Question

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

Confidence intervals
asked 2021-08-05
Find the critical value \(\displaystyle{z}_{{\frac{\alpha}{{2}}}}\) that corresponds to the given confidence level.
\(\displaystyle{96}\%\)

Answers (1)

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.

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