s) 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 98.47% and a sensitivity of 94.24%. 1) Given a base rate of 13.5% and a theoretical population of 10,000, construct the contingency table for this scenario. Test Positive Test Negative Total Have Malaria Do not have Malaria Total 10,000 2) What proportion of the people would we expect to test negative for Malaria? 3) What proportion of the people who test positive for Malaria would we expect to actually have the disease? 4) What proportion of people who test negative for Malaria will not have the disease? 5) If the base rate is actually 20% then the probability of actually having the disease someone tests positive ?

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onts) 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 98.47% and a sensitivity of
94.24%.
1) Given a base rate of 13.5% and a theoretical population of 10,000, construct the contingency table for this scenario.
Test Positive
Test Negative
Total
Have Malaria
Do not have Malaria
Total
10,000
2) What proportion of the people would we expect to test negative for Malaria?
3) What proportion of the people who test positive for Malaria would we expect to actually have the disease?
4) What proportion of people who test negative for Malaria will not have the disease?
5) If the base rate is actually 20% then the probability of actually having the disease if someone tests positive ?
Transcribed Image Text:onts) 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 98.47% and a sensitivity of 94.24%. 1) Given a base rate of 13.5% and a theoretical population of 10,000, construct the contingency table for this scenario. Test Positive Test Negative Total Have Malaria Do not have Malaria Total 10,000 2) What proportion of the people would we expect to test negative for Malaria? 3) What proportion of the people who test positive for Malaria would we expect to actually have the disease? 4) What proportion of people who test negative for Malaria will not have the disease? 5) If the base rate is actually 20% then the probability of actually having the disease if someone tests positive ?
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