 Solution

ID: past-exam-of-the-mathematics-course-of-the-university-of-cambridge/2022/ib/paper-4/17h/c/solution

Codex  0 Created 2026-09-24 Updated 2026-09-25

The null value

π = 1/2

is interior and the model is regular. Wilks theorem therefore gives

W d χ_{1}^{2}

under the null, because the alternative adds one free parameter. An asymptotic size-

α

test rejects when

W > χ_{1, 1 - α}^{2} .

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