8. Randomized Test It was demonstrated in Example 9.10 that the choices of size for most powerful tests of the hypothesis H0: p .2

8. Randomized Test It was demonstrated in Example 9.10 that the choices of size for most powerful tests of the hypothesis H0: p ¼ .2 versus Ha: p ¼ .8 was quite limited. Suppose that a .05 level test of the null hypothesis was desired and that you were willing to utilize a randomized test. In particular, examine the following randomized test rule:

x  8 ) reject H0