What percentage of times will the mean, or population proportion, not be found within the confidence interval
To determine the percentage of times the mean or population proportion will not be found within the confidence interval, you need to know the level of confidence you are using. Confidence intervals are constructed with a certain level of confidence, usually expressed as a percentage.
For example, if you are using a 95% confidence level, it means that you are 95% confident that the calculated confidence interval contains the true population mean or proportion. In this case, there is only a 5% chance that the true value is outside the confidence interval. So, 5% of the time, the mean or proportion will not be found within the confidence interval.
To calculate the exact percentage of times the mean or proportion will not be found within the confidence interval, you would need to know the specific values of your sample, the sample size, and the formula used to construct the confidence interval.