If a hypothesis test leads to the rejection of the null hypothesis, a _____.
A) Type II error must have been committed
B) Type II error may have been committed
C) Type I error must have been committed
D) Type I error may have been committed

Question

Quizplus · Accepted Answer

If the null hypothesis is rejected, it means that there is evidence supporting the alternative hypothesis. However, there is always a chance that the null hypothesis is actually true and the result is a false positive, which is known as a Type I error. Therefore, it is possible (but not certain) that a Type I error was committed in this scenario.

If a Hypothesis Test Leads to the Rejection of the Null