To find the Z a/2 for the 96% confidence. We write the confidence level in decimal form, in this case 0.96.
Now:
[tex]\alpha=1-0.96=0.04[/tex]
and then:
[tex]\frac{\alpha}{2}=0.02[/tex]
Now we subtract this value to 0.5 to know the value we need to find in the Z table:
[tex]0.5-0.02=0.48[/tex]
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
