Politicians, celebrities, social media influencers and even N.B.A. teams have been tested for the new coronavirus. But as that list of rich, famous and powerful people grows by the day, so do questions about whether they are getting access to testing that is denied to other Americans. With testing still in short supply in areas of the country, leaving health care workers and many sick people unable to get diagnoses, some prominent personalities have obtained tests without exhibiting symptoms or having known contact with someone who has the virus. In areas of the country where the virus has been slow to appear, people have been able to obtain tests easily. But in New York, California, Washington State and Massachusetts, where the virus has spread rapidly and demand for tests is most high, it is very difficult. The New York City Health Department has directed doctors only to order tests for patients in need of hospitalization. People with mild symptoms are being told to quarantine themselves at home. Even health care workers, at high risk of contracting the virus and transmitting it, have struggled to get tested. Police chiefs across the country are growing concerned that they cannot get their hands on tests. What's frustrating is to continue to hear that there aren't testing kits available, and my rank and file have to continue to answer calls for service while professional athletes and movie stars are getting tested without even showing any symptoms," said Eddie Garcia, the police chief of San Jose, Calif..