Which statement is not true about the 95% confidence level?
A) Confidence intervals computed by using the same procedure will include the true population value for 95% of all possible random samples taken from the population.
B) The procedure that is used to determine the confidence interval will provide an interval that includes the population parameter with probability of 0.95.
C) The probability that the true value of the population parameter falls between the bounds of an already computed confidence interval is roughly 95%.
D) If we consider all possible randomly selected samples of the same size from a population, the 95% is the percentage of those samples for which the confidence interval includes the population parameter.

Question

Quizplus · Accepted Answer

The probability that the true value of the population parameter falls within an already computed confidence interval is not 95%. Once the interval is computed, the true parameter either is or is not within it; the 95% confidence level refers to the procedure's long-run success rate in capturing the true parameter, not the probability of any single computed interval containing that parameter.

Which Statement Is Not True About the 95% Confidence Level