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Use the table to answer the question.

Practices less than 5 hours a week Practices more than 5 hours a week
Music Competition Level 1–3 23 9
Music Competition Level 4 or Higher 10 18
Total 33 27
High school juniors were asked about how many hours a week they practice their musical instruments to prepare for a musical competition. The study included 60 participants, and its intent was to see if there was a difference between competition levels of 1 to 3 and levels 4 or higher. The results are summarized in the table. Which statement is a correct association that can be made based on the data provided?

(1 point)
Responses

All students are more likely to get a competition level of 4 or higher with less than 5 hours of practice.
All students are more likely to get a competition level of 4 or higher with less than 5 hours of practice.

There is no association between the competition level and the number of hours of practice.
There is no association between the competition level and the number of hours of practice.

If a student practices more than 5 hours, they are more likely to be at a competition level of 1–3.
If a student practices more than 5 hours, they are more likely to be at a competition level of 1–3.

There is an association between the competition level and the number of hours of practice.

1 answer

Based on the data provided in the table, we can analyze the specific practice hours in relation to the competition levels.

  • For Music Competition Level 1–3, 23 students practice less than 5 hours a week, while 9 students practice more than 5 hours.
  • For Music Competition Level 4 or Higher, 10 students practice less than 5 hours a week, while 18 students practice more than 5 hours.

From this data, we can observe that:

  • A total of 23 students practicing less than 5 hours are in Level 1–3 compared to 10 students in Level 4 or Higher.
  • Conversely, 9 students practicing more than 5 hours are in Level 1–3 compared to 18 students in Level 4 or Higher.

This suggests that students who practice more than 5 hours are more often associated with the higher competition level.

Considering the answer choices:

  1. "All students are more likely to get a competition level of 4 or higher with less than 5 hours of practice." - This is incorrect since more students at Level 1–3 practice less than 5 hours.
  2. "There is no association between the competition level and the number of hours of practice." - Incorrect because there is a clear difference in the distribution of practice hours based on competition levels.
  3. "If a student practices more than 5 hours, they are more likely to be at a competition level of 1–3." - This is not correct as there are more students with higher competition levels practicing more than 5 hours.
  4. "There is an association between the competition level and the number of hours of practice." - This statement is correct as there is a noticeable difference in practice hours among different competition levels.

Thus, the correct association based on the data is:

There is an association between the competition level and the number of hours of practice.