Take the New York metropolitan area's progress against the coronavirus out of the equation and the numbers show the rest of the U.S. is moving in the wrong direction, with the known infection rate rising even as states move to lift their lockdowns, an Associated Press analysis found Tuesday.

New confirmed infections per day in the U.S. exceed 20,000, and deaths per day are well over 1,000, according to figures from Johns Hopkins University. And public health officials warn that the failure to flatten the curve and drive down the infection rate in places could lead to many more deaths — perhaps...