Question

The nutrition supervisor for a school district is considering adding a baked potato bar to the lunch for all the high school cafeterias. He wants to determine if there is a difference in the proportion of students who would purchase from the potato bar for two high schools, East and West. The cafeteria manager at each high school randomly surveys 90 students. At East High School, 63 of the students said they would purchase the potato bar on that day.
At West High School, 45 students said they would. Based on the 99% confidence interval, (0.02, 0.38), is there convincing evidence of a difference in the proportions of students who would purchase from the potato bar between East and West High Schools?

O There is convincing evidence because the entire interval is above 0.

O There is convincing evidence because the sample proportions are different at each high school.

O There is not convincing evidence because another interval using a lower level of confidence might contain 0.

O There is not convincing evidence because the entire student body should have been asked.

Answer 1

Using the confidence interval, it is found that the correct option is:

There is convincing evidence because the entire interval is above 0.

When does a confidence interval for the difference of proportions gives convincing evidence that there is a difference?

It gives convincing evidence when 0 is not part of the confidence interval.

In this problem, the interval is (0.02, 0.38), which does not contain 0, hence the correct option is:

There is convincing evidence because the entire interval is above 0.

More can be learned about confidence intervals at https://brainly.com/question/25890103