Consider two hospitals, Hospital A and Hospital B. Suppose 160 patients go to Ho

Question

Consider two hospitals, Hospital A and Hospital B. Suppose 160 patients go to Hospital A, 80 of them get cured; while 700 patients go to hospital B and 280 of them are cured. At a glance, it seems that Hospital A is much better than Hospital B. However, a further study reveals that, in each hospital, there are 2 wards, one dealing with high-risk patient, the other low-risk, and in each ward, Hospital A has lower curing rate than Hospital B. Is this possible? If so, complete the following table to support the argument (Note: The table is not unique). You answer should be in the form of "N1,N2,N3,N4,N5,N6,N7,N8" and the order matters.

Low-Risk Ward High-Risk Ward Hospital N1(# of patients cured in Ward AL) N3(# of patients cured in Ward AH) 80 (# of patients cured in Hospital A) A N2(# of patiens in ward AL) N4(# of patients in Ward AH) 160 (# of patiens in Hospital A) Hospital N5(# of patients cured in Ward BL) N7(# of patients cured in Ward BH) 280 (# of patiens cured in Hospital B ) B N6(# of patiens in ward BL) N8(# of patients in Ward BH) 700 (# of patiens in Hospital B)

Explanation / Answer

So we have 50% of the patients in hospotal A are cured and 40% of patients are cured in hospital B .

Now it is always true that if a hospital is good in curing high risk patients then that hospital is good. So if N7/N8 is greater than N3/N4 then we can that high risk patients have more chance to be cured if they are admitted in hospital B .

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