At a university, there are typically four distinctions based on senority; that is, how long you've been a student: freshman, sophomore, junior, or senior. A student might be satisfied or dissatisfied with their university experience, and that answer might change as a student progresses through their years. Suppose that we calculate a 95% confdience interval for the difference in the population proportion of freshmen who are satisfied with their university experience and the population proportion of seniors who are satisfied with their university experience, and find that interval to be (-0.01, 0.04).

True or false: A correct interpretation of this confidence interval is "With 95% confidence, we estimate that the population proportion of freshmen who are satisfied with their university experience is between 0.01 below and 0.04 above the population proportion of seniors who are satisfied with their university experience."

True or false: Because more of the confidence interval is positive, the population proportion of freshmen who are satisfied with their university experience is greater than the population proportion of seniors who are satisfied with their university experience.

True or false: If we were to use the same data and test the hypotheses H0:p1=p2versusHa:p1p2, we would fail to reject the null hypothesis at the 5% signficance level.