Why did the Federalists think it dangerous to leave too much power to the states?

Anti-Federalists argued that the Constitution gave too much power to the federal government, while taking too much power away from state and local governments. ... Anti-Federalists feared the nation was too large for the national government to respond to the concerns of people on a state and local basis.

Explanation:

health care plans in the united states having high costs because they are focusing on providing quality programs for different groups of individuals. the quality of the service is based on money flow received from the members. without this investment, couldn't be possible a constant scientific searching to prevent death and illness caused because of low levels of health investigation. currently, the complaints are not about the highest cost, but about the coverage and benefits to access the necessary health services required by the members.  

besides, if a global health system is established the quality levels will fall down because of the standardized of the health. the access to care will increase but the quality will be low because it depends on the money invested.