You want to determine the percentoge of Fortune 500 CFOs who think thdiana University (IU) Geserves its curtent Business Week rating, You mail a questionnaire to al So0 CEOs and respond. Exactly haif of the respondents believe 10 does deserve its raning. a. Calculate a 95% confidence interval for the fraction of fortune 500 CEOs who believe 14 deserves its fanking, Round your answers to three decimal ploces, if neceinay. Lower Limit Upper Limit b. Suppose again that you want to estimate the fraction of fortune 500 cEOs who belitve tu deserves is ranking, Your goal is to heve only a 5% chance of having yur estimate ce in n by more than 0.02 . What site sample would you need to take? Plound your answer up to the neerest whole number, if necessary. Is it possible to implement this restult? c. Is the finte population correction (fpe) reievact here? Explain. Found your answers for the standard error to three decimal places, if necessary. What the sample size of 180 , 6% of the population is being sampled, so the foc be wed, it affects the standard errar from 6 to (3) which the wides of the coafidence interval