## Question

###### Let Xi iid U(0,0 + 1),i = 1,. n _ To test Ho 0 0 versus H1 0 0,the following test is considered: Reject Ho if Yn Z 1 or Yi Z k for a constant kDetermine k so that the test has size a_Find the power function of the test obtained in part (a): Determine whether the following is true and show why: If k is selected so that the test has size 4, then the given test is UMP of size a.

Let Xi iid U(0,0 + 1),i = 1,. n _ To test Ho 0 0 versus H1 0 0,the following test is considered: Reject Ho if Yn Z 1 or Yi Z k for a constant k Determine k so that the test has size a_ Find the power function of the test obtained in part (a): Determine whether the following is true and show why: If k is selected so that the test has size 4, then the given test is UMP of size a.

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