Suppose you are a candidate for sheriff in High Crime County. You are locked in what appears to be a close race with the chief of police in the largest city in the county. A random sample poll by a reputable polling firm has been published showing that, among the 700 likely voters they interviewed, you are currently ahead 52% to 48%. The pollsters report that the margin of error in the poll is ±2%. Does this report have a ring of familiarity to it? It should, because the pollsters have used the sample statistics from their poll (the proportions) to make point and then interval estimates of the corresponding population parameter-in this case, proportion of likely voters in the population who say they will vote for you. Given the poll result of 52% who say they will vote for you, the ±2% margin of error is a confidence interval.
Calculate the 95% confidence limits and interval for the sheriff's race poll. What would be the margin of error for this confidence level?