The mean age of professors at a university is greater than 58.3 years. If a hypothesis test is performed, how should you interpret a decision that rejects the null hypothesis?
A) There is sufficient evidence to support the claim $\mu 58.3 .$
B) There is sufficient evidence to reject the claim $\mu 58.3 .$
C) There is not sufficient evidence to reject the claim $\mu 58.3$
D) There is not sufficient evidence to support the claim $\mu 58.3$

Question

The mean age of professors at a university is greater than  58.3  years. If a hypothesis test is performed, how should you interpret a decision that rejects the null hypothesis?
A) There is sufficient evidence to support the claim $\mu > 58.3 .$
B) There is sufficient evidence to reject the claim $\mu > 58.3 .$
C) There is not sufficient evidence to reject the claim $\mu > 58.3$
D) There is not sufficient evidence to support the claim $\mu > 58.3$

Quizplus · Accepted Answer

Rejecting the null hypothesis in this context means that the data provides sufficient evidence to support the alternative hypothesis, which is that the mean age of professors is greater than 58.3 years.

The Mean Age of Professors at a University Is Greater μ>58.3.\mu > 58.3 .μ>58.3.

The Mean Age of Professors at a University Is Greater $\mu > 58.3 .$