Question 25 • Probability and Statistics with Applications Honors Sem-2-FL-1210300 (2024-2025)
A guidance counselor is studying test anxiety in freshman students. A random sample of 972 high school freshmen finds that 219 of these students have had some form of test anxiety. A 95% confidence interval for the proportion of freshmen with test anxiety is (0.199, 0.252). Which statement correctly interprets the interval?
Answer
A
The guidance counselor can be 95% confident that 23% of freshmen will have some form of test anxiety.
B
There is a 95% probability that the proportion of freshmen with test anxiety lies between 0.199 and 0.252.
C
If this procedure is repeated many, many times, the true proportion of freshmen with test anxiety will be captured 95% of the time.
D
The guidance counselor can be 95% confident that the interval from 0.199 to 0.252 captures the true proportion of all freshmen who have test anxiety.