Question

if the sample data produces a test statistic(z - score) that is in the critical region, then which of the following is the appropriate conclusion
a reject ( h _ { 0 } )
b reject ( h _ { 1 } )
c fail to reject ( h _ { 0 } )
d fail to reject ( h _ { 1 } )

Explanation:

In hypothesis testing, the critical region is the set of values for which the null hypothesis ($H_0$) is rejected. If the test statistic (Z - score) falls in the critical region, it means there is sufficient evidence against the null hypothesis.

Answer:

A. reject \( H_0 \)