Near the time of an election, a cable news service performs an opinionpoll of 1,000 probable voters. It shows that the Republican contender hasan advantage of 54% to 48%. a. Develop a 95% confidence...

Near the time of an election, a cable news service performs an opinion poll of 1,000 probable voters. It shows that the Republican contender has an advantage of 54% to 48%. a. Develop a 95% confidence interval for the proportion favoring the Republican candidate. b. Estimate the probability that the Democratic candidate is actually leading. c. Repeat the above analysis based on a sample of 2,000 probable voters.