The mean age of judges in Dallas is greater than 50.2 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 support the claim $\mu 50.2$
B) There is sufficient evidence to reject the claim $\mu 50.2$
C) There is not sufficient evidence to reject the claim $\mu 50.2$
D) There is sufficient evidence to support the claim $u 50.2$

Question

The mean age of judges in Dallas is greater than  50.2  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 support the claim $\mu > 50.2$
B) There is sufficient evidence to reject the claim $\mu > 50.2$
C) There is not sufficient evidence to reject the claim $\mu > 50.2$
D) There is sufficient evidence to support the claim $u > 50.2$

Quizplus · Accepted Answer

Failing to reject the null hypothesis means there isn't enough evidence to support the alternative hypothesis, which in this case is that the mean age is greater than 50.2 years.

The Mean Age of Judges in Dallas Is Greater Than μ>50.2\mu > 50.2μ>50.2

The Mean Age of Judges in Dallas Is Greater Than $\mu > 50.2$