Comparisonof oddsratio with ratioofproportions:

(a) Accordingto ourworldindata.org, in2017theproportionofthepopulationthatdied due tosuicidesdonebyfirearmswas0.00006291(i.e.,about6.29per100,000)inthe United Statesand0.00000168(i.e.,about0.17per100,000)intheUnitedKingdom.Use these tofindan oddsratio comparing thenations,andinterpret.Comparethemalsoby the risk ratio, whichistheratiooftheproportionsofdeathsthatweresuicidesdueto firearms. Explainwhythisisclosetotheoddsratiowhenbothproportionsarecloseto 0.

(b) APewResearchReport(February13,2020)reportedresultsofasurveyinwhich78%of Democratsand21%ofRepublicansintheU.S.statedthatdealingwithclimatechange should beatoppriorityforthePresidentandCongress.Comparethepoliticalpartiesby the oddsratioandbytheriskratio.(Whenproportionsexceed0.2,unliketheresultin

(a), theoddsratioisbetterapproximatedbythe square of theriskratiothanbytherisk ratio itself.27)

(c) Formulatealogisticregressionmodelforthecomparisonin(b),andreport ˆβ for the stated results.