Examine the data from a survey of 10th and 11th graders about which music genre they prefer.
Hip Hop | Pop | Total
10th grade | 110 | 50 | 160
11th grade | 99 | 150 | 249
Total | 209 | 200 | 409
Using the relative frequencies, which of the following is true?
A. If you like pop, you are more likely to be a 10th grader.
B. If you are a 10th grader, you are more likely to prefer pop,
C. If you are an 11th grader, you are more likely to prefer hip-hop.
D. If you like hip-hop, you are almost equally likely to be from 10th or 11th grade.
A. If you like pop, you are more likely to be a 10th grader.
This statement is supported by the relative frequencies calculated as follows:
- For 10th graders:
- Pop: 50/160 ≈ 0.3125 (31.25%)
- Hip Hop: 110/160 ≈ 0.6875 (68.75%)
- For 11th graders:
- Pop: 150/249 ≈ 0.6024 (60.24%)
- Hip Hop: 99/249 ≈ 0.3976 (39.76%)
Based on the relative frequencies, 31.25% of 10th graders prefer pop, while only 60.24% of 11th graders prefer pop. Therefore, if you like pop, you are more likely to be a 10th grader.