Question

The proper interpretation of a 95% confidence interval is: A. We are 95% confident that the point estimate is between the lower confidence limit and upper confidence limit. B. We are 95% confident that the population parameter is between the lower confidence limit and upper confidence limit. C. We are 95% confident that the test statistic is between the lower confidence limit and upper confidence limit. D. We are 95% confident that the sample mean is between the lower confidence limit and upper confidence limit.

Answer 1

Answer: B. We are 95% confident that the population parameter is between the lower confidence limit and upper confidence limit.

Explanation:

In statistics, we know that the interpretation of
`(1-\alpha)\%` level of confidence interval is that we are
`(1-\alpha)\%` sure that the true population parameter lies in it.

Therefore, the proper interpretation of a 95% confidence interval is that we are 95% confident that the population parameter is between the lower confidence limit and upper confidence limit.