Ina2016PewResearchsurvey(www.pewresearch.org), the percentagewhofavoredallowing gaysandlesbianstomarrylegallywas84%forliberalDemocratsand24%forconservative Republicans. Suppose n = 300 for eachgroup.Usinguniformpriordistributions, (a) Construct95%posteriorintervalsforthepopulationproportions. (b) ComparetheinterpretationoftheBayesianposteriorintervalforliberalDemocratswith the classicalconfidenceinterval.
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Ina2016PewResearchsurvey(www.pewresearch.org), the percentagewhofavoredallowing gaysandlesbianstomarrylegallywas84%forliberalDemocratsand24%forconservative Republicans. Suppose n = 300 for eachgroup.Usinguniformpriordistributions,
(a) Construct95%posteriorintervalsforthepopulationproportions.
(b) ComparetheinterpretationoftheBayesianposteriorintervalforliberalDemocratswith the classicalconfidenceinterval.
(c) Constructandinterpreta95%posteriorintervalforthedifferencebetweenthepopulation proportionsforliberalDemocratsandconservativeRepublicans.
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