When the null hypothesis is rejected, then we know for certain that
A) the mean of the sample equals the mean of the population
B) the mean of the sample differs from the mean of the population
C) the mean of the sample is a biased estimator
D) none of these, since the statistical decision is a probability statement and not a statement of certainty

Question

Quizplus · Accepted Answer

The rejection of the null hypothesis only indicates that there is sufficient evidence to suggest that the null hypothesis is not true. However, it does not provide certainty as statistical decisions are based on probabilities. Therefore, none of the given options can be said to be certain.

When the Null Hypothesis Is Rejected, Then We Know for Certain