Which of the following is a correct interpretation of a "95% confidence interval" for a regression parameter?
A) We are 95% sure that the interval contains the true value of the parameter
B) We are 95% sure that our estimate of the coefficient is correct
C) We are 95% sure that the interval contains our estimate of the coefficient
D) In repeated samples, we would derive the same estimate for the coefficient 95% of the time

Question

Quizplus · Accepted Answer

A 95% confidence interval means that if we were to take many samples and build a confidence interval from each of those samples, 95% of those intervals would contain the true parameter value. It does not guarantee that the specific interval calculated from a single sample contains the true value with 95% certainty, nor does it make claims about the accuracy of the estimate itself or the repeatability of the estimate.

Which of the Following Is a Correct Interpretation of a "95