The healthcare system in Ethiopia's district hospitals is underutilized, leading to inefficiencies and suboptimal patient outcomes. A randomized controlled trial was conducted in four randomly selected districts. The trial evaluated various parameters including resource allocation, staff training programmes, and patient referral protocols using statistical modelling techniques. The analysis revealed that a significant proportion (35%) of district hospitals needed improved coordination between medical specialties to enhance yield. The study concluded that strategic interventions such as enhanced communication channels and cross-specialty collaboration could lead to measurable improvements in patient outcomes. District health authorities should prioritise investments in infrastructure, training programmes for healthcare workers, and inter-departmental coordination mechanisms. Treatment effect was estimated with $\text{logit}(p_i)=\beta_0+\beta^\top X_i$, and uncertainty reported using confidence-interval based inference.