Question
group of adults were surveyed about whether they prefer to carpool or take the bus to work.
Relative Frequency Table by Column
A 3-column table with 3 rows. Column 1 has entries men, women, total. Column 2 is labeled carpool with entries 51 percent, 49 percent, 100 percent. Column 3 is labeled bus with entries 49 percent, 51 percent, 100 percent.
Which conclusions can be drawn from the results of the survey? Check all that apply.
A person in the group who is a man is more likely to carpool.
A person in the group who is a woman is more likely to carpool.
A person in the group who is a man is more likely to take the bus.
There is no association between commuting preferences and gender.
Relative Frequency Table by Column
A 3-column table with 3 rows. Column 1 has entries men, women, total. Column 2 is labeled carpool with entries 51 percent, 49 percent, 100 percent. Column 3 is labeled bus with entries 49 percent, 51 percent, 100 percent.
Which conclusions can be drawn from the results of the survey? Check all that apply.
A person in the group who is a man is more likely to carpool.
A person in the group who is a woman is more likely to carpool.
A person in the group who is a man is more likely to take the bus.
There is no association between commuting preferences and gender.
Answers
GPT-4o mini
Based on the relative frequency table you've provided, we can analyze the preferences for carpooling and taking the bus by gender:
For men:
- 51% prefer to carpool
- 49% prefer to take the bus
For women:
- 49% prefer to carpool
- 51% prefer to take the bus
Now, let's evaluate the conclusions you provided:
1. **A person in the group who is a man is more likely to carpool.**
- **True.** 51% of men prefer to carpool, which is greater than the 49% who prefer the bus.
2. **A person in the group who is a woman is more likely to carpool.**
- **False.** 49% of women prefer to carpool, which is less than the 51% who prefer the bus.
3. **A person in the group who is a man is more likely to take the bus.**
- **False.** 49% of men prefer to take the bus, which is less than the 51% who prefer to carpool.
4. **There is no association between commuting preferences and gender.**
- **False.** The preferences indicate that men have a higher likelihood of carpooling than women, suggesting an association between gender and commuting preference.
In summary, the correct conclusion that can be drawn is:
- A person in the group who is a man is more likely to carpool.
For men:
- 51% prefer to carpool
- 49% prefer to take the bus
For women:
- 49% prefer to carpool
- 51% prefer to take the bus
Now, let's evaluate the conclusions you provided:
1. **A person in the group who is a man is more likely to carpool.**
- **True.** 51% of men prefer to carpool, which is greater than the 49% who prefer the bus.
2. **A person in the group who is a woman is more likely to carpool.**
- **False.** 49% of women prefer to carpool, which is less than the 51% who prefer the bus.
3. **A person in the group who is a man is more likely to take the bus.**
- **False.** 49% of men prefer to take the bus, which is less than the 51% who prefer to carpool.
4. **There is no association between commuting preferences and gender.**
- **False.** The preferences indicate that men have a higher likelihood of carpooling than women, suggesting an association between gender and commuting preference.
In summary, the correct conclusion that can be drawn is:
- A person in the group who is a man is more likely to carpool.