New York State now has roughly 5 percent of the world’s cases.

Lining up for coronavirus testing outside a New York City hospital on Friday.Credit...Dave Sanders for The New York Times

A sharp increase in confirmed coronavirus cases in New York State on Sunday indicated that the state now accounts for roughly 5 percent of coronavirus cases worldwide.

The jump stemmed from both the rapid growth of the outbreak and a significant increase in testing in the state. Health officials emphasized that testing was revealing how quickly the virus had spread.

There are now 15,168 confirmed cases of the coronavirus in the state, up 4,812 since Saturday, and 114 deaths, Mr. Cuomo said. About 13 percent, or 1,974 people in New York who tested positive for the virus, were hospitalized, he said.

The governor took issue with what he called the “insensitive” and “arrogant” behavior of New York City residents who continued to gather in parks and other public spaces. Mr. Cuomo indicated that he would give the city 24 hours to come up with a plan to reduce density in these spaces, which he would need to approve.

“I don’t know what I’m saying that people don’t get,” Mr. Cuomo said, suggesting that city officials could close some streets to traffic to give residents more outdoor space.

Appearing on NBC’s “Meet the Press” on Sunday morning, Mayor Bill de Blasio of New York warned that the city’s hospitals were straining under a deluge of cases, and he again called on Mr. Trump to send more help.

“April is going to be worse than March,” he said. “And I fear May will be worse than April.”

Reporting and research by Ian Austen, Mariel Padilla, Thomas Gibbons-Neff, Katie Van Syckle, Jesse McKinley, Emily Cochrane, Jim Tankersley and Jeanna Smialek

Reference: New York Times