A 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.

1 answer

Based on the relative frequency table provided, the conclusions that can be drawn are as follows:

  1. A person in the group who is a man is more likely to carpool. - This statement is true since 51% of men prefer to carpool compared to 49% who prefer to take the bus.

  2. A person in the group who is a woman is more likely to carpool. - This statement is false because 49% of women prefer carpooling while 51% prefer the bus.

  3. A person in the group who is a man is more likely to take the bus. - This statement is false as well; men are more likely to carpool (51% carpooling vs. 49% taking the bus).

  4. There is no association between commuting preferences and gender. - This statement is false because there is a difference in preferences between men and women.

So the only conclusion that can be drawn based on the data is:

  • A person in the group who is a man is more likely to carpool.