Which of the following is true?
A) The 95% confidence interval is always wider than the 99% confidence interval using the same sample statistics.
B) The 99% confidence interval is always wider than the 95% confidence interval using the same sample statistics.
C) The 95% confidence interval is sometimes the same width as the 99% confidence interval using the same sample statistics.
D) The 100% confidence interval is the best confidence interval.

Question

Quizplus · Accepted Answer

A higher confidence level requires a wider interval to capture the true population parameter with more certainty. Therefore, a 99% confidence interval will always be wider than a 95% confidence interval using the same sample statistics. Option A is incorrect because the opposite is true. Option C is incorrect because it is rare for the two intervals to have the same width. Option D is incorrect because a 100% confidence interval would be the entire range of possible parameter values, which is not informative for making inferential conclusions.

Which of the Following Is True