In: Statistics and Probability
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 99% confidence interval for the difference. A random sample of 650 male voters and 609 female voters was taken. 363 men and 290 women favored Mr. Singleton as a candidate. Find this confidence interval.
Step 1 of 4: Find the values of the two sample proportions, pˆ1 and pˆ2. Round your answers to three decimal places.
Step 2 of 4: Find the critical value that should be used in constructing the confidence interval.
Step 3 of 4: Find the value of the standard error. Round your answer to three decimal places.
Step 4 of 4: Construct the 99% confidence interval. Round your answers to three decimal places.