Bot GPT 4-o mini To determine which statements are true based on the relative frequencies of music genre preferences between 10th and 11th graders, we first need to calculate the relative frequencies for each group.
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Calculate the percentage of 10th graders who prefer each genre:
- Hip-Hop: \( \frac{112}{165} \approx 0.678 \) (or 67.8%)
- Pop: \( \frac{53}{165} \approx 0.322 \) (or 32.2%)
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Calculate the percentage of 11th graders who prefer each genre:
- Hip-Hop: \( \frac{98}{245} \approx 0.4 \) (or 40%)
- Pop: \( \frac{147}{245} \approx 0.6 \) (or 60%)
Now, let's analyze each statement:
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If you like hip-hop, you are more likely to be an 11th grader.
- False. A higher percentage of 10th graders prefer hip-hop (67.8% vs. 40% of 11th graders).
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10th graders are more likely to prefer hip-hop over pop music.
- True. 10th graders prefer hip-hop at a rate of 67.8%, while only 32.2% prefer pop.
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If you like pop music, you are more likely to be a 10th grader.
- False. 11th graders are more likely to prefer pop music (60% vs. 32.2% of 10th graders).
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11th graders are more likely to prefer hip-hop over pop music.
- False. Only 40% of 11th graders prefer hip-hop, while 60% prefer pop.
Therefore, the true statement is: 10th graders are more likely to prefer hip-hop over pop music.
1 answer