Anti-Federalists believe that most of the government's power should lie with

Within the people? They believed that the government was holding too much power and they feared that it might be dominated by the wealthy. They technically preferred a weak government.

the states

Explanation:

unlike the federalists, who wanted a strong federal goverment, the anti-federalists were worried that a strong federal government could cause tyranny. so the anti-federalists believed that power should go to the state and local goverments instead.