Calculating the Sample Size for Estimating the Proportion of Tourists in Las Vegas Spending Over $1,000

Calculates sample size for a statistical study.

Lily Green

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CalculatingtheSampleSizeforEstimatingtheProportionofTouristsinLasVegasSpendingOver$1,000Pastsurveysrevealthat30%oftouristsgoingtoLasVegastogamblespendmorethan$1,000.TheVisitor'sBureauofLasVegaswantstoupdatethispercentage.a.Thenewstudyistousethe90%confidencelevel.Theestimateistobewithin1%ofthepopulationproportion.Whatisthenecessarysamplesize?(Roundyouranswertothenextwholenumber.)2zA(Zoos)?_1.645\%__Samplesize2p*(1—p)*(Bs)=030.7*(35)=5682.65=5683b.TheBureaufeelsthesamplesizedeterminedaboveistoolarge.Whatcanbedonetoreducethesample?Basedonyoursuggestion,recalculatethesamplesize.(Hint:Useanallowableerrorintherangeof0.01to0.05)(Roundyouranswertothenextwholenumber.)—StudyXY

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