Question: Times/CNN voter polls monitor public opinion for the presidential candidates during 2000 presidential election campaign. One Time/CNN poll conducted by Yankelovich Partners Inc, used a sample of 589 likely voters. Assume the population proportion for a presidential candidate is p=.50. Let p be the sample proportion likely voters favoring the presidential candidate.
a. Show the sampling distribution of p
b. What is the probability the Times/CNN poll will provide a sample proportion within +-.04 of the population proportion?
c. What is the probability the Times/CNN poll will provide a sample proportion within +-.03 of the population proportion?
d. What is the probability the Times/CNN poll will provide a sample proportion within +-.02 of the population proportion?