A statistician constructs many 95% confidence intervals for a population mean using independent random samples.
Which statement best describes the meaning of "95% confidence"?
- A
The probability that any one interval contains the mean is 0.95.
- B
The sample mean lies in 95% of intervals.
- Ccheck_circle
About 95% of such intervals would capture the true population mean.
- D
95% of the data will fall within the interval.
Explanation
Confidence level refers to the long-run capture rate of the procedure across repeated samples.