Suppose you have a sample of size n=1 from a Uniform [0,θ] distribution, where θ>0 is unknown. You test H_0:θ=0, where θ?R^1. You use a size 0.05 testing procedure and accept H_0. You feel you have a fairly large sample, but when you compute the power at ± 0.2, you obtain a value of 0.10 where 0.2 represents the smallest difference from 0 that is of partial importance. Do you believe it makes sense to conclude that the null hypothesis is true? Justify your conclusion.
These two problems will be handed in with HW 11: 8.2.16 (the problem should read "where σ12>σ02"), 8.2.20 (determine whether the test is UMP size α for H0: λ=λ0 versus Ha: λ> λ0).