The statement, "they believed in a system of checks and balances" is true about the Federalists.
Explanation:
The supporters of the new Constitution called themselves 'FEDERALISTS.' Their terms suggest a pledge to a free and hierarchical governing system.
"FEDERALISM"— a powerful central authority— in many ways was the reverse of the policy they support "NATIONALISTS" would have been a more specific term for the democratic backers.
Federalists wanted a Powerful state administration. They felt that if the states were to merge to create a country a powerful central administration was required.
The federalists were not feared by the constitution - based on Government of Central America because the law had three parts - the executive, the legislature, and the judiciary. This couldn't make the central government too strong.