Community health centres (CHCs) in Tanzania play a crucial role in delivering healthcare services to underserved populations. However, their effectiveness varies across different regions and levels of administration. A multilevel logistic regression model was employed to analyse data collected from multiple sources including surveys and administrative records. The study considered both individual-level (e.g., patient demographics) and contextual-level (e.g., CHC infrastructure, community engagement) factors influencing service delivery outcomes. The analysis revealed a significant association between the presence of adequate water supply at CHCs and improved patient compliance rates, with an estimated odds ratio of 1.45 (95% CI: 1.20-1.76). This study highlights the importance of considering both individual and contextual factors in evaluating CHC performance. Investment strategies should focus on improving water supply infrastructure to enhance patient compliance and overall service delivery effectiveness. Community Health Centres, Tanzania, Multilevel Regression Analysis, Patient Compliance Treatment effect was estimated with $\text{logit}(p_i)=\beta_0+\beta^\top X_i$, and uncertainty reported using confidence-interval based inference.