Question

reject or not state whether or not the null hypothesis should be rejected on the basis of the given ( p )-value.
part 1 of 2
(a) ( p )-value ( =0.0258, alpha=0.01 ), one - tailed test
reject the null hypothesis
do not reject the null hypothesis
part: ( 1 / 2 )
part 2 of 2
(b) ( p )-value ( =0.0258, alpha=0.01 ), two - tailed test
reject the null hypothesis
do not reject the null hypothesis

Explanation:

Step1: Recall the decision rule

If \(P - value\leq\alpha\), reject the null hypothesis. If \(P - value>\alpha\), do not reject the null hypothesis.

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

Given \(P - value = 0.0258\) and \(\alpha=0.01\). Since \(0.0258>0.01\) (i.e., \(P - value>\alpha\)).

Answer:

Do not reject the null hypothesis