3) Difference in Sample Proportions: Are college students who live in dormitories significantly more involved in campus life than students who live off-campus? The data below (from a random sample) report the proportion of students that devote themselves to extracurricular activities. Using an alpha level of .01, conduct a hypothesis test and construct a 95% confidence interval of the difference. Are the conclusions the same or different between the hypothesis test and confidence interval? Explain why. On Campus Off-Campus TL = 45 .38 1 = 53.0 48.0