Question

Complete the two-way frequency table below, which shows the relationship between a person's gender and whether he or she wears his or her favorite sports team's jersey to sporting events. From a sample of 70 people entering a sports venue, it is found that there are 26 females, 45 people wearing a team jersey, and 17 females not wearing a team jersey.
                Team Jersey       No Team Jersey    Total
Female                                           17                 26
Male
Total                45                                                70


What is the probability (rounded to the nearest whole percent) that a person entering a sports venue will be a male given that he or she is wearing a team jersey? Are the events being male and wearing a team jersey independent?
A. 80%; they are independent
B. 80%; they are not independent
C. 82%; they are not independent
D. 51%; they are independent

Answer 1

After completing the frequency table, the fraction would be 36/45 = .8. As a percentage .8 is 80%. I also believe it is independent, therefore, the answer is A.