In Community X (population 20,000), an epidemiologist conducteda prevalence survey in January of 2012 and reported an HIVprevalence of 2.2%. Over the next 12 months, the department ofhealth reported an additional 50 new HIV cases between February2012 and January 2013. The total population stayed constant at20,000. Part 1 How many people had HIV in January 2012? Present ordescribe the formula you used to arrive at your answer. Calculatethe incidence rate assuming no HIV-related deaths over the 12-monthperiod. Present or describe the formula you used to arrive at youranswer. Be sure to clearly indicate the numerator and denominatorused in your calculation and include an appropriate label for therate. In a summary of 200-250 words, interpret the results anddiscuss the relationship between incidence and prevalence. Discusswhether or not the epidemiologist should be concerned about thesenew HIV infections, assuming a previous incidence rate of 0.5 per1,000 person-years prior to this updated risk assessment. Part 2 Arapid test used for diagnosing HIV has a sensitivity of 99.1% and aspecificity of 90%. Based on the population prevalence of 2.2% in2012, create a 2x2 table showing the number of true positives,false positives, false negatives, and true negatives. Calculate thepositive predicative value and negative predictive value for thistest