A principal of a large high school wants to estimate the true proportion of high school students who use the community’s public library. To do so, he selects a random sample of 50 students and asks them if they use the community’s public library. The 95% confidence interval for the true proportion of all students who use the community’s public library is 0.25 to 0.34. Which of these statements is a correct interpretation of the confidence level? Approximately 95% of the 50 randomly selected students use the community’s public library.
The principal can be 95% confident that the interval from 0.25 to 0.34 captures the true proportion of high school students who use the community’s public library.
If many random samples of size 50 are selected from all students at this school, approximately 95% of the intervals would capture the true proportion of students who use the community’s public library.
Approximately 95% of the intervals, based upon random samples of size 50 from all students in this high school, will find that between 25% and 34% of students at this school use the community’s public library.