Why did the antifederalists propose a bill if rights

The federalists at that time felt that the Constitution didn't need a bill of rights because both the people and states kept all the left over powers that weren't designated to the federal government. The anti-federalists on the other hand, wanted to propose the bill of rights because they feared that without a bill of rights, the Constitution wouldn't protect the right's of people or states, and it would give the federal government too much power.

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