A researcher obtains z = 3.98 for a one-sample z test.If her decision is to retain the null hypothesis,then what do you know about her decision?
A)Her decision was inconclusive.
B)Her decision was based on a two-tailed test.
C)Her decision resulted in a Type III error.
D)both A and B

Question

Quizplus · Accepted Answer

A z-value of 3.98 corresponds to an extremely low p-value, indicating strong evidence against the null hypothesis. If the researcher decided to retain the null hypothesis despite such strong evidence against it, this would result in a Type III error, which is failing to reject a false null hypothesis. Therefore, the correct answer is C.

A Researcher Obtains Z = 3