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