Final answer:
No president has been both impeached and removed from office in the history of the United States. The statement in the question is false.
Step-by-step explanation:
The statement that 'only one president has been convicted by the Senate and removed from office' is false. In the history of the United States, no president has ever been both impeached by the House and removed by the Senate. There have been four presidents who faced impeachment proceedings: Andrew Johnson, Richard Nixon, Bill Clinton, and Donald Trump. Andrew Johnson and Bill Clinton were both impeached by the House but were acquitted by the Senate. Richard Nixon resigned before he could be impeached, and Donald Trump was impeached twice but was also acquitted by the Senate on both occasions. Thus, no president has been removed from office through this process.