3. You are trying to decide whether to promote an employee to be a manager. You have a measure, GoodManoger, which tests whether the candidate is likely to be a good measure. Historical data suggests that, for your employees, 10 percent of them are good managers. The type I error rate for the measure is 20 percent, and so is the type II error rate. a. A candidate has GoodManager=1. Based on historical data, what is the probability they are actually a good manager? b. Before looking at the measure, you believe Candidate C has a 50% chance of being a good manager. For candidate C, the measure says GoodManager=O. What is your updated probability that candidate C is a good manager? c. Would you nd the measure helpful for making promotion decisions