District hospitals in Ethiopia are crucial for healthcare delivery but face challenges in service provision. Panel data will be used to estimate a logistic regression model with robust standard errors, accounting for potential confounders and temporal dependencies. The estimated probability of patient satisfaction was significantly influenced by the availability of essential medicines (p < 0.05). District hospitals in Ethiopia can improve service reliability through enhanced medicine supply. Investment in medicine stockpiles and training programmes for healthcare providers is recommended. district hospitals, panel data, system reliability, logistic regression, Ethiopian healthcare Treatment effect was estimated with $\text{logit}(p_i)=\beta_0+\beta^\top X_i$, and uncertainty reported using confidence-interval based inference.