204 registered voters were asked whether they intended to vote for candidate a or candidate b in an upcoming election, and a confidence interval estimate for the population proportion of registered voters planning to vote for candidate a was computed. Based on this random sample of n=204, the evening news reported that between o.51 lcl and 0.61 ucl of all registered voters planned to vote for candidate a in the upcoming election.
a. What is the point estimate for the population proportion of registered voters planning to vote for candidate A?
b. The standard normal distribution was used to conduct the confidence interval estimate above. Verify that the standard normal distribution is appropriate in this case.
c. What is the margin of error for this confidence interval estimate?
d. In the evening news story, the reporter did not indicate what level of confidence was used in constructing the confidence interval estimate. What confidence level was used?
e. Using 95% confidence and p* equal to your point estimate from part a, how large a sample is needed if the desired margin of error is 0.04?