The election ultimately hinged on both New York and Pennsylvania[1], and while Clinton was able to take his home state, he failed to take Pennsylvania and thus lost the election to traditional Democratic Republican candidate and incumbent President James Madison won by a narrow margin.
Notes
^While commonly labeled as the Federalist candidate, Clinton technically ran as a Democratic-Republican and was not nominated by the Federalist party itself, the latter simply deciding not to field a candidate. This did not prevent endorsements from state Federalist parties (such as in Pennsylvania), but he received the endorsement from the New York state Democratic-Republicans as well.
References
^Sabato, Larry; Ernst, Howard (1 January 2009). Encyclopedia of American Political Parties and Elections. Infobase Publishing. pp. 303–304. {{cite book}}: |access-date= requires |url= (help)