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 734 male voters and 742 female voters was taken. 393 men and 184 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.
Step 2 of 3:
Find the margin of error. Round your answer to six decimal places.
Step 3 of 3:
Construct the 90% confidence interval. Round your answers to three decimal places.
The statistical software output for this problem is :
Point estimate = 0.287
Margin of error = 0.039961
The 99% CI is : (0.247 , 0.327)
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