66. Near the time of an election, a cable news service performs an opinion poll of 1,000 prob-able 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.b. Estimate the probability that the Democratic candidate is actually leading.c. Repeat the above analysis based on a sample of 3,000 probable voters.