Question

given ( h_0:mugeq18 ) and ( p = 0.079 ). do you reject or fail to reject ( h_0 ) at the 0.05 level of significance?

a. fail to reject ( h_0 )
b. not sufficient information to decide
c. reject ( h_0 )

Explanation:

Step1: Recall the decision rule for hypothesis testing

If \(P - value\geq\alpha\), we fail to reject \(H_0\). If \(P - value<\alpha\), we reject \(H_0\). Here, the significance level \(\alpha = 0.05\) and \(P=0.079\).

Step2: Compare the \(P - value\) and \(\alpha\)

Since \(0.079\geq0.05\) (i.e., \(P - value\geq\alpha\)).

Answer:

A. fail to reject \(H_0\)