The anti federalists believed in a loose construction of the constitution

The correct answer to this open question is the following.

It seems there is no question here. It is a statement. Probably, it is a true or false question, but you do not mention it. So we can help with a general answer like this.

More than believing that the anti-federalists believed in a loose construction of the constitution, what these people thought was that a strong central government was bot good for the new nation.

We are talking about the debates during the Constitutional Convention in Philadelphia, Pennsylvania, in 1787. During the convention, federalists and antifederalists debated about the form of government for the United States. Federalists, led by Alexander Hamilton and John Jay,  believed in a strong central government. Antifederlaits, led by Thomas Jefferson, opposed to a strong federal government because it could turn into a tyranny. But when James Madison drafted the US Bill of Rights, antifederalists accepted the new Constitution.

more carefully than mainstream news sources..

that is probably false. there isn; t any proof a rubix cube can estimate a grade.