The town of Hayward, CA has about 50,000 (that is, very many) registered voters. A political research firm takes a simple random iid sample of 500 of these voters. In the sample, the breakdown by party affiliation is Republican 115, Democrat 331, and Independent 54. Calculate a 95% confidence interval for the true percentage of independents among Hayward’s 50,000 registered voters. (Hint: try to set this up as a binary problem, such that your estimator takes the form of a sample mean and you can use the CLT more easily.)