Which of the following statements would be the correct way to state a conclusion regarding a 95% confidence interval?
A) There is a 95% probability that the population mean is between 131.65 and 135.78.
B) There is a .95 probability that the population mean is between 131.65 and 135.78.
C) There is a .95 probability that the interval of 131.65 and 135.78 contains the population mean.
D) There is a 95% probability that the interval of 131.65 and 135.78 contains the population mean.

Question

Quizplus · Accepted Answer

A confidence interval does not give a probability statement about a single point estimate. It is a statement about the interval itself. In this case, we can say that we are 95% confident that the true population mean falls within the interval 131.65 to 135.78. Therefore, choice C is the correct way to state a conclusion about a 95% confidence interval.

Which of the Following Statements Would Be the Correct Way