Q:

A radio station surveyed a group of men and women, asking them to name the genre of music they prefer. This table shows the survey results.               Pop Jazz Rock Hip-Hop  Men       16     38   101      45 Women  91    48    22     39 Which statements about this data are true? Round your answers to the nearest hundredth. A. The relative frequency of people who prefer jazz who are women is 0.24. B. The relative frequency of men who prefer hip-hop is 0.54. C. The relative frequency of people who prefer rock who are men is 0.50. D. The relative frequency of women who prefer pop is 0.46.E. The relative frequency of people who prefer hip-hop who are women is 0.46.

Accepted Solution

A:
total people:
16 + 38 +101 +45 + 91 + 48 + 22 + 39 = 400
 total men: 16 + 38 + 101 + 45 = 200
total women = 400-200 = 200

total pop: 16+91 = 107
jazz = 38+48 = 86
rock: 101+22 = 123
hip hop: 45 +39 = 84

A. 48 / 400 = 0.12

B. 45/200 = 0.23

C. 101/400 = 0.25

D. 91/200 = 0.46

E: 39/400 = 0.10
 D is the only correct one if I did my math correctly