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Review Question - QID 214850

QID 214850 (Type "214850" in App Search)
A 23-year-old man is brought to the emergency department for a 50% total body surface area burn. He must be cleared of SARS-CoV-2 coronavirus infection prior to admission to the burn unit; otherwise, he will be redirected to another intensive care unit. A novel rapid test is performed in the emergency department, and the test is found to be negative. This new test has a clinical sensitivity of approximately 85.00% and a specificity of 75.00%. The rates of SARS-CoV-2 infection in this community are unknown, but it is believed that approximately 500 individuals out of every 10,000 are infected. The patient is admitted to the burn unit while the gold standard test results are pending. Which of the following is the probability that the patient truly is not infected?