Question

Find the critical value z a/2 that corresponds to the confidence level 96%

Answer 1

To find the Z a/2 for the 96% confidence. We write the confidence level in decimal form, in this case 0.96.

Now:

`\alpha=1-0.96=0.04`

and then:

`(\alpha)/(2)=0.02`

Now we subtract this value to 0.5 to know the value we need to find in the Z table:

`0.5-0.02=0.48`

Now we look at the Z table for this value, by finding we notice that this happens when Z=2.05.

Therefore the Z a/2 value is 2.05