Let and consider the problem of testing 1/2. Show that if we choose the critical region as (i) then the level of significanc of the test is 0.015 and 0.109, respectively. Consider a randomization...

Let

and consider the problem of testing

1/2. Show that if we choose the critical region as (i)

then the level of significanc of the test is 0.015 and 0.109, respectively. Consider a randomization test where

according as X is

respectively. Determine γ in such a way that the size of the test is exactly equal to 0.05.