U.S. testing for the coronavirus is dropping even as infections remain high and the death toll rises by more than 1,000 a day, a worrisome trend that officials attribute largely to Americans getting discouraged over having to wait hours to get a test and days or weeks to learn the results. An Associated Press analysis found that the number of tests per day slid 3.6% over the past two weeks to 750,000, with the count falling in 22 states. That includes places like Alabama, Mississippi, Missouri and Iowa where the percentage of positive tests is high and continuing to climb, an indicator that the virus is still spreading uncontrolled. Amid the crisis, some health experts are calling for the introduction of a different type of test that would yield results in a matter of minutes and would be cheap and simple enough for millions of Americans to test themselves — but would also be less accurate.“There’s a sense of desperation that we need to do something else,” said Dr. Ashish Jha, director of Harvard’s Global Health Institute.