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Question 28 0.5 pts Use the following information to answer all the parts. A 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 p 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. Part 1: Based on the results of the sample, create a 90% confidence interval of p Input the lower bound. 0.19 Question 29 0.5 pts Input the upper bound. 0.31 Question 30 1 pts Part 2: 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.\fQuestion 33 1 pts Part 5: The value of your test statistic is: Question 34 1 pts Part 6: The P-value of your test is: Question 35 1 pts Part 7: What is your conclusion? 0 There is sufcient evidence to conclude that graduates from the top ten business programs perform the same as other investment managers. 0 There is sufcient evidence to conclude that graduates from the top ten business programs perform better than other investment managers. 0 There is insufcient evidence to conclude that graduates from the top ten business programs perform better than other investment managers 0 There is insufcient evidence to conclude that graduates from the top ten business programs perform the same as other investment managers