Near the time of an election, a cable news service performs an opinion poll of 500 probable voters. It shows that the Republican contender has an advantage of 52% to 48%.
a.Develop a 95% confidence interval for the proportion favoring the Republican candidate. (Round your answers to 3 decimal places.)
b.Estimate the probability that the Democratic candidate is actually leading. (Round your answer to 4 decimal places.)
c.Repeat the above analysis based on a sample of 4,500 probable voters. (Round your interval to 3 decimal places and Probability to 4 decimal places.)