The Trump administration’s new testing strategy, released Sunday to Congress, holds individual states responsible for planning and carrying out all coronavirus testing, while planning to provide some supplies needed for the tests.

The proposal also says existing testing capacity, if properly targeted, is sufficient to contain the outbreak. But epidemiologists say that amount of testing is orders of magnitude lower than many of them believe the country needs…

Mr. Becker and others said it’s reasonable to expect states to implement some aspects of the testing, such as designating test sites. But acquiring tests involves reliance on national and international supply chains — which are challenging for many states to navigate.

“That’s our biggest question, that’s our biggest concern, is the robustness of the supply chain, which is critical,” Mr. Becker said. “You can’t leave it up to the states to do it for themselves. This is not the Hunger Games.”