Half of voters say Hillary Clinton has given false information about her health, according to a poll released Wednesday in the wake of the Democratic presidential nominee’s recently disclosed bout with pneumonia.

Fifty percent said Mrs. Clinton has given false information about her personal health to the public, compared to 37 percent who said the same of her GOP rival Donald Trump, according to the Morning Consult poll.

Just 29 percent said Mrs. Clinton has given accurate information about her personal health to the public, compared to 38 percent for Mr. Trump.

Mrs. Clinton’s team disclosed on Sunday that she had been diagnosed with pneumonia days earlier after a video surfaced that showed her stumbling as she left a 9/11 memorial event.

Forty-four percent said Mrs. Clinton’s health concerns would negatively impact her ability to serve as president, compared to 43 percent who said they would not and 13 percent who said they didn’t know or didn’t have an opinion.

In the survey released Wednesday, 22 percent said Mrs. Clinton’s health is above average or excellent, down from 29 percent in a late August survey. And 41 percent said it is now below average or very poor, compared to 26 percent in August.

For Mr. Trump, 36 percent said his health is above average or excellent, compared to 33 percent who said so in late August.

About seven in 10 voters said presidential candidates should be required to release a letter from their physician saying they’re physically fit to serve, and about eight in 10 said they should be required to take similar action about their mental health.

Sixty-six percent said candidates should be required to release previous medical records.

In the past 18 months, both the Trump campaign and the Clinton campaign have released letters from their respective physicians attesting to their health, with the GOP nominee’s doctor writing that if elected, Mr. Trump would be the healthiest individual ever elected to the White House.

Mr. Trump plans to use an appearance this week with television personality Dr. Mehmet Oz to talk about his health.

Some Democrats tried to turn the tables on Mr. Trump on Tuesday by implying he might be overweight.

“Take a look at this character that’s running for president. He complains about her health — what does he do? He’s 70 years old. He’s not slim and trim. He brags about eating fast-food every day,” Senate Minority Leader Harry Reid told reporters.

And David Plouffe, a former top strategist for President Obama, compared Mr. Trump to the portly former President William Howard Taft.

“So here’s Trump. Dr. Feelgood put out a 1-page letter. He’s 70. He’s the heaviest president we’ve had, candidate, since William Taft,” Mr. Plouffe said on MSNBC’s “MTP Daily.”

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