Question

for a hypothesis test, alpha = 0.05
the computed p - value = 0.078
should h0 be rejected?
fail to reject h_0
reject h_0
what is the correct conclusion?
there is not sufficient evidence to reject the null hypothesis and accept the alternative.
there is sufficient evidence to reject the null hypothesis and accept the alternative.

Explanation:

Step1: Recall decision - rule

In hypothesis testing, if $P - value>\alpha$, we fail to reject $H_0$.

Step2: Compare values

We have $\alpha = 0.05$ and $P - value=0.078$. Since $0.078>0.05$.

Answer:

Fail to Reject $H_0$
There is NOT sufficient evidence to reject the Null Hypothesis and accept the alternative.