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A clinical trial studies treatment effectiveness across 3 hospital strata. Treatment success rates within each hospital differ from the overall rate, and hospital location also affects outcome. The Cochran-Mantel-Haenszel (CMH) test is preferred over a simple pooled analysis because:

A) It stratifies by hospital as a potential confounder and provides an adjusted treatment effect estimate
B) It assumes conditional independence of outcomes within each hospital
C) It increases statistical power by borrowing strength across strata
D) It is valid even when stratification variables are unobserved

Which statements are correct?