A telephone service representative believes that the proportion of customers completely satisfied with their local telephone service is different between the Midwest and the Northeast. The representative's belief is based on the results of a survey. The survey included a random sample of 1400 midwestern residents and 1320 northeastern residents. 50% of the midwestern residents and 38% of the northeastern residents reported that they were completely satisfied with their local telephone service. Find the 98% confidence interval for the difference in two proportions. Step 1 of 3: Find the critical value that should be used in constructing the confidence interval. Step 2 of 3: Find the value of the standard error. Round your answer to three decimal places. Step 3 of 3: Construct the 98% confidence interval. Round your answers to three decimal places.
A telephone service representative believes that the proportion of customers completely satisfied with their local telephone service is different between the Midwest and the Northeast. The representative's belief is based on the results of a survey. The survey included a random sample of 1400 midwestern residents and 1320 northeastern residents. 50% of the midwestern residents and 38% of the northeastern residents reported that they were completely satisfied with their local telephone service. Find the 98% confidence interval for the difference in two proportions. Step 1 of 3: Find the critical value that should be used in constructing the confidence interval. Step 2 of 3: Find the value of the standard error. Round your answer to three decimal places. Step 3 of 3: Construct the 98% confidence interval. Round your answers to three decimal places.
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter4: Equations Of Linear Functions
Section: Chapter Questions
Problem 8SGR
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A telephone service representative believes that the proportion of customers completely satisfied with their local telephone service is different between the Midwest and the Northeast. The representative's belief is based on the results of a survey. The survey included a random sample of 1400 midwestern residents and 1320 northeastern residents. 50% of the midwestern residents and 38% of the northeastern residents reported that they were completely satisfied with their local telephone service. Find the 98% confidence interval for the difference in two proportions.
Step 1 of 3: Find the critical value that should be used in constructing the confidence interval.
Step 2 of 3: Find the value of the standard error. Round your answer to three decimal places.
Step 3 of 3: Construct the 98% confidence interval. Round your answers to three decimal places.
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