Question

ben asks a random sample of 400 seventh - grade students at his school whether or not they like comedies. after collecting the data, ben concludes that most seventh - grade students at his school like comedies. which of the statements about the data would best support ben’s conclusion? a all of ben’s friends in seventh grade like comedies. b most of the female students in the sample like comedies. c of the 400 students in the sample, 250 of them like comedies. d more than 80% of the students in the math club like comedies.

Explanation:

To support the conclusion that most seventh - grade students like comedies, we need data from the sample of 400 students.

• Option A: Ben's friends are a biased sample, not representative of all seventh - grade students.
• Option B: Only female students in the sample are considered, not the whole sample, so it doesn't fully support the conclusion about most seventh - grade students.
• Option C: In the sample of 400 students, 250 like comedies. Since \(\frac{250}{400}=0.625\) or 62.5% of the sample likes comedies, which is more than half, this supports the conclusion that most (a majority) of seventh - grade students like comedies.
• Option D: The math club is a specific group, not representative of all seventh - grade students.

Answer:

C. Of the 400 students in the sample, 250 of them like comedies.