study found that 52% of Internet shoppers are women and that 35% of Internet shoppers have participating in online auctions. Moreover, 25% of online shoppers were men and had participated in online auctions.
a) Construct the contingency table below.
b) Given that an individual participates in online auctions, what is the probability that individual is a man?
c) Given that an individual participates in online auctions, what is the probability that individual is a woman?
d) Are gender and participation in online auctions independent? Explain using any two probability calculations based on the contingency table above.