Rick O\'Shea is one of the two candidates running for the governor of a Midweste

Question

Rick O'Shea is one of the two candidates running for the governor of a Midwestern state. Suppose Rick O'Shea has 48 percent of the votes among all the voters in the state. Just before the election a local TV news polls a random sample of 400 voters. What is the probability that the poll will predict Rick O'Shea winning the election? What should the sample size be in order to reduce the probibility of wrongly predicting Rick O'Shea's victory to 0.025? Rick O'Shea is one of the two candidates running for the governor of a Midwestern state. Suppose Rick O'Shea has 48 percent of the votes among all the voters in the state. Just before the election a local TV news polls a random sample of 400 voters. What is the probability that the poll will predict Rick O'Shea winning the election? What should the sample size be in order to reduce the probibility of wrongly predicting Rick O'Shea's victory to 0.025?

Explanation / Answer

here as confidence interval not given we may assume it 95%

here margin of error E = 0.025 for95% CI crtiical Z          = 1.9600 estimated proportion=p= 0.4800 required sample size n =         p*(1-p)*(/E)2= 1535.00

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