Question

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

Explanation:

Step1: Recall P - Value Rule

In hypothesis testing, if the P - value is less than the significance level (\(\alpha\)), we reject the null hypothesis \(H_0\). Here, \(\alpha = 0.05\) and the P - value is \(0.022\). Since \(0.022<0.05\), we reject \(H_0\).

Step2: Determine Conclusion

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

Answer:

Should \(H_0\) be rejected?: B. Reject \(H_0\)
What is the correct conclusion?: A. There IS sufficient evidence to reject the Null Hypothesis and accept the alternative.