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A telephone service representative believes that the proportion of customers completely satisfied with their local telephone...

A telephone service representative believes that the proportion of customers completely satisfied with their local telephone service is different between the Midwest and the West. The representative's belief is based on the results of a survey. The survey included a random sample of 780 midwestern residents and 660 western residents. 42% of the midwestern residents and 37% of the western residents reported that they were completely satisfied with their local telephone service. Find the 98% confidence interval for the difference in two proportions.

Step 2 of 3 :  

Find the margin of error. Round your answer to six decimal places

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