8. Randomized Test It was demonstrated in Ex. 9.10 that the choices of size for most powerful tests of the hypothesis Ho: p = .2 versus Ha: p = .8 were 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 Ho, x = 7 :::} reject Ho with probability., accept Ho with probability (1 - .), x :5 6 :::} accept Ho.