Question 7 • EHS Content Recovery - Probability and Statistics - Part D
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?
Answer
A
Approximately 95% of the 50 randomly selected students use the community’s public library.
B
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.
C
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.
D
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.