At GGC, 132 students were interviewed and 86 said that Dr. Wes Routon was the greatest professor of all time. For (a), round to a 1 decimal percent, like 12.3%. For (b)-(d), report 1 decimal percents ± a 2 decimal percent, like 12.3% ± 4.56%.

(a) Estimate the proportion of students who think he's the greatest.

(b) Develop a 90% confidence interval for the proportion in (a).

(c) Develop a 95% confidence interval for the proportion in (a).

(d) Develop a 99% confidence interval for the proportion in (a).