Use the table to answer the question.

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

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

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.
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Answer 1

Based on the data provided in the table, we can analyze the distribution of participants across the categories of competition levels and hours of practice.

Here is a breakdown of the information:

• For Music Competition Level 1–3:

  • Less than 5 hours: 23 participants
  • More than 5 hours: 9 participants

• For Music Competition Level 4 or Higher:

  • Less than 5 hours: 10 participants
  • More than 5 hours: 18 participants

Now, we can interpret the statements based on the data:

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

   • This statement is likely true because the distribution of participants differs between competition levels based on hours practiced.

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

   • This statement is incorrect. There are more participants in the higher competition level (Level 4 or Higher) who practice more than 5 hours (18) than those in Level 1–3 (9).

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

   • This statement is also incorrect because there are more students practicing less than 5 hours in Level 1–3 than in Level 4 or Higher.

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

   • This statement is incorrect based on the data, as we can see differences in practice hours associated with competition levels.

The correct statement from the options provided is:

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