Question

1: find point of estimate

2: find margin of error

3: find confidence interval. round to 3 decimal places

please circle answers - thanks!!

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 98% confidence interval for the difference. A random sample of 484 male voters and 577 female voters was taken. 164 men and 253 women favored Mr. Singleton as a candidate. Find this confidence interval. Step 1 of 3: Find the point estimate that should be used in constructing the confidence interval. Round your answer to three decimal places. E Tables Keypad Keyboard Shortcuts Answer How to enter your answer Submit Answer

Answer 1

From given information, random sample of 484 male voters say n1 and 577 women voters say n2,

and Mr. Singleton as taken 164 men say x1 and 253 women say x2,

that x1=164, n1=484 and x2=253, n2=577

the proportion of men is $\widehat{p1}$ = x1/n1 = 164/484= 0.338843,

and proportion of women is $\widehat{p2}$ = x2/n2=253/577=0.438475

and differance is $\widehat{p1}-\widehat{p2}$ = -0.09963,

The 98% conficance for difference is (-0.169,-0.0302)

And marginal Error (E) is = $\pm 0.0694$ .