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State leaders across the U.S. moved to expand testing for the new coronavirus, while lifting some restrictions on travel and business that have crippled the nation’s economy.

The moves come as confirmed infections topped 4 million across the world, and the U.S. death toll climbed above 78,000.

New York Gov. Andrew Cuomo on Saturday announced the opening of 22 new sites meant to provide coronavirus testing for thousands of residents and enable epidemiologists to trace the disease’s spread.

The sites will be housed at churches in low-income areas across the state and will target black and Hispanic New Yorkers, communities that have been disproportionately affected by the disease, Mr. Cuomo said.

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Mary Spoto, general manager of Madison Chop House Grille, places a sign outside the restaurant as she and her staff prepare to shift from take out only to dine-in service Monday, April 27, 2020, in Madison, Ga. (Associated Press)

He encouraged residents to obtain tests, even if they have no symptoms.

“The sites will be there. We now need New Yorkers to go get the test,” Mr. Cuomo said.

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New York joins other states that are developing new testing capabilities. Delaware Gov. John Carney said Friday his state would begin an effort to quadruple its testing ability. Connecticut is lifting restrictions on who can order the tests, allowing pharmacists as well as doctors, Gov. Ned Lamont said Thursday.

The efforts come as some of America’s most prominent public-health doctors say the country must double the amount of testing it is doing and conduct at least four million a week to track the disease.

This story continues in The Wall Street Journal.