Final answer:
The Democratic-Republican Party believed that common people were capable of running the government, and this reflected their support for states' rights and limited federal power.
Step-by-step explanation:
The belief of the Democratic-Republican Party is that "Common people were capable of running the government." This reflects their support for the idea that the government should mirror the will of the majority and serve the interests of the common citizen. In contrast to the Federalists, who believed in a strong federal government led by the elite, the Democratic-Republicans emphasized states' rights, agrarian interests, and limited federal government power.