This study determines the statistical relationship between government health expenditure and vital health indicators in Haryana, India. Despite high per capita income, Haryana has historically faced a developmental paradox characterized by lagging maternal and infant health metrics. Using secondary time-series data for the period of twenty four years (2001 to 2024) from various sources, the paper evaluates the empirical impact of Government Health Expenditure (GHE) as the independent variable. Ordinary Least Squares (OLS) linear regression analysis was applied through SPSS to evaluate four dependent variables: Death Rate, Infant Mortality Rate (IMR) and Maternal Mortality Ratio (MMR). The regression models demonstrate that increased government health spending exerts a statistically significant, negative impact on the IMR and MMR. Conversely, the analysis uncovers a positive relationship between government health expenditure and Death Rate. The results underscore that strategic and well-targeted public expenditure is the definitive mechanism required to maximize social returns and accelerate human development. The paper concludes with actionable policy recommendations, emphasizing the structural necessity of directing budgets toward rural primary care and investment in digitized registration platforms disparities.