Phoebe has a theory that older students at her high school are more likely to bring a bag lunch than younger students, because they have grown tired of cafeteria food. she takes a simple random sample of 80 sophomores and finds that 52 of them bring a bag lunch. a simple random sample of 104 seniors reveals that 78 of them bring a bag lunch. letting p1 = proportion of sophomores who bring a bag lunch, and p2 = proportion of seniors who bring a bag lunch, phoebe tests the hypotheses

Question

Andres Ponce

Mathematics

10 January, 18:45

Phoebe has a theory that older students at her high school are more likely to bring a bag lunch than younger students, because they have grown tired of cafeteria food. she takes a simple random sample of 80 sophomores and finds that 52 of them bring a bag lunch. a simple random sample of 104 seniors reveals that 78 of them bring a bag lunch. letting p1 = proportion of sophomores who bring a bag lunch, and p2 = proportion of seniors who bring a bag lunch, phoebe tests the hypotheses

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Eden Charles · Answer 1

It appears that the older students bring there lunch more than the younger students.

For the sophomores, the amount is 52 out of 80 or 65%.

For the seniors, the amount is 78 out of 104 or 75%.

From this simple measure, the seniors are bringing their lunch more.