According to the CDC. Swaziland has the highest HV-pervalance in the world 25.9%

Question

According to the CDC. Swaziland has the highest HV-pervalance in the world 25.9% of people aged 15-49. An enzyme-linked immuno-sorbent assay (ELISA) is a very accurate test for HV. For those who carry HV the accuracy of this test is 99.8%, whereas the test is 93.7% accurate for these who doesn't carry HV if a person from swazland is testing positive in the ELISA. What is the probability that he or she is a carrier of HV? The data set "Data for question 4" contains the serum zinc levels (in microgram) for two groups, each with 463 individuals Generate five-number summaries of the data for the two groups! Units please Are there any outers in any of the datasets? (Use the rulers you learned in chapter 2 and 3) Does the individuals in one of the groups land to have higher zinc levels? which one? Justify!

Explanation / Answer

Question 3: Answer = 0.9527

Let E denote Highest HIV Prevalence

P(E) = 0.259

     A denote the Accuracy of the HIV test

P(A/E) = 99.8% = 0.998 and P(A/Ec) = 93.7% = 93.7

P(E/A) = P(A/E)P(E) + P(A/Ec)P(Ec)

           =0.998*0.259 + 0.937*(1-0.259)

           =0.2584 + 0.69431

          = 0.9527

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