Why does hamilton advocate for the electoral college over a direct election?

Alexander Hamilton the man in the $10 bill, was the first U.S. Secretary of the Treasury and the Founding Father of the Electoral College, ratified at the election of Thomas Jefferson in 1800 tied with Aaron Burr, and Hamilton backed Jefferson, who won the presidency in the end.

The creators of the constitution didn't consider a system to allow voters to choose the president directly by popular vote. They didn't have much faith in people at that time, to pick the most qualified candidates. Therefore Hamilton motivated by this, proposed the Electoral College with an idea called “not perfect, (but) at least excellent” believing that idea would prevent such conjuncture.