with samplesize100, and set P(TypeIerror) = = 0.05. Theappshowsthenullsamplingdistributionof and the actual samplingdistributionof for varioustruevaluesof . Clickon Show TypeIIerror, and it alsodisplays

with samplesize100, and set P(TypeIerror) = α = 0.05. Theappshowsthenullsamplingdistributionof ˆπ and the actual samplingdistributionof ˆπ for varioustruevaluesof π. Clickon Show TypeIIerror, and it alsodisplays P(TypeIIerror).

(a) Setthetruevalueoftheproportiontobe(i)0.55,(ii)0.60,(iii)0.65,(iv)0.70.Report P(TypeIIerror)ineachcaseandsummarizetheimpactof π getting fartherfromthe H0 valueof0.50.

(b) Report P(TypeIIerror)for π = (i) 0.53,(ii)0.52,(iii)0.51.Explainwhy P(TypeIIerror)

approaches 1 − α =