Question

given ( h_{0}: p geq 80 % ) and ( h_{a}: p<80 % ), determine whether the hypothesis test is left - tailed, rig

o a. two - tailed
o b. left - tailed
o c. right - tailed

Explanation:

In hypothesis testing, the form of the alternative hypothesis ($H_a$) determines the type of test. A left - tailed test has an alternative hypothesis of the form $H_a: \theta<\theta_0$ (where $\theta$ is the parameter of interest and $\theta_0$ is the hypothesized value). Here, the parameter is $p$ (a proportion) and the alternative hypothesis is $H_a: p < 80\%$.

Answer:

B. left - tailed