A telephone company 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 600 southern residents and 580 western residents. 59% of the southern residents and 55% of the western residents reported that they were completely satisfied with their local telephone service. Find the 95% confidence interval for the difference in two proportions.

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

Step 2. Find the margin of error. ( Round your answer to 6 decimals.)

Step 3. Construct the 95% confidence level lower and upper limit round answer to 3 decimals.