5. A random sample of 500 York County voters revealed 265 intend to vote to return Louella Miller to the state senate.

a. Construct a 95 percent confidence interval for the proportion of voters in thecounty who plan to vote for Ms. Miller.

b. From this sample information, can you confirm she will be re-elected?

c. Suppose a new poll is planned. What sample size is required, at the 95 % confidence level, if the desired margin of error is 3 % (.03)?