The United States economy is slowing and wage growth has slipped, but household incomes are rising and the unemployment rate is at a half-century low. This is the complicated — and somewhat contradictory — state of the American economy that President Trump painted over with a big smiley face at the Economic Club of New York on Tuesday.

In remarks and a question-and-answer session, Mr. Trump continued to portray himself as a savior of what had been a moribund economy, trumpeting job gains and increased worker pay on his watch. To support his claims, he unleashed a flurry of economic statistics. Some were accurate, some were misleading and some appear nowhere close to the truth.

Here are some of the president’s claims.

What the president said

“We are winning” World Trade Organization “cases for the first time.”

False.

The United States is a member of the World Trade Organization, which adjudicates disputes between nations in global trade. Mr. Trump claimed that before he took office, the organization never ruled in favor of America in those disputes: “They would rule against us because they said: ‘Hey, don’t worry about the United States. They are the stupid people. Don’t worry. Rule against them.’”

The World Trade Organization’s history of decisions shows this to be untrue. The United States usually prevails in cases that it brings before the global body.