District hospitals in Kenya face challenges in managing patient flow and resource allocation efficiently. A mixed-method approach combining qualitative interviews with quantitative data collection was employed to evaluate current procedures and propose improvements. Analysis revealed an average of 20% inefficiency in resource distribution across hospitals, suggesting the need for targeted interventions. The quasi-experimental design demonstrated effectiveness in identifying areas for improvement, providing a roadmap for system enhancement. Immediate implementation of evidence-based risk reduction strategies is recommended to improve patient care and hospital operations. Treatment effect was estimated with $\text{logit}(p_i)=\beta_0+\beta^\top X_i$, and uncertainty reported using confidence-interval based inference.