Instructions Complete the following questions. When possible, be sure to show all work. Submit your answers on an MS Word or Excel le in Canvas. 1. (1 0 points) Medical tests, such as those for diseases, are sometimes characterized by their sensitivity and specicity. The sensitivity of a test is the probability that a diseased person will show a positive test result (a correct positive). The specicity of a test is the probability that a healthy person will show a negative test result (a correct negative). a. Both sensitivity and specicity are conditional probabilities. Highlight the scenario that describes sensitivity in Red and highlight the scenario that describes specicity in Green: P( negative result I disease), P( negative result I no disease), P(positive result I disease), P(positive result I no disease). b. The other conditional probabilities listed in (a) can be interpreted as probabilities of false positive and false negatives. Highlight the false positive in purple and the false negative in yellow. 0. A study investigates the use of X-ray readings to diagnose tuberculosis. Diagnosis of 1,820 individuals produced the data in Table 1. Compute both the sensitivity and specicity for this method of diagnosis. Table 1. Data from Tuberculosis (TB) Study Persons without TB Persons with TB Negative Xray 1,739 8 Positive X-ray 51 22