Recent book noted that only 20% of all investment managers outperform the Dow Jones Industrial Average over a five-year period. A random sample of 200 investment managers that had graduated from one of the top ten business programs in the country were followed over a five-year period. Fifty of these outperformed the Dow Jones Industrial Average. Let pp be the true proportion of investment managers who graduated from one of the top ten business programs who outperformed the Dow Jones over a five-year period. 23. Based on the results of the sample, a 95% confidence interval for pp is: a. (1.95, 3.15) b. (0.0195, 0 .0315) c. (0.190, 0.310) d. (0.028, 0.031) e. (0.195, 0.315) Suppose you had been in charge of designing the study. What sample size would be needed to construct a margin of error of 2% with 95% confidence? Use the prior estimate of p*=0.2 for this estimate.