The critical z-value = 2.326
Explanation:The confidence Level, CL = 98% = 98/100
CL = 0.98
The significance Level is calculated as:
[tex]\begin{gathered} \alpha=1-CL \\ \\ \alpha=1-0.98 \\ \\ \alpha=0.02 \end{gathered}[/tex][tex]\begin{gathered} \frac{\alpha}{2}=\frac{0.02}{2} \\ \frac{\alpha}{2}=0.01 \end{gathered}[/tex]From the standard normal table:
[tex]z_{0.01}=2.326[/tex]Therefore, the critical z-value = 2.326