1-A scientist designed a medical test for a certain disease. Among 100 patients who have the disease, the test will show the presence of the disease in 96 cases out of 100, and will fail to show the presence of the disease in the remaining 4 cases out of 100. Among those who do not have the disease, the test will erroneously show the presence of the disease in 3 cases out of 100, and will show there is no disease in the remaining 97 cases out of 100. 2-Part 1: A drug company is developing a new pregnancy-test kit for use on an outpatient basis. The company uses the pregnancy test on 100 women who are known to be pregnant for whom 95 test results are positive. The company uses test on 100 other women who are known to not be pregnant, of whom 99 test negative. a) What is the sensitivity of the test b) What is the specificity of the test Part 2: the company anticipates that of the women who will use the pregnancy-test kit, 10% will actually be pregnant. c) What is the PV+ (predictive value positive) of the test