Unit 6: Applications of Probability "Are you positive?" Performance Task #2 Be sure to show your work where possible-failure to show work will result in deduction in grade We know that modern medicine is rich with biology. chemistry and countless other branches of science. While mathematics does not make a lot of headlines for changing the way we think about our health and well-being. there are many ways in which mathematics is informing and improving the way scientists and doctors approach the world of medicine. Consider the following data for a group of EDDD women. Of these women. 16 are known to have breast cancer. All 20GB undergo the same test to determine whether or not they have breast cancer. and 154 test positive. 14 of the 16 that have breast cancer test positive and 14C! of those that do not have breast cancer test positive. 1. Based on the data presented above. do you think the test for breast cancer is effective at identifying women who have breast cancer? Why or why not\"? 2. Organize the data using the table below. Women with Breast Cancer Test Positive Test Negative Women without Breast Cancer Test Positive Test Negative