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# survey reported that in a sample of 300 students who attend two-year colleges, 105 work at least 20 hours a week.

survey reported that in a sample of 300 students who attend two-year colleges,

105 work at least 20 hours a week.

In a sample of 225 students attending private universities, only 20 students work at least 20 hours per week.

Use this data to find the 95% confidence interval for p1 - p2, the true difference in the proportion of students

in two-year colleges and the proportion of students in private universities who work at least 20 hours per week.