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 sufficient evidence to reject the null hypothesis and accept the alternative.
○ there is not sufficient evidence to reject the null hypothesis and accept the alternative.
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Explanation:

Step1: Compare P - value and alpha

We compare the computed P - value ($P = 0.044$) with the significance level ($\alpha=0.05$).

Step2: Apply decision - rule

If $P\leq\alpha$, we reject the null hypothesis $H_0$. Since $0.044\leq0.05$, we reject $H_0$.

Step3: Draw conclusion

When we reject $H_0$, it means there is sufficient evidence to reject the null hypothesis and accept the alternative hypothesis.

Answer:

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