For a given confidence interval, what is the interpretation of a 96% confidence level?
A) 96% chance that the given interval includes the true value of the population parameter
B) Approximately 96 out of 100 such intervals would include the true value of the population parameter
C) 4% chance that the given interval does not include the true value of the population parameter
D) Both a and c are true

Question

Quizplus · Accepted Answer

A 96% confidence level means that if we were to create 100 different confidence intervals using the same method, approximately 96 of them would contain the true value of the population parameter. It does not mean that there is a 96% chance that a single interval contains the true value, nor does it provide information about the chance that a particular interval contains the true value. Therefore, options A and C are incorrect. Option D is partially correct but only option B interprets the confidence level correctly.

For a Given Confidence Interval, What Is the Interpretation of a 96