Which of the following statements is correct?
A) A confidence interval describes a range of values that is likely not to include the actual population parameter
B) A confidence interval is an estimate of the range for a sample statistic.
C) A confidence interval is an estimate of the range of possible values for a population parameter.
D) None of these statements is correct.

Question

Quizplus · Accepted Answer

A confidence interval is a range of plausible values for a population parameter, typically estimated from a sample statistic. It is intended to capture the true population value with a certain level of confidence. Thus, statement C is correct as it accurately describes what a confidence interval represents. Statement A is incorrect as a confidence interval is actually likely to include the true population parameter some percentage of the time (depending on the level of confidence chosen). Statement B is not entirely accurate as a confidence interval is not specifically an estimate for a sample statistic, but rather an estimate for a population parameter based on a sample.

Which of the Following Statements Is Correct