Question

drag the answers into the boxes to match them with the appropriate questions.
what proportion of men prefer action movies?
what proportion of women prefer action movies?
based on the data does it seem there is an association between gender and favorite movie type?
no, both genders show a preference for action movies.
yes, men prefer action movies and women prefer comedies. 0.34 0.42 0.56 0.66

Explanation:

To solve this matching problem, we analyze each question and the available answers:

1. "What proportion of men prefer action movies?"

Proportions are numerical values (0.34, 0.42, 0.56, 0.66). Typically, men’s preference for action movies is higher, so we choose the largest proportion, 0.66.

2. "What proportion of women prefer action movies?"

For women, the proportion of action movie preference is lower than men’s, so we choose a smaller value, such as 0.34 (or another lower value from the options; 0.34 is a common lower proportion for women in such contexts).

3. "Based on the data does it seem there is an association between gender and favorite movie type?"

The answer must be a yes/no explanation. The option "No, both genders show a preference for action movies" or "Yes, men prefer action movies and women prefer comedies" fits. If both prefer action, there’s no association (so "No, both genders show a preference for action movies").

Final Matches:

• What proportion of men prefer action movies? → 0.66
• What proportion of women prefer action movies? → 0.34 (or 0.42/0.56, but 0.34 is the lowest, fitting women’s lower preference)
• Based on the data does it seem there is an association between gender and favorite movie type? → No, both genders show a preference for action movies (or "Yes..." if data shows a difference; here, "No" is consistent with shared preference).

(Note: The numerical answers (0.34, 0.42, 0.56, 0.66) are proportions, so we match the highest to men, lowest to women. The association question uses the explanatory answer.)

Answer:

• What proportion of men prefer action movies? → 0.66
• What proportion of women prefer action movies? → 0.34
• Based on the data does it seem there is an association between gender and favorite movie type? → No, both genders show a preference for action movies

(Or adjust numerical matches if context implies different proportions, but the logic holds: men’s proportion > women’s proportion, and association depends on preference differences.)