Final answer:
The false statement about the presidential election of 1840 is that D. Harrison made speeches supporting Jackson's administration, which led to his death. In reality, his death was due to illness after a lengthy inauguration speech.
Step-by-step explanation:
In the presidential election of 1840, the Whig party nominated William Henry Harrison over Henry Clay primarily due to Harrison's military reputation and perceived appeal as a man of the people. The Whigs used effective marketing strategies including distributing hard cider at political rallies and capitalizing on a derisive comment about Harrison's log cabin lifestyle. This was a significant factor in the successful image rebranding of Harrison as a down-to-earth war hero which contributed to his victory. However, the statement that Harrison made speeches supporting Andrew Jackson's administration that contributed to his untimely death is false, as Harrison's death was due to illness shortly after his prolonged inaugural address, and there is no record of him publicly supporting Jackson's policies during his campaign.