Final answer:
The authority of the local health department is delegated by the state government, which oversees its operations and ensures that health services meet the specific needs of state populations.
Step-by-step explanation:
The authority of the local health department is typically delegated by state government. While the federal government does have significant influence over health policies and provides funding for health programs, the everyday operations and responsibilities of local health departments are more immediately overseen by state health agencies.
According to Dillon's Rule, the idea that local governments have the freedom and flexibility to make their own decisions is not entirely accurate, suggesting that they operate within the powers granted by the state. For example, public education and health care services at the state level can be enhanced with federal funds, but their administration falls under state jurisdiction, which further supports the notion of state oversight over local health departments.