Inanexitpollof1648votersinthe2020SenatorialelectioninArizona,51.5%saidtheyvoted for MarkKellyand48.5%saidtheyvotedforMarthaMcSally. (a) Supposethatactually 50% ofthepopulationvotedforKelly.Ifthisexitpollhadthe propertiesofasimplerandomsample,findthestandarderrorofthesampleproportion votingforhim. (b) Underthe50%presumption,aretheresultsoftheexitpollsurprising?Why?Wouldyou bewillingtopredicttheelectionoutcome?Explainby(i)conductingasimulation;(ii) using thevaluefoundin(a)forthestandarderror.

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Inanexitpollof1648votersinthe2020SenatorialelectioninArizona,51.5%saidtheyvoted for MarkKellyand48.5%saidtheyvotedforMarthaMcSally.

(a) Supposethatactually 50% ofthepopulationvotedforKelly.Ifthisexitpollhadthe propertiesofasimplerandomsample,findthestandarderrorofthesampleproportion votingforhim.

(b) Underthe50%presumption,aretheresultsoftheexitpollsurprising?Why?Wouldyou bewillingtopredicttheelectionoutcome?Explainby(i)conductingasimulation;(ii)
using thevaluefoundin(a)forthestandarderror.

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