# Am I in the correct direction for solving this problem?

Virtual call centers are staffed by individuals working out of their homes. An airline is considering employing home agents, but only if their level of customer satisfaction is greater than $80\%$. A test was conducted with home servicing agents. In a sample of size 300 customers, 252 reported that they were satisfied with the service

A. The airline set up the test: \begin{align*} H_0 &: p \leq 0.8 \\ H_1 &: p > 0.8 \end{align*} at level $\alpha = 0.05$ ; p is the true proportion among all customers who will be satisfied by service from home agent

Set up and sun this test, using significance level $$\alpha =.05$$. What conclusion do you reach?

\begin{align*} n = 300&, N =252 \\ H_0 &: p \leq 0.8 \\ H_1 &: p > 0.8 \end{align*}

Test statistic: One Group Proportion

$$Z = \frac{.84 - .8}{\sqrt{.8(1-.84)/300}}$$

From here I would compare it with the Z value at .05?