Question

fill in the blank.
a critical value, ( z_{alpha} ), denotes the _.
a critical value, ( z_{alpha} ), denotes the
z - score with an area of ( alpha ) to its left.
area to the left of ( z=alpha ).
z - score with an area of ( alpha ) to its right.
area to the right of ( z=alpha ).

Explanation:

In statistics, the critical value \(z_{\alpha}\) is a key concept. By definition, \(z_{\alpha}\) represents a \(z -\)score. The notation \(z_{\alpha}\) is used to denote the \(z -\)score such that the area to the right of this \(z -\)score under the standard normal curve is \(\alpha\). For example, if \(\alpha = 0.05\), then \(z_{0.05}\) is the \(z -\)score where \(P(Z>z_{0.05})=0.05\).

Answer:

z - score with an area of \(\alpha\) to its right.