Question

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 90% confidence interval for the difference. A random sample of 703 male voters and 688 female voters was taken. 363 men and 400 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 place

Answer 1

Solution :

=> Answers :-

=> The Standard error is = 0.027

=> The 90% confidence interval is (-0.109,-0.021)

Explanation :-

=> standard error = sqrt((p1^*(1 - p1^)/N1) + (p2^*(1 - p2^)/N2))

= sqrt((0.516*(1 - 0.516)/703) + (0.581*(1 - 0.581)/688)))

= 0.0266

= 0.027 (rounded)