Atauniversity,60%ofthe7400studentsarefemale.Thestudentnewspaperreportsresultsof a surveyofasimplerandomsampleof50students,18femalesand32males,tostudyalcohol abuse, suchasbingedrinking. (a) Setupavariable Y to representgender,andidentifyitsprobabilitydistributionforthe populationofstudentsatthisuniversity. (b) Statethesampledatadistributionofgenderforthissample. (c) Describetheshape,center,andspreadofthesamplingdistributionofthesamplepropor- tion offemalesforarandomsampleofsize50.Ifthesampleweretrulyrandom,wouldit

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Atauniversity,60%ofthe7400studentsarefemale.Thestudentnewspaperreportsresultsof a surveyofasimplerandomsampleof50students,18femalesand32males,tostudyalcohol abuse, suchasbingedrinking.

(a) Setupavariable Y to representgender,andidentifyitsprobabilitydistributionforthe populationofstudentsatthisuniversity.

(b) Statethesampledatadistributionofgenderforthissample.

(c) Describetheshape,center,andspreadofthesamplingdistributionofthesamplepropor-

tion offemalesforarandomsampleofsize50.Ifthesampleweretrulyrandom,wouldit besurprisingtosampleonly18females?

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