A university is contemplating switching from the quarter system to a semester system. The administration conducts a survey of a random sample of 400 students and finds that 245 of them prefer to remain on the quarter system. USE SALT (a) Construct a 95% confidence interval for the true proportion of all students who would prefer to remain on the quarter system. (Round your answers to three decimal places.) to (b) Does the interval that you computed in part (a) provide convincing evidence that more than half of all students prefer to remain on the quarter system? Explain. No, because the interval falls entirely below 0.5. Yes, because the interval falls entirely below 0.5. Yes, because the interval falls entirely above 0.5. No, because the interval falls entirely above 0.5.