course | course_year | question_number | tags | title | year | |||
---|---|---|---|---|---|---|---|---|
Statistics |
IB |
75 |
|
Paper 1, Section II, H |
2019 |
State and prove the Neyman-Pearson lemma.
Suppose that
(a) Find the critical region of the likelihood ratio test of size
(b) Define the power function of a hypothesis test and identify the power function in the setting described above in terms of the
(c) Define what it means for a hypothesis test to be uniformly most powerful. Determine whether the likelihood ratio test considered above is uniformly most powerful for testing