Question
Like playing tennis Do not like playing tennis
7th Grade 0.42 0.58
8th Grade 0.47 0.53
A group of 7th and 8th graders were asked if they like playing tennis. This two-way frequency table shows the proportion of students from each grades 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.
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.
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.
For both grades, more students like playing tennis than did not like playing tennis.
Compared to the 8th graders, a smaller percentage of the 7th graders like playing tennis.
7th Grade 0.42 0.58
8th Grade 0.47 0.53
A group of 7th and 8th graders were asked if they like playing tennis. This two-way frequency table shows the proportion of students from each grades 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.
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.
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.
For both grades, more students like playing tennis than did not like playing tennis.
Compared to the 8th graders, a smaller percentage of the 7th graders like playing tennis.
Answers
GPT-4o mini
Let's analyze the given proportions from the two-way frequency table for both 7th and 8th graders:
- **7th Graders**:
- Like Playing Tennis: 0.42 (42%)
- Do Not Like Playing Tennis: 0.58 (58%)
- **8th Graders**:
- Like Playing Tennis: 0.47 (47%)
- Do Not Like Playing Tennis: 0.53 (53%)
Now, let's evaluate each statement:
1. **The 8th graders have a larger percentage of students that do not like playing tennis than do like playing tennis.**
- **True**: 53% of 8th graders do not like playing tennis, which is greater than the 47% who do.
2. **Among the 7th graders, more students like playing tennis than do not like playing tennis.**
- **False**: 58% of 7th graders do not like tennis, which is more than the 42% who do.
3. **For both grades, more students like playing tennis than do not like playing tennis.**
- **False**: While 8th graders are closer (47% like vs. 53% do not), 7th graders have more not liking tennis (58% do not vs. 42% like), so this is not true for either grade.
4. **Compared to the 8th graders, a smaller percentage of the 7th graders like playing tennis.**
- **True**: 42% of 7th graders like tennis, which is smaller than the 47% of 8th graders.
### Summary of Correct Answers:
- The 8th graders have a larger percentage of students that do not like playing tennis than do like playing tennis.
- Compared to the 8th graders, a smaller percentage of the 7th graders like playing tennis.
- **7th Graders**:
- Like Playing Tennis: 0.42 (42%)
- Do Not Like Playing Tennis: 0.58 (58%)
- **8th Graders**:
- Like Playing Tennis: 0.47 (47%)
- Do Not Like Playing Tennis: 0.53 (53%)
Now, let's evaluate each statement:
1. **The 8th graders have a larger percentage of students that do not like playing tennis than do like playing tennis.**
- **True**: 53% of 8th graders do not like playing tennis, which is greater than the 47% who do.
2. **Among the 7th graders, more students like playing tennis than do not like playing tennis.**
- **False**: 58% of 7th graders do not like tennis, which is more than the 42% who do.
3. **For both grades, more students like playing tennis than do not like playing tennis.**
- **False**: While 8th graders are closer (47% like vs. 53% do not), 7th graders have more not liking tennis (58% do not vs. 42% like), so this is not true for either grade.
4. **Compared to the 8th graders, a smaller percentage of the 7th graders like playing tennis.**
- **True**: 42% of 7th graders like tennis, which is smaller than the 47% of 8th graders.
### Summary of Correct Answers:
- The 8th graders have a larger percentage of students that do not like playing tennis than do like playing tennis.
- Compared to the 8th graders, a smaller percentage of the 7th graders like playing tennis.