In studying his campaign plans, Mr. Singleton wishes to estimate the difference between men's and women's views regarding his appeal as a candidate. He asks his campaign manager to take two random independent samples and find the 80% 80% confidence interval for the difference. A random sample of 508 508 male voters and 605 605 female voters was taken. 108 108 men and 193 193 women favored Mr. Singleton as a candidate. Find this confidence interval. Step3of4: Find the value of the standard error. Round your answer to three decimal places.