A researcher conducts a study and rejects the null hypothesis at an alpha level of .02. Which of the following is true?
A) The difference in population means could not have happened by chance
B) There is a 98% chance that the true population mean difference is within the confidence interval
C) The true population mean difference would be in 98 of the confidence intervals but not in two of them
D) b and c

Question

Quizplus · Accepted Answer

The correct answers are B and C because rejecting the null hypothesis at an alpha level of .02 means there is a 2% chance of making a Type I error (rejecting a true null hypothesis), implying a 98% confidence level in the results. B) suggests a 98% confidence that the true population mean difference is within the specified interval, aligning with the confidence level. C) is a different way of expressing the same concept, indicating that if the experiment were repeated 100 times, the true population mean difference would be expected to lie within 98 of those confidence intervals, but not in two, reflecting the 2% error rate.

A Researcher Conducts a Study and Rejects the Null Hypothesis