Question

(04.04 MC)

The data on the table describes the preferred type of music as surveyed by 9th graders.


Rock Pop Hip Hop Total
Males 15% 13% 21% 49%
Females 12% 16% 23% 51%
Total 27% 29% 44% 100%

Compare the conditional relative frequencies of a male preferring hip hop music to a female preferring hip hop music. Round your answers to two decimal places.
0.21 to 0.23
0.36 to 0.41
0.41 to 0.43
0.43 to 0.45

Answer 1

To compare conditional relative frequencies, divide each preference by the total for that gender. The values are 0.43 for males and 0.45 for females after rounding to two decimal places.

Step-by-step explanation:

The question asks us to compare the conditional relative frequencies of a male preferring hip hop music to a female preferring hip hop music. Conditional relative frequency is calculated by dividing the percentage of a subgroup by the total percentage of the group. For males, this frequency is 21% (hip hop preference for males) divided by 49% (total percentage of males surveyed), which equals approximately 0.4286. For females, it's 23% (hip hop preference for females) divided by 51% (total percentage of females surveyed), which equals about 0.4509. After rounding these to two decimal places, the conditional relative frequencies are 0.43 for males and 0.45 for females.