Question

when testing with α = 0.01 you get p = 0.12. your decision should be
fail to reject ho, there is not a significant difference
accept ho, there is a significant difference
reject ho, there is not a significant difference
reject ho, there is a significant difference

Explanation:

Step1: Recall the decision rule for hypothesis testing

In hypothesis testing, if \( p - value>\alpha \), we fail to reject the null hypothesis (\(H_0\)). Here, \(\alpha = 0.01\) and \(p=0.12\).

Step2: Compare \(p\) - value and \(\alpha\)

Since \(0.12>0.01\) (i.e., \(p - value>\alpha\)).

Answer:

Fail to reject \(H_0\), there is NOT a significant difference.