Suppose that the people attending a resort have a long-term chance of 1 in 100 of having skin can...
Suppose that the people attending a resort have a long-term chance of 1 in 100 of having skin cancer (from too much sun exposure). The resort maintains a clinic to help detect this disease. Suppose that the screening used at this clinic has a false positive rate of 0.2 (that is 20% of people without skin cancer will test positive for cancer) and that it has a false negative rate of 0.1 (10% of people with skin cancer will test negative). Suppose that a person has just tested positive for skin cancer. What is the probability that he actually has the disease?
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Suppose that the people attending a resort have a long-term chance of 1 in 100 of having skin can...
It is estimated that 1% of all people have a particular disease. The test for this...
It is estimated that 1% of all people have a particular disease. The test for this disease has a false positive rate of 2%, and a false negative rate of 3%. 1. Draw a tree diagram for this experiment. 2. Suppose that a person is selected at random and tested. Given that the test is negative, what is probability that the person does not have the disease?
RBV testing Suppose that 1% of all people are infected with the rare banana virus (RBV)....
RBV testing Suppose that 1% of all people are infected with the rare banana virus (RBV). There is a test to detect the RBV: if you do have the RBV, then the test will correctly detect this 99% of the time; if you do not have RBV, then the test will correctly indicate this 97% of the time. We assume that if the RBV test is given repeatedly to the same person, then the test results are independent of cach...
[Base Rate Fallacy] Suppose a particular disease has a prevalence of 0.5 % people. A medical...
[Base Rate Fallacy] Suppose a particular disease has a prevalence of 0.5 % people. A medical test to detect this disease has a false-positive rate of 5 % and diagnoses correctly every person who has the disease. What is the probability that a randomly selected person found to have a positive result actually has the disease? Give your answer to three decimal places.
Suppose next that we have even less knowledge of our patient, and we are only given...
Suppose next that we have even less knowledge of our patient, and we are only given the accuracy of the blood test and prevalence of the disease in our population. We are told that the blood test is 98 percent reliable, this means that the test will yield an accurate positive result in 98% of the cases where the disease is actually present. Gestational diabetes affects 9 percent of the population in our patient’s age group, and that our test...
Breast cancer is the most common non-skin malignancy among women in the United States, and it...
Breast cancer is the most common non-skin malignancy among women in the United States, and it is the second leading cause of death from cancer among women (lung cancer ranks Örst). A mammogram is a diagnostic procedure designed to quickly detect breast cancer. Such a test can exhibit two kinds of errors: One error is known as a false positive: The test incorrectly indicates cancer in a healthy woman. The other error (which is more serious error in this situation)...
Suppose next that we have even less knowledge of our patient, and we are only given the accuracy of the blood test and p...
Suppose next that we have even less knowledge of our patient, and we are only given the accuracy of the blood test and prevalence of the disease in our population. We are told that the blood test is 98 percent reliable, this means that the test will yield an accurate positive result in 98% of the cases where the disease is actually present. Gestational diabetes affects 9 percent of the population in our patient’s age group, and that our test...
2. Suppose next that we have even less knowledge of our patient, and we are only...
2. Suppose next that we have even less knowledge of our patient, and we are only given the accuracy of the blood test and prevalence of the disease in our population. We are told that the blood test is 90 percent reliable, this means that the test will yield an accurate positive result in 90% of the cases where the disease is actually present. Gestational diabetes affects 0+1 percent of the population in our patient’s age group, and that our...
Suppose next that we have even less knowledge of our patient, and we are only given...
Suppose next that we have even less knowledge of our patient, and we are only given the accuracy of the blood test and prevalence of the disease in our population. We are told that the blood test is 96 percent reliable, this means that the test will yield an accurate positive result in 96% of the cases where the disease is actually present. Gestational diabetes affects 7 percent of the population in our patient’s age group, and that our test...
2. Suppose next that we have even less knowledge of our patient, and we are only...
2. Suppose next that we have even less knowledge of our patient, and we are only given the accuracy of the blood test and prevalence of the disease in our population. We are told that the blood test is 99 percent reliable, this means that the test will yield an accurate positive result in 9 of the cases where the disease is actually present. Gestational diabetes affects #.1 percent of the population in our patient's age group, and that our...
A screening test for a rare form of TB has a 7% false positive rate (i.e. indicates the presence of the disease in people who do not have it). The test has an 8% false negative rate (i.e. indicates th...
A screening test for a rare form of TB has a 7% false positive rate (i.e. indicates the presence of the disease in people who do not have it). The test has an 8% false negative rate (i.e. indicates the absence of the disease in people who do have it). In a population of which 0.6% have the disease, what is the probability that someone who tests positive has the disease?
RBV testing Suppose that 1% of all people are infected with the rare banana virus (RBV). There is a test to detect the RBV: if you do have the RBV, then the test will correctly detect this 99% of the time; if you do not have RBV, then the test will correctly indicate this 97% of the time. We assume that if the RBV test is given repeatedly to the same person, then the test results are independent of cach...
2. Suppose next that we have even less knowledge of our patient, and we are only given the accuracy of the blood test and prevalence of the disease in our population. We are told that the blood test is 99 percent reliable, this means that the test will yield an accurate positive result in 9 of the cases where the disease is actually present. Gestational diabetes affects #.1 percent of the population in our patient's age group, and that our...
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