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Use the table to answer the question.

choose the ones i given you at the bottom
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 are an 11th grader, you are more likely to prefer hip-hop.
If you are an 11th grader, you are more likely to prefer hip-hop.

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 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.
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1 answer

To determine which statement is true, we need to calculate the relative frequencies based on the data provided in the table.

Here's a summary of the relevant numbers:

The table:

              Hip-Hop      Pop      Totals
10th Grade      112        53      165
11th Grade       98       147      245
Total           210       200      410

Relative Frequencies

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

    • 11th graders who prefer hip-hop: 98
    • Total 11th graders: 245
    • Relative frequency: \( \frac{98}{245} \approx 0.40 \) or 40%

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

    • Pop preference in 10th graders: 53
    • Total pop preference: 200
    • Relative frequency: \( \frac{53}{200} = 0.265 \) or 26.5% (not likely to be 10th grader)

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

    • Hip-hop preference in 10th graders: 112
    • Total hip-hop preference: 210
    • Relative frequency for 10th grade: \( \frac{112}{210} \approx 0.533 \) or 53.3%
    • Relative frequency for 11th grade: \( \frac{98}{210} \approx 0.467 \) or 46.7%
    • This shows that it's not equally likely, leaning more towards 10th graders.

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

    • Pop preference in 10th graders: 53
    • Total in 10th grade: 165
    • Relative frequency: \( \frac{53}{165} \approx 0.32 \) or 32%
    • Which leads us to the conclusion that they prefer hip-hop more (as hip-hop is 112).

Conclusion

The correct statement is: If you are an 11th grader, you are more likely to prefer hip-hop.