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# Fx(x; θ)=1/ θ for 0<x< θ. We want to test H0:  θ=1 and H1 :  θ>1. To do...

Fx(x; θ)=1/ θ for 0<x< θ. We want to test H0:  θ=1 and H1 :  θ>1. To do this, we take a single observation X1 of X and we reject H0 if X1> 0.9 .

1. what is the probabilty of Type I error? (false positive, probability = α)

2. what is the value of ß ( type 2 erros ) if θ=1.5?

error type ressources: https://en.wikipedia.org/wiki/Type_I_and_type_II_errors

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