Question

that like or do not like playing tennis.
which conclusions can be made from this table?
select each correct answer.
the 8th graders have a larger
percentage of students that do not like
playing tennis than do like playing
tennis.
among the 7th graders, more students
like playing tennis than do not like
playing tennis.
for both grades, more students like
playing tennis than did not like playing
tennis.
compared to the 8th graders, a smaller
7th
grade
0.42
0.58
8th
grade
0.47
0.53

Explanation:

To solve this, we analyze each option by comparing the given probabilities (assuming the first column is "like tennis" and the second is "do not like tennis"):

Option 1: 8th graders - not like vs like

For 8th grade: "like" = \( 0.47 \), "do not like" = \( 0.53 \). Since \( 0.53 > 0.47 \), the percentage of students who do not like tennis is larger than those who like it. This conclusion is correct.

Option 2: 7th graders - like vs not like

For 7th grade: "like" = \( 0.42 \), "do not like" = \( 0.58 \). Since \( 0.42 < 0.58 \), more students do not like tennis (not like > like). So the statement "more students like than do not like" is incorrect.

Option 3: Both grades - like vs not like

• 7th grade: \( 0.42 \) (like) vs \( 0.58 \) (not like) → not like > like.
• 8th grade: \( 0.47 \) (like) vs \( 0.53 \) (not like) → not like > like.

Thus, for both grades, more students do NOT like tennis (not like > like). The statement "more students like than do not like" is incorrect.

• For the first option, 8th grade "do not like" (0.53) > "like" (0.47), so the conclusion holds.
• For the second option, 7th grade "do not like" (0.58) > "like" (0.42), so the conclusion is wrong.
• For the third option, both grades have "do not like" > "like", so the conclusion is wrong.

Answer:

The 8th graders have a larger percentage of students that do not like playing tennis than do like playing tennis. (The checkbox for this option should be selected.)