Answer Happy

Suppose p= the proportion of students who are admitted to the graduate school of the University of California at Berkeley, and suppose that a public relations officer boasts that UCB has historically had a 40% acceptance rate for its graduate school. Consider the data stored in the table UCBAdmissions from 1973. According to such data there are 1755 admitted students and 2771 rejected students. – 20.01 = -2.326 and –70.95 = -1.644854, 70.995 = 2.575829, 70.975 = 1.96 and 20.99 = 2.3263. (a) Construct the 95% confidence interval for the proportion p? (b) On the basis of this sample, are they consistent with the officers claim, or do they provide evidence that the acceptance rate was significantly less than 40%? Use an a = 0.01 significance level. (c) On the basis of this sample, are they consistent with the officers claim, or do they provide evidence that the acceptance rate was significantly less than 40%? Use an a = 0.05 significance level.