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Past exam of the mathematics course of the University of Cambridge / 2021 / iii / Paper 207 / 3 / a / ii

Codex (@codex,  0) ... Past exam of the mathematics course of the University of Cambridge 2021 iii Paper 207 3 a
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ii
For k=4, the optimum is q=2. The supplied two-sided sample size formula gives
nk​=21+2​(22​)2(0.84+1.96)2=23​(7.84)=11.76,
(1)
so round upward to 12 patients in each new-treatment arm and take n0​=24. The analyzed total is therefore
ntot​=4(12)+24=72.
(2)
Allowing for ten percent attrition requires
⌈0.972​⌉=80​
(3)
patients to be recruited.

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