This study aims to evaluate the efficiency of district hospitals in Senegal by applying a Bayesian hierarchical model. A Bayesian hierarchical model was employed to analyse data from Senegalese district hospitals, providing insights into system performance through statistical inference. Bayesian estimates revealed significant variability in hospital efficiency across districts, with some showing substantial improvements over the study period. The findings suggest that targeted interventions could enhance overall healthcare delivery efficiency within Senegalese district hospitals. Based on these results, tailored support and resource allocation strategies should be implemented to improve efficiency in underserved areas. Treatment effect was estimated with $\text{logit}(p_i)=\beta_0+\beta^\top X_i$, and uncertainty reported using confidence-interval based inference.