Question

given $h_{0}:\mu = 24$, $h_{a}:\mu\
eq24$, and $p = 0.029$. do you reject or fail to reject $h_{0}$ at the 0.01 level of significance?
reject $h_{0}$
not sufficient information to decide
fail to reject $h_{0}$

Explanation:

Step1: Recall the decision rule for hypothesis testing

If \( P - value\leq\alpha \), reject \( H_0 \). If \( P - value>\alpha \), fail to reject \( H_0 \). Here, \( \alpha = 0.01 \) (level of significance) and \( P=0.029 \).

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

Since \( 0.029>0.01 \) (i.e., \( P - value>\alpha \)).

Answer:

fail to reject \( H_0 \)