What Does It Mean If the Reported Confidence Interval for a Population

Question

What does it mean if the reported confidence interval for a population mean is 95%?
A) There is a 5% chance that the results are statistically significant.
B) There is a 95% chance that the results are statistically significant.
C) There is a 5% probability that the true mean is in the reported range.
D) There is a 95% probability that the true mean is in the reported range.

Accepted Answer

A 95% confidence interval means that there is a 95% probability that the true population mean falls within the reported range. It does not mean that there is a 95% chance that the results are statistically significant or that the true mean is outside of the reported range with a 5% probability.