# ExplainwhytheconfidenceintervalbasedontheWaldtestof H0: = 0 is symmetricaround (i.e., havingcenterexactlyequalto . Thisisnottruefortheconfidenceintervalsbasedon the likelihood-ratioandscoretests.)Explainwhysuchsymmetrycanbeproblematicwhen and

## Question:

ExplainwhytheconfidenceintervalbasedontheWaldtestof H0: θ = θ0 is symmetricaround

ˆθ (i.e., havingcenterexactlyequalto ˆθ. Thisisnottruefortheconfidenceintervalsbasedon the likelihood-ratioandscoretests.)Explainwhysuchsymmetrycanbeproblematicwhen θ

and ˆθ are nearaboundary,usingtheexampleofapopulationproportionthatisverycloseto 0 or1andasampleproportionthatmaywellequal0or1.

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**Related Book For**

## Foundations Of Statistics For Data Scientists With R And Python

**ISBN:** 9780367748456

1st Edition

**Authors:** Alan Agresti