Question

the p - value for a hypothesis test turns out to be 0.04361. at a 9% level of significance, what is the proper decision?
reject $h_0$
fail to reject $h_0$

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Explanation:

Step1: Recall decision - rule

If p - value $\leq\alpha$ (significance level), reject $H_0$. If p - value $>\alpha$, fail to reject $H_0$.

Step2: Compare p - value and significance level

The p - value is 0.04361 and the significance level $\alpha = 0.09$. Since $0.04361<0.09$.

Answer:

Reject $H_0$