Answer
1.28.
Work Step by Step
$\alpha=1-confidence \ level=1-80$%$=1-0.8=0.2.$
Hence $1-\frac{\alpha}{2}=1-0.1=0.9.$
$z_{\frac{\alpha}{2}}$ is the z score belonging to the probability of $1-\frac{\alpha}{2}=0.9$, which is 1.28.
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