RefertothevegetariansurveyresultinExercise4.6,with n = 25 and novegetarians. (a) FindtheBayesianestimateof using abetapriordistributionwith = equal (i) 0.5,

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RefertothevegetariansurveyresultinExercise4.6,with n = 25 and novegetarians.

(a) FindtheBayesianestimateof π using abetapriordistributionwith α = β equal (i) 0.5,

(ii) 1.0,(iii) 10.0.Explainhowthechoiceofpriordistributionaffectstheposteriormean estimate.

(b) Ifyouwereplanninghowtotakealargersurveyfromthesamepopulation,explainhow youcanusetheposteriorresultsoftheprevioussurveywith n = 25 based ontheprior with α = β = 1 to formthepriordistributiontousewiththenewsurveyresults.

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