The correct statements are:
A- More seventh graders prefer art class to music class as an elective.
B- Students who prefer art class are more likely to be eighth graders.
C- There is an association between a student's grade level and the electives they prefer.
Based on the data in the table, the following statements are true:
a. More seventh graders prefer art class to music class as an elective.
From the table, we can see that the relative frequency for seventh graders preferring art class is 0.24, while the relative frequency for seventh graders preferring music class is 0.18. Since 0.24 is greater than 0.18, we can conclude that more seventh graders prefer art class to music class.
b. Students who prefer art class are more likely to be eighth graders.
The relative frequency for eighth graders preferring art class is 0.20, while the relative frequency for eighth graders preferring music class is 0.38. Since 0.20 is less than 0.38, we can conclude that students who prefer art class are more likely to be eighth graders.
c. There is an association between a student's grade level and the electives they prefer.
From the table, we can observe different relative frequencies for each grade level and the electives they prefer. Seventh graders have a higher relative frequency for art class, while eighth graders have a higher relative frequency for music class. This suggests that there is an association between a student's grade level and the electives they prefer.
d. There is no association between a student's grade level and the electives they prefer.
This statement is false. As explained in the previous point, there is an association between a student's grade level and the electives they prefer.