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The following table shows the results of a medical test. Has Disease Does Not Have Disease Total Positive Test Result 157 28 185 Negative
The following table shows the results of a medical test. Has Disease Does Not Have Disease Total Positive Test Result 157 28 185 Negative Test Result 104 113 Total 166 132 298 Use the preceding data to estimate each of the following. (Express each response as a percentage rounded to one decimal place.) a. If a person tests positive, what is the probability that person has the disease? This is sometimes called the PPV (positive predictive value). % b. If a person tests positive, what is the probability that person does not have the disease? This is sometimes called the false discovery rate. % c. If the person tests negative, what is the probability that person does not have the disease? This is sometimes called the NPV (negative predictive value). % d. If the person tests negative, what is the probability that person has the disease? This is sometimes called the false omission rate. % The following table shows the results of a medical test. Has Disease Does Not Have Disease Total Positive Test Result 491 Negative Test Result 20 Total 511 236 50 186 206 747 541 Use the preceding data to estimate each of the following. (Express each response as a percentage rounded to one decimal place.) a. If a person has the disease, what is the probability that person tests positive? This is the sensitivity or true positive rate of a test. % b. If a person has the disease, what is the probability that person tests negative? This is sometimes called the false negative rate. % c. If a person does not have the disease, what is the probability that person tests negative? This is the specificity or true negative rate of a test. % d. If a person does not have the disease, what is the probability that person tests positive? This is sometimes called the false positive rate. % Suppose a test for a disease has a sensitivity of 84% and a specificity of 79%. Further suppose that in a certain country with a population of 60,000, 20% of the population has the disease. Fill in the accompanying table. Has Disease Does Not Have Disease Total Positive Test Result Negative Test Result Total
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