In Exercise 4.11 for the binomial probability ???? of being a vegetarian, the proportion y = 0 of n = 25 students were vegetarians.

a. Report the ML estimate. Find the 95% confidence interval based on inverting the likelihood-ratio chi-squared test.

b. Using a uniform prior distribution for ????, find the posterior mean, the posterior 95% equal-tail interval, and the 95% HPD interval.