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According to Thomson Financial, last year the majority of companies reporting profits had beaten estimates. A sample of 162 companies showed that 94 beat estimates, 29 matched estimates, and 39 fell short. (a) What is the point estimate of the proportion that fell short of estimates if required, round your answer to four decimal places 0.2407 (b) Determine the margin of error and provide a 95% confidende interval for the proportion that beat estimates. It required, round your answers to four decimal places ME 0.5802 Pshort Confidence intervat 0.5042 to 0.6562 (c) How large a sample is needed if the desired margin of error is 0.057 if required, round your answer to the next integer. 0.05 For many years businesses have struggled with the rising cost of health care. But recently, the increases have slowed due to less Inflation in health care prices and employees paying for a larger portion of health care benefits. A recent Mercer survey showed that 52% of U.S. employers were likely to require higher employee contributions for health care coverage Suppose the survey was based on a sample of 400 companies Compute the margin of error and a 95% confidence interval for the proportion of companies likely to require higher employee contributions for health care coverage. If required, round your answer to four decimal places. Round Intermediate calculations to four decimal places Margin of Error: Confidence interval: to