The mean age of professors at a university is 57.9 years. If a hypothesis test is performed, how should you interpret a decision that fails to reject the null hypothesis?
A) There is not sufficient evidence to reject the claim $\mu = 57.9$
B) There is sufficient evidence to reject the claim $\mu = 57.9$
C) There is sufficient evidence to support the claim $\mu = 57.9$
D) There is not sufficient evidence to support the claim $\mu = 57.9$

Question

The mean age of professors at a university is  57.9  years. If a hypothesis test is performed, how should you interpret a decision that fails to reject the null hypothesis?
A) There is not sufficient evidence to reject the claim $\mu = 57.9$
B) There is sufficient evidence to reject the claim $\mu = 57.9$
C) There is sufficient evidence to support the claim $\mu = 57.9$
D) There is not sufficient evidence to support the claim $\mu = 57.9$

Quizplus · Accepted Answer

Failing to reject the null hypothesis means there isn't enough evidence against the null hypothesis, which in this context is the claim that the mean age is 57.9 years.

The Mean Age of Professors at a University Is μ=57.9\mu = 57.9μ=57.9

The Mean Age of Professors at a University Is $\mu = 57.9$