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

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.

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.

Answer 1

To evaluate the statements provided based on the data in the table, let's analyze the information:

• From the table:
  • For Music Competition Level 1–3:
    • Less than 5 hours of practice: 23 participants
    • More than 5 hours of practice: 9 participants
  • For Music Competition Level 4 or Higher:
    • Less than 5 hours of practice: 10 participants
    • More than 5 hours of practice: 18 participants

Now let's look at the statements:

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. There are only 10 students at a competition level of 4 or higher with less than 5 hours of practice compared to 23 students at levels 1-3.

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

   • This is not accurate. The data suggests there can be an association, as the distribution between levels and practice hours is uneven.

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

   • This seems to be the most valid statement. The distribution of participants indicates a tendency that might suggest an association.

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

   • This is inaccurate. In fact, out of those practicing more than 5 hours, the majority (18 out of 27) are at competition level 4 or higher.

Given this analysis, the correct statement based on the data provided is:

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