Which of the following is the most correct way of describing

Which of the following is the most correct way of describing a 95% confidence interval?

a)There is a 95% probability that the true population mean is in the confidence interval.

b) We are 95% confident that the interval contains the true population mean.

c) 95% of sample means are inside the confidence interval.

d) 95% of confidence intervals contain the true population mean.

Solution

a) There is a 95% probability that the true population mean is in the confidence interval.

n statistics, a confidence interval (CI) is a type of interval estimate of a population parameter. It is an observed interval (i.e., it is calculated from the observations), in principle different from sample to sample, that frequently includes the value of an unobservable parameter of interest if the experiment is repeated. How frequently the observed interval contains the parameter is determined by the confidence level or confidence coefficient. More specifically, the meaning of the term \"confidence level\" is that, if CI are constructed across many separate data analyses of replicated (and possibly different) experiments, the proportion of such intervals that contain the true value of the parameter will match the given confidence level