Answer
$z_{\frac{α}{2}}=1.75$
Work Step by Step
$level~of~confidence=(1-α).100$%
$92$% $=(1-α).100$%
$0.92=1-α$
$α=0.08$
$z_{\frac{α}{2}}=z_{0.04}$
If the area of the standard normal curve to the right of $z_{0.04}$ is 0.04, then the area of the standard normal curve to the left of $z_{0.04}$ is $1−0.04=0.96$
According to Table V, the z-score which gives the closest value to 0.96 is 1.75.