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Mathematics, 19.03.2021 18:40 chanthonymjones

Early diagnosis and treatment of malaria are necessary components in the control of malaria. The gold-standard light microscopy test has high sensitivity but is a relatively time-consuming procedure especially during epidemics and in areas of high concentration. A new Cyscope fluorescence microscopy test has been developed and gives results in less than 10 minutes. The test has a specificity of 98.92% and a sensitivity of 95.48%. Given a base rate of 12.5% and a theoretical population of 10,000, construct the contingency table for thit-scenario.

Test Positive Test Negative Total
I Have Malaria
Do not have Malaria
Total 10,000

Required:
a. What proportion of the people who test negative for Malaria would we expect to actually have the disease?
b. What proportion of people who test negative for Malaria will not have the disease?
c.

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