Question

Given the PDF f(x , θ ) = 1/θ , 0 ≤ x ≤ θ and that you are testing the null hypothesis H0 ; θ =1 against H1 ; θ = 2 , a single observed value of x . What would be sizes of the TYPE 1 & TYPE 2 Errors . If you choose the interval
i) 0.5 ≤ x
ii) 1 ≤ x ≤ 1.5
As the critical regions . Also obtain the power of the test ?

Answer 1

Answer:

I)-3+4+₹+₹+₹+₹₹-₹₹5#+#+2+272+#(₹₹_