Question

for a hypothesis test, alpha = 0.05
the computed p - value = 0.044
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 hypothesis - test rule

In a hypothesis test, if $P - value\leq\alpha$, we reject the null hypothesis $H_0$.

Step2: Compare P - value and alpha

Given $\alpha = 0.05$ and $P - value=0.044$. Since $0.044<0.05$, i.e., $P - value<\alpha$.

Answer:

Reject $H_0$
There IS sufficient evidence to reject the Null Hypothesis and accept the alternative.