Which of the following is the best interpretation of a 95% confidence interval?
A) 95% of the population is within the confidence interval.
B) We are 95% confident that the sample mean is accurate.
C) We are 95% confident that the population mean is within this interval.
D) There is a 5% chance that the population mean is within the interval.

Question

Quizplus · Accepted Answer

A 95% confidence interval means that if the same population is sampled many times and interval estimates are made each time, 95% of those intervals would contain the true population mean. Therefore, we are 95% confident that the population mean is within this interval. Option A is incorrect as we cannot determine the proportion of the population that falls within the confidence interval based on the given information. Option B is incorrect as we cannot make any statement about the sample mean being accurate based solely on the confidence interval. Option D is also incorrect as the interval implies a level of confidence, not a probability.

Which of the Following Is the Best Interpretation of a 95