Question

Compute the critical value z Subscript alpha divided by 2 that corresponds to a 96​% level of confidence.

Answer 1

Complete Question

Compute the critical value  $Z_{\frac{\alpha }{2} }$   that corresponds to a  96​%  level of confidence.

Answer:

The value is  $Z_{\frac{\alpha }{2} } = Z_{\frac{0.04}{2} }= 2.326$

Step-by-step explanation:

From the question we are told that

    The confidence level $C = 96\%$

     

Generally the level of significance is mathematically represented as

      $\alpha = (100 -96)\%$

      $\alpha = 0.04$

Now from the normal distribution table the critical value for $\frac{\alpha }{2}$ is

    $Z_{\frac{\alpha }{2} } = Z_{\frac{0.04}{2} }= 2.326$