Use the table to answer the question.

Question

This table displays the number of 10th and 11th-grade students who prefer either hip-hop or pop.
Hip-Hop Pop Totals
10th Grade 112 53 165
11th Grade 98 147 245
Total 210 200 410
Examine the data from a survey of 10th and 11th graders about which music genre they prefer.

Using relative frequencies, which of the following is true?

(1 point)
Responses

If you like hip-hop, you are almost equally likely to be from 10th or 11th grade.
If you like hip-hop, you are almost equally likely to be from 10th or 11th grade.

If you are a 10th grader, you are more likely to prefer pop.
If you are a 10th grader, you are more likely to prefer pop.

If you like pop, you are more likely to be a 10th grader.
If you like pop, you are more likely to be a 10th grader.

If you are an 11th grader, you are more likely to prefer hip-hop.
pick 1st 2nd 3rd or 4th must be one

Answer 1

To determine which statement is true using relative frequencies, we should analyze the data in the table based on the preferences for hip-hop and pop among 10th and 11th graders.

1. If you like hip-hop, you are almost equally likely to be from 10th or 11th grade.

   • Total hip-hop fans: 210 (112 from 10th grade and 98 from 11th grade)
   • Proportion from 10th grade: 112 / 210 ≈ 0.533 (53.3%)
   • Proportion from 11th grade: 98 / 210 ≈ 0.467 (46.7%)
   • This statement is true because the proportions are relatively close.

2. If you are a 10th grader, you are more likely to prefer pop.

   • Total 10th graders: 165 (53 prefer pop)
   • Proportion of 10th graders who prefer pop: 53 / 165 ≈ 0.32 (32%)
   • Proportion of 10th graders who prefer hip-hop: 112 / 165 ≈ 0.68 (68%)
   • This statement is false.

3. If you like pop, you are more likely to be a 10th grader.

   • Total pop fans: 200 (53 from 10th grade and 147 from 11th grade)
   • Proportion from 10th grade: 53 / 200 = 0.265 (26.5%)
   • Proportion from 11th grade: 147 / 200 = 0.735 (73.5%)
   • This statement is false.

4. If you are an 11th grader, you are more likely to prefer hip-hop.

   • Total 11th graders: 245 (98 prefer hip-hop)
   • Proportion of 11th graders who prefer hip-hop: 98 / 245 ≈ 0.4 (40%)
   • Proportion of 11th graders who prefer pop: 147 / 245 ≈ 0.6 (60%)
   • This statement is false.

The correct answer is: If you like hip-hop, you are almost equally likely to be from 10th or 11th grade.