Exercise4.3 Continue Example4.8fortesting H0 : = 0 vs. H1 : = 1 based onasample Y1,

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Exercise4.3 Continue Example4.8fortesting H0 : μ = μ0 vs. H1 : μ = μ1 based onasample Y1, ...,Yn ∼N (μ,σ2), where σ2 is known,andnow μ0 > μ1.

1. Showthatthetestthatrejects H0 if ¯Y ≤ μ0−zα

√σ

n is theMPtestatlevel α.

2. What isthepowerofthetest?

3. What isthecorrespondingp-valueforthegivensample?

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