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for a hypothesis test, alpha = 0.05 the computed p - value = 0.022 shou…

Question

for a hypothesis test, alpha = 0.05
the computed p - value = 0.022
should h₀ be rejected?:
○fail to reject h₀
○reject h₀
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: Compare P - value and alpha

In hypothesis testing, if $P - value\leq\alpha$, we reject the null hypothesis $H_0$. Given $\alpha = 0.05$ and $P - value=0.022$. Since $0.022<0.05$.

Answer:

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