8.4 You are going to take a random sample of voters in a city in order to estimate the proportion T who support stopping the fluoridation of the municipal water supply. Before you analyze the data, you need a prior distribution for T. You decide that your prior mean is .4, and your prior standard deviation is .l .

(a) Determine the betu

(a,

b) prior that matches your prior belief.

(b) What is the equivalent sample size of your prior?

(c) Out of the 100 city voters polled, y = 21 support the removal of fluoridation from the municipal water supply. Determine your posterior distribution.