Question 10 • EHS Content Recovery - Probability and Statistics - Part D
A statistics student from a large high school takes a random sample of 200 students and finds that 123 are actively involved in a political party. A 99% confidence interval for the proportion of students at this school who are actively involved in a political party is (0.526, 0.704). Which statement correctly interprets the interval?
Answer
A
The statistics student can be 99% confident that 62% of students from this school are actively involved in a political party.
B
There is a 99% probability that the proportion of students at this school who are actively involved in a political party lies between 0.526 and 0.704.
C
If this procedure is repeated many, many times, the true proportion of students at this school who are actively involved in a political party will be captured 99% of the time.
D
The statistics student can be 99% confident that the interval from 0.526 to 0.704 captures the true proportion of all students at this school who are actively involved in a political party.