Suppose that Xl •...• XIl form a random sample from a distribution involving a parameter Q whose value is unknown, and suppose that it is desired to test the following hypotheses:
Suppose also that the test procedure to be used ignores the observed values in the sample and, instead, depends only on an auxiliary randomization in which an unbalanced coin is tossed so that a head will be obtained with probability 0.05 and a tail will be obtained with probability 0.95. If a head is obtained, then Ho is rejected; and if a tail is obtained, then Ho is accepted. Describe the power function of this randomized test procedure.