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.)

Confidence interval______ and______

b.Estimate the probability that the Democratic candidate is actually leading.(Round your answer to 4 decimal places.)

Probability_____

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.)

Confidence interval_______and_______

Probability_______