The research team, which published its findings online in the Journal of the American Medical Association, analyzed data from April 15-May 12, 2021, and May 13-June 9, 2021. … Both Ohio and the rest of the U.S. experienced significant declines in vaccination rates prior to the May 12 lottery announcement, but the researchers noted that after it launched adult vaccination rates did not significantly increase in either Ohio or the rest of the U.S.