Answer :
Answer:
The sensitivity of the test is 0.9
Step-by-step explanation:
The given information are;
Has disease, Does not have disease
Test positive, 180 40
Test negative, 29 400
Where:
True Positive = TP = 180
False Positive = FP = 40
False Negative = FN = 29
True Negative = TN = 400
Sensitivity = TP/(TP + FN) = 180/(180 + 29) = 0.861
The sensitivity for the test is 0.861 which is 0.9 to one decimal place.
A ratio shows us the number of times a number contains another number. The specificity of the test is 90.90%.
What is a Ratio?
A ratio shows us the number of times a number contains another number.
The information table that is given to us has the following details, as shown below.
Has disease, Does not have the disease
Test positive, 180 40
Test negative, 29 400
Now, according to the given information, you can conclude a few of the points,
- True Positive = TP = 180
- False Positive = FP = 40
- False Negative = FN = 29
- True Negative = TN = 400
As we know that the specificity of a test is given as the ratio of the true negatives and the non-diseased, since the number of people who were true negative is 400, while the number of people who are non-diseased is 440(People who are negative + people who are falsely positive). Therefore, the specificity can be written as,
[tex]\rm Specificity = \dfrac{\text{True Negative}}{\text{Non-diseased}} \times 100\%[/tex]
[tex]\rm Specificity = \dfrac{400}{440}\times 100\% = 90.90\%[/tex]
Hence, the specificity of the test is 90.90%.
Learn more about Ratios:
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