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 508508 male voters and 605605 female voters was taken. 108108 men and 193193 women favored Mr. Singleton as a candidate. Find this confidence interval. Step 3 of 4 :   Find the value of the standard error. Round your answer to three decimal places.

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