plz help me with this question Near the time of an election, a cable news servic

Question

plz help me with this question

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_______

Explanation / Answer

There are 52% to 48%. Of the people out of the sample 500 who prefer the republican contender.

52% of 500 = 260 & 48% of 500 = 240

The sample proportion = 260/500 & 240/500

The sample proportion = 0.52 & 0.48

The 95% confidence interval estimate of the population proportion is given by

p

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