Question

for a hypothesis test, alpha = 0.05
the computed p-value = 0.044
should h0 be rejected?:
reject h_0
fail to 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 hypothesis testing, we reject the null hypothesis ($H_0$) if the p - value is less than the significance level ($\alpha$). Here, $\alpha = 0.05$ and the p - value $= 0.044$.

Step2: Compare p - value and $\alpha$

Since $0.044<0.05$ (the p - value is less than $\alpha$), we reject the null hypothesis. When we reject the null hypothesis, it means there is sufficient evidence to reject the null hypothesis and accept the alternative hypothesis.

Answer:

(for the first question "Should H0 be rejected?"):
Reject H_0