Question

answer the following true or false:
if the p - value is 0.003 and the level of significance, α, is 0.05 in a hypothesis test for a mean, then we accept the alternative hypothesis.
o false
o true
hint:
help

Explanation:

Step1: Recall the decision rule

In hypothesis testing, if \(p - value<\alpha\), we reject the null hypothesis \(H_0\) and accept the alternative hypothesis \(H_1\).

Step2: Compare p - value and \(\alpha\)

Given \(p - value = 0.003\) and \(\alpha=0.05\). Since \(0.003<0.05\) (i.e., \(p - value<\alpha\)).

Answer:

true