Assume the coach of the football team desires to determine the proportion of the population of fans who support his current starter lineup. The coach wants the estimate to be .04 of the true proportion. Assume a 95 percent level of confidence. The coach estimated the proportion supporting the current starter lineup to be .60. Answer the following question: Construct a 95% confidence interval using a sample size of 50, then of 100, then of 1,000.