Now, suppose the new sputum test described above was administered to 1000 people with possible TB symptoms who have an elevated risk for TB infection. The results from screening in this higher-risk population are shown below.\ \ Physician Work-Up Gold Standard\ New Sputum Test TB No TB Total\ Positive 280 64 344\ Negative 70 586 656\ Total 350 650 1000\ \ \ 1. Calculate the PPV of the test in this higher-prevalence population. Express as a percentage and round to the nearest whole number. \ \ \ 2. What is the NPV of the test in this higher-prevalence population? Express as a percentage and round to the nearest whole number.\ \ \ 3. How did administering the screening test in this population with a higher risk of TB affect the positive and negative predictive values?\