group of adults were surveyed about whether they prefer to carpool or take the bus to work.

Question

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.

Answer 1

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.