Final answer:
All statements about the election of 1800 are true except the fourth, which suggests that John Adams refused to attend Thomas Jefferson's inauguration. There's no historical record to support this claim, making it an incorrect statement.
Step-by-step explanation:
The student's question refers to a list of statements about the election of 1800 and asks which of them is not true. Going through the list, the first statement is true as Alexander Hamilton did actively work against Federalist candidate John Adams, as Hamilton had a significant disagreement with Adams' administration policies. The second statement is also true. There was indeed a split within the Federalist Party during the election of 1800, contributing to their defeat. The third statement is also accurate. The electoral college chose Thomas Jefferson to be the third president, after the House of Representatives resolved a tie between Jefferson and Aaron Burr. The fifth statement states that the election led to changes in the presidential electoral process, which is true. The tied result of the election highlighted a flaw in the original system where electors cast two votes for president, leading to the 12th Amendment.
However, the fourth statement is incorrect, making it the correct answer to this question. While John Adams was indeed disappointed by his defeat, there's no historical evidence to suggest that he refused to attend Jefferson's inauguration as a form of protest.
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