Virtual call centers are staffed by individuals working out of their homes. ABC Services is considering employing home-based agents, but only if a level of customer satisfaction greater than or equal to 80% can be maintained. A trial program was conducted using home-based agents. In an SRS of 300 customers, 252 reported that they were satisfied with the service they received.

Question

Virtual call centers are staffed by individuals working out of their homes. ABC Services is considering employing home-based agents, but only if a level of customer satisfaction greater than or equal to 80% can be maintained. A trial program was conducted using home-based agents. In an SRS of 300 customers, 252 reported that they were satisfied with the service they received. 
(a) What is sample proportion &#55349;&#56465;&#56259;&#56797;?

(b) What is the standard error of &#55349;&#56465;&#56259;&#56797;?

(c) Compute a 95% Confidence Interval for the true trial program satisfaction level.

(d) Conduct a hypothesis test to determine if the trial program sample supports the conclusion that the home-based agent satisfaction level meets the level required by ABC Services. Be sure to state your Null and Alternative Hypotheses, test statistic, p-value, and conclusion.