Two community colleges want to compare student satisfication at their respective schools. Rose Petal Community College does a random sample of 74 students and find that 58 say they are "satisfied" or "extremely satisfied" with the school. Archimedes Spiral Community College does a random sample of 108 students and finds that 91 say they are "satisfied" or better with the school. Using Rose Petal CC as p-hat 1 and Archimedes Spiral CC as p-hat 2, construct a 95% confidence interval for the difference in proportions. Use three decimals when computing the sample proportions, and give your final answer to three decimal places.

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