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 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.

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.

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

Answer 1

To determine the correct association based on the provided data, we analyze the distribution of students practicing less than 5 hours and more than 5 hours across the two competition levels: 1–3 and 4 or higher.

1. Music Competition Level 1-3:

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

2. Music Competition Level 4 or Higher:

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

From this data, we can examine the patterns:

• Among the students practicing less than 5 hours, there are 23 students in levels 1–3 and 10 students in levels 4 or higher. This indicates that students who practice less than 5 hours are more likely to be in levels 1–3.

• Among the students practicing more than 5 hours, there are 9 students in levels 1–3 and 18 students in levels 4 or higher. This shows that students who practice more than 5 hours are more likely to be in competition levels 4 or higher.

Evaluating the statements:

1. "There is no association between the competition level and the number of hours of practice." - This is incorrect; there is an observable association.

2. "There is an association between the competition level and the number of hours of practice." - This is correct; the data shows that practice hours are associated with competition levels.

3. "All students are more likely to get a competition level of 4 or higher with less than 5 hours of practice." - This is incorrect; those practicing less than 5 hours are more concentrated in level 1–3.

4. "If a student practices more than 5 hours, they are more likely to be at a competition level of 1–3." - This is incorrect; students practicing more than 5 hours are actually more likely to be in levels 4 or higher.

Conclusion: The most accurate statement based on the data is:

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