Problem 4. (6 points) Rapid antigen tests aim to confirm or rule out COVID-19 infection in people with or without COVID-19 symptoms. They are beneficial because they are portable, easy to perform, and less expensive than standard labor tests. However, they are generally not as accurate as a molecular PCR test administered by a health care professional. A recent study found that in asymptomatic people with confirmed COVID-19, antigen tests correctly identified COVID-19 infection 60.2% of the time and in asymptomatic people who did not have COVID-19, antigen test correctly ruled out infection 98.9% of the time. During the height of the Omicron wave in early 2022, the estimated prevalence of COVID-19 in Calgary was 3%. Suppose an asymptomatic Calgarian was randomly sampled during this time and tested with the rapid antig test. (a) (Worth 25%) What is the sensitivity of the rapid antigen test? Sensitivity = (Express by three decimal places as a proportion) (b) (Worth 30%) What is the probability that the randomly sampled asymptomatic Calgarian tests positive with the rapid antigen test? Answer = (Express by four decimal places) (c) (Worth 45%) Suppose the randomly sampled asymptomatic Calgarian had a positive test result. What is the probability that they do have COVID-19? Answer = (Express by four decimal places) preview answers Problem 5. (6 points) According to the National Health and Nutritional Examination Survey (NHANES) data, the distribution of weights for the population of adult males in the United States has mean u= 173.4 lbs and standard deviation o = 30 lbs. MacBook Air