Question

given ( h_0: mu = 25 ), ( h_a: mu
eq 25 ), and ( p = 0.026 ). do you reject or fail to reject ( h_0 ) at the 0.01 level

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

Explanation:

In hypothesis testing, the decision rule is: if the P - value is less than the significance level ($\alpha$), we reject the null hypothesis ($H_0$); if the P - value is greater than or equal to the significance level ($\alpha$), we fail to reject the null hypothesis ($H_0$). Here, $\alpha = 0.01$ and $P=0.026$. Since $0.026>0.01$.

Answer:

A. fail to reject $H_0$