The 98% confidence interval for the mean distance for the long jump for a random sample of 50 members of a high school track and field team is (70 in., 88 in.). Which of the following statements is the correct interpretation of 98% confidence?
Answer
A
There’s a 98% chance that the mean length distance for the long jump falls between 70 inches and 88 inches.
B
98% of the confidence intervals we could construct after repeated sampling would go from 70 inches to 88 inches.
C
If we were to repeat this sampling process many times, 98% of the confidence intervals we could construct would contain the true population mean length distance for the long jump.
D
Of the total number of high school track and field members, 98% can jump between 70 inches and 88 inches.
Explanation
A 98% confidence level describes how often the interval-building method succeeds over repeated random samples. If we repeatedly took samples of 50 and constructed an interval each time, about 98% of those intervals would contain the true population mean long-jump distance. That is the interpretation given in choice C; it does not mean that 98% of individuals jump within this range.
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