Question

What proportion of college students plan to major in Business? A 90% confidence interval is constructed based on data collected from 250 college students, and the interval is found to be from 0.18 to 0.27. Which of the following statements is a correct interpretation of this confidence interval?

A We are confident that 90% of all students in the population plan to major in Business.

B We are 90% confident the proportion of students in our sample who plan to major in Business is between 0.18 and 0.27.

C We are 90% confident the population proportion of students who plan to major in Business is between 0.18 and 0.27.

D We are 90% confident that if we randomly select one student from the population, there is between an 18% to 27% chance that student will major in business.

E We are 90% confident no errors were made in constructing the confidence interval.

Answer 1

We have give 90% confidence interval for population proportion is 0.18 to 0.27

Interpretation:

Ans: C) We are 90% confident that Population proportion of students who plans to major in business is between 0.18 to 0.27