New York Gov. Andrew Cuomo said Friday the state has confirmed 96 new coronavirus cases, including the first one in Schenectady County, bringing the statewide total to 421.

New York now leads the nation in confirmed cases, just ahead of the 420 cases confirmed in Washington state.

Cuomo said 50 of the 421 infected New Yorkers remain hospitalized with COVID-19. Of those in the hospital, 18 are in intensive care units.

See New York state map of coronavirus cases county-by-county

The governor said he expects the number of confirmed cases to continue to rise as testing becomes more widespread and available. He cautioned that the increased number of positive cases doesn’t necessarily mean that New York is seeing a surge in the spread of the virus.

“This is going to be everywhere,” Cuomo said. “My guess is there are thousands and thousands of cases walking around New York.”

He said most people have milder cases of the virus, and many may have recovered without knowing they had the virus.

Cuomo told reporters Friday that New York gained permission from the federal government to control its own testing, a move that would allow for a dramatic increase from the 3,000 tests conducted to date in the state.

“We’ll be able to do in one day all of the tests we’ve done to date, believe it or not,” Cuomo said. He predicted the state could begin testing 6,000 people a day in about a week.

The state Health Department will authorize 28 commercial laboratories in New York to do the testing, Cuomo said.

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