This is Epidemiology/Stats. Please show all work and provide reasoned explanation where requested. The deadline is strict and cannot be changed. If you cannot complete it within time, do NOT accept.

1. A company develops a new screening test and wants it evaluate it's performance. The company's researchers test it out on 100 people diagnosed with the Test's target, and on 200 controls known to be free of the disease. Ninety of the cases yield positive tests, as do 30 of the controls. Based on these data, what are the specificity and false positive error rates of the tests? Show your work that led to your answer. (10 points)

2. Of the features listed below, which is not conducive to success of a medical screening program? (2 points) a. high incidence b. long duration of inapparent disease c. excellent therapeutic results at all stages d. screening inexpensive e. high specificity of the test

2a. Explain the reasoning for your answer above (5 points) bosom

3. The Association for Disease X reported that 6% of the population over 60 years of age has Disease X. As you are approaching 60 years of age you inquire about the source of the information used in their report. The Association cites population screening data in the literature which reports that 6% of that population was positive when screened. Referring to the literature, you discover that the screening test used had sensitivity of 95% and specificity of 98%.

What proportion of the population over 60 years of age do you think really has the disease? Show your work (10 points)