Question

for a hypothesis test, alpha = 0.05
the computed p-value = 0.056
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 \( H_0 \) if \( P\text{-value} < \alpha \). Here, \( \alpha = 0.05 \) and \( P\text{-value} = 0.056 \).

Step2: Compare P - Value and Alpha

Since \( 0.056 > 0.05 \), we fail to reject \( H_0 \). This means there is not sufficient evidence to reject the null hypothesis and accept the alternative.

Answer:

(for "Should \( H_0 \) be rejected?"):
Fail to Reject \( H_0 \)