Question

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

Explanation:

In the context of the standard normal distribution (where \(z\) - scores are used), the notation \(z_{\alpha}\) is a well - known concept. The subscript \(\alpha\) represents an area. By definition, for a critical value \(z_{\alpha}\), we consider the right - tailed case. If we have a \(z\) - score \(z = z_{\alpha}\), the area under the standard normal curve to the right of \(z = z_{\alpha}\) is equal to \(\alpha\).

For example, if \(\alpha=0.05\), then \(z_{\alpha}=z_{0.05}\) is the \(z\) - score such that \(P(Z>z_{0.05}) = 0.05\).

Answer:

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