Question: Introduction to Bayesian analysis atd Analysis ssion | 2021/STAT 3340/E1 / Section 12 / Test Il Municipal Commissioner is going to take a random sample

Introduction to Bayesian analysis

atd Analysis ssion | 2021/STAT 3340/E1 / Section 12 / Test Il Municipal Commissioner is going to take a random sample of voters in a city in order to estimate the proportion / who support stopping the fluoridation of the municipal water supply. Before he analyze the data, he needs a prior distribution for n. He decides his prior mean is 0.4, and his prior standard deviation is O.I (a) Determine the beta(a, b) prior that matches his prior belief. (b) What is the equivalent sample size of his prior? (c) Out of the 75 city voters polled, y = 21 support the removal of fluoridation from the municipal water supply. Determine his posterior distribution. (5 marks) E E Go

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