Question

the mean age of bus drivers in chicago is greater than 58.5 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>58.5).
b. there is not sufficient evidence to support the claim (mu>58.5).
c. there is sufficient evidence to reject the claim (mu>58.5).
d. there is sufficient evidence to support the claim (mu>58.5).

Explanation:

In hypothesis testing, the null hypothesis \(H_0\) is the statement being tested. Here, the claim is \(\mu>58.5\) (which would be the alternative hypothesis \(H_1\)). The null hypothesis \(H_0:\mu\leq58.5\). When we fail to reject the null hypothesis, it means that the sample data does not provide enough evidence to support the alternative hypothesis. So, there is not enough evidence to support the claim \(\mu > 58.5\).

Answer:

B. There is not sufficient evidence to support the claim \(\mu>58.5\).