1. Consider the following screening test for cancer applied to 100,000 people of whom 500 have cancer. Each test costs $10, picks up 80% of cancer cases, and additionally 10% of the time falsely diagnoses cancer. Detection of cancer (rightly or wrongly) leads to a further exact diagnostic test that costs $200. Correct early detection of cancer by the test is valued at $10,000. (a) Is the first test worthwhile? Explain your answer. (b) Is a second test, performed at the same time as the first test (at additional cost of $10), worthwhile? Explain your answer. 2.(a) What is the advantage, if any, of cost benefit analysis over cost-effectiveness analysis? (b) What is the advantage, if any, of cost-effectiveness analysis over cost benefit analysis? (c) What is the difference, if any, between cost-effectiveness analysis for life-years saved and QALY's