Question

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. The relative frequency of people who prefer jazz who are women is 0.24. The relative frequency of men who prefer hip-hop is 0.54. The relative frequency of people who prefer rock who are men is 0.50. The relative frequency of women who prefer pop is 0.46. The relative frequency of people who prefer hip-hop who are women is 0.46.

Answer 1

pop jazz rock hip hop total

men 16 38 101 45 200

women 91 48 23 39 201

The relative frequency of people who prefer jazz who are women is 0.24 : true

48/201=0,23880..= 0,24

The relative frequency of men who prefer hip-hop is 0.54. : false

45/200=0,225

The relative frequency of people who prefer rock who are men is 0.50. : true

101/200=0,505 =0,5

The relative frequency of women who prefer pop is 0.46 : true

91/201=0,4257..=0,45

The relative frequency of people who prefer hip-hop who are women is 0.46. :false

39/201=0,194..=0,19

Explanation: