A telephone service representative believes that the proportion of customers completely satisfied with their local telephone service is different between the South and the West. The representative's belief is based on the results of a survey. The survey included a random sample of 1260 southern residents and 1140 western residents. 45% of the southern residents and 54% of the western residents reported that they were completely satisfied with their local telephone service. Find the 99% confidence interval for the difference in two proportions.

Step 1 of 3: Find the point estimate that should be used in constructing the confidence interval.

Step 2 of 3: Find the margin of error. Round your answer to six decimal places.

Step 3 of 3: Construct the 99% confidence interval. Round your answers to three decimal places.