Near the time of an election, a cable news service performs an opinion poll of 1,800 probable voters. It shows that the Republican contender has an advantage of 51% to 49%.

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 3,000 probable voters.(Round your interval to 3 decimal places and Probability to 4 decimal places.)

Confidence interval and

Probability