SOLUTION: How do I fill the answers in the table in millions in decimal form, also I am not sure how the 0.58 comes into the picture. Can you help me please!
Thanks,
Crohn's is an i
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-> SOLUTION: How do I fill the answers in the table in millions in decimal form, also I am not sure how the 0.58 comes into the picture. Can you help me please!
Thanks,
Crohn's is an i
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Question 1040016: How do I fill the answers in the table in millions in decimal form, also I am not sure how the 0.58 comes into the picture. Can you help me please!
Thanks,
Crohn's is an incurable inflammatory disease of the intestines. The screening test for Crohn's has a sensitivity of 80% and a specificity of 90.1%.
Assume that this test is applied to the group of approximately 3.3 million Americans who suffer from symptoms that are very similar to those of Crohn's. Suppose also that all of the 0.58 million Crohn's sufferers belong to this group.
Fill in the following table based on this group of 3.3 million. (Write your answers in millions and round to two decimal places.)
Has disease Does not have disease Totals
Test positive (millions XX XX XX
Test negative (millions XX XX XX
Totals XX XX 3.3
You can put this solution on YOUR website! sensitivity = true positives / (true positives + false negatives)
:
specificity = true negatives / (true negatives + false positives)
:
true positive: the patient has the disease and the test is positive
false positive: the patient does not have the disease but the test is positive
true negative: the patient does not have the disease and the test is negative
false negative: the patient has the disease but the test is negative
:
A test with 100% sensitivity correctly identifies all patients with the disease. A test with 80% sensitivity detects 80% of patients with the disease (true positives) but 20% with the disease go undetected (false negatives).
:
A test with 100% specificity correctly identifies all patients without the disease. A test with 90.1% specificity correctly reports 90.1% of patients without the disease as test negative (true negatives) but 9.9% patients without the disease are incorrectly identified as test positive (false positives).
:
0.20 * 0.58 = 0.116 approx 0.12 million are false negatives
0.80 * 0.58 = 0.464 approx 0.46 million are true positives
3.3 - 0.58 = 2.72 million patients without the disease
:
0.901 * 2.72 = 2.45072 approx 2.45 million patients are true negatives
0.099 * 2.72 = 0.26928 approx 0.27 million patients are false positives
:
0.46 0.27 0.73
0.12 2.45 2.57
0.58 2.72 3.30
:
