Question

# Find the critical value z_{\alpha/2} that corresponds to the given confidence level 96\%

Confidence intervals
Find the critical value $$\displaystyle{z}_{{\frac{\alpha}{{2}}}}$$ that corresponds to the given confidence level.
$$\displaystyle{96}\%$$

2021-08-17

Step 1
From the provided information,
Confidence level $$\displaystyle={96}\%$$
Level of significance $$\displaystyle{\left(\alpha\right)}={1}-{0.96}={0.04}$$
Step 2
The critical $$\displaystyle{z}_{{\frac{\alpha}{{2}}}}$$ value at 0.04 level of significance from the standard normal table (two tailed) is 2.054.