5% of the test population are known to have cancer. The probability of a positive diagnostic...
5% of the test population are known to have cancer. The probability of a positive diagnostic test if the person has cancer is 0.8. In turn, the probability that the diagnostic test will be negative if the person does not have cancer is 0.90. Draw a tree diagram, including all the probabilities with their notation. What is the probability that the test is positive? What is the probability if the test is positive and the person is ill?
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5% of the test population are known to have cancer. The
probability of a positive diagnostic...
Need to show work 3. The occurrence of a certain cancer in the general population is...
Need to show work
3. The occurrence of a certain cancer in the general population is 1 in 5,000. A diagnostic test for this cancer exists. If a patient has the cancer, the test is positive 95% of the time. If the patient does not have cancer, the test is negative 98% of the time. (a) Construct a tree diagram. Write probabilities on the branches for each of the two stages. Let the first stage consist of two events: Cancer,...
To prevent developing a certain type of cancer, Health Canada organize a diagnostic test. The false...
To prevent developing a certain type of cancer, Health Canada organize a diagnostic test. The false positive and negative rates for this diagnostic test are five percent and four percent, respectively. Assume that five percent of the population has this type of cancer. If a randomly selected person has a positive test result, what is the probability that the person has this type of cancer The test is administrated twice on the same patient. Assume that the test results are...
To prevent developing a certain type of cancer, Health Canada organize a diagnostic test. The false...
To prevent developing a certain type of cancer, Health Canada organize a diagnostic test. The false positive and negative rates for this diagnostic test are five percent and four percent, respectively. Assume that five percent of the population has this type of cancer. 1. If a randomly selected person has a positive test result, what is the probability that the person has this type of cancer? 2. The test is administrated twice on the same patient. Assume that the test...
In a certain population, the sensitivity of a diagnostic test is 0.80, and the specificity is...
In a certain population, the sensitivity of a diagnostic test is 0.80, and the specificity is 0.90. The prevalence of the disease in the population is 0.10. Use this information to answer Ques- tions 11 to 13. 11. What is the probability of testing negative? (a) 0.17 (b) 0.20 (c) 0.47 (d) • 0.83 12. Among those who have the disease of interest, what is the probability that they test negative? (a) 0.10 (b) • 0.20 (c) 0.47 (d) 0.83...
A sports club tests its players for steroid usage with a test that gives a positive...
A sports club tests its players for steroid usage with a test that gives a positive reading 93% of the time when administered to a steroid user and gives a negative reading 96% of the time when administered to a player who does not to use steroids. It is known that 8% of the players are steroid users. a. Draw a probability tree diagram for the given problem showing all probabilities. b. What is the probability that a player does...
Diagnostic tests of medical conditions can have several types of results. The test result can be ...
Diagnostic tests of medical conditions can have several types of results. The test result can be positive or negative, whether or not a patient has the condition. A positive test (+) indicates that the patient has the condition. A negative test (-) indicates that the patient does not have the condition. Remember, a positive test does not prove the patient has the condition. Additional medical work may be required. Consider a random sample of 200 patients, some of whom have...
Need details please. Thanks for helping me out ! positive result give that a person 14.A diagnostic test has a probabil...
Need details please. Thanks for helping me out !
positive result give that a person 14.A diagnostic test has a probability of 0.90 of giving a suffering from a certain disease, and a probability of 0.15 of give a (false) positive give that the patient is a non-sufferer. It is estimated that 1% of the population are sufferers of this particular disease. Suppose that the test is now administered to a person about whom we have no relevant information relating...
-125 points Diagnostic tests of medical conditions can have several types of results. The test result...
-125 points Diagnostic tests of medical conditions can have several types of results. The test result can be positive or negative, whether or not a patient has the condition. A positive test (+) indicates that the patient has the condition. A negative test (-) indicates that the patient does not have the condition Remember, a positive test does not prove the patient has the condition Additional medical work may be required. Consider a random sample of 200 patients, some of...
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?
To prevent developing a certain type of cancer, Health Canada organize a di- agnostic test. The...
To prevent developing a certain type of cancer, Health Canada
organize a di- agnostic test. The false positive and negative rates
for this diagnostic test are five percent and four percent,
respectively. Assume that five percent of the population has this
type of cancer.
1. If a randomly selected person has a positive test result,
what is the prob- ability that the person has this type of
cancer?
2. The test is administrated twice on the same patient. Assume
that...
Need to show work
3. The occurrence of a certain cancer in the general population is 1 in 5,000. A diagnostic test for this cancer exists. If a patient has the cancer, the test is positive 95% of the time. If the patient does not have cancer, the test is negative 98% of the time. (a) Construct a tree diagram. Write probabilities on the branches for each of the two stages. Let the first stage consist of two events: Cancer,...
Diagnostic tests of medical conditions can have several types of results. The test result can be positive or negative, whether or not a patient has the condition. A positive test (+) indicates that the patient has the condition. A negative test (-) indicates that the patient does not have the condition. Remember, a positive test does not prove the patient has the condition. Additional medical work may be required. Consider a random sample of 200 patients, some of whom have...
Need details please. Thanks for helping me out !
positive result give that a person 14.A diagnostic test has a probability of 0.90 of giving a suffering from a certain disease, and a probability of 0.15 of give a (false) positive give that the patient is a non-sufferer. It is estimated that 1% of the population are sufferers of this particular disease. Suppose that the test is now administered to a person about whom we have no relevant information relating...
-125 points Diagnostic tests of medical conditions can have several types of results. The test result can be positive or negative, whether or not a patient has the condition. A positive test (+) indicates that the patient has the condition. A negative test (-) indicates that the patient does not have the condition Remember, a positive test does not prove the patient has the condition Additional medical work may be required. Consider a random sample of 200 patients, some of...
To prevent developing a certain type of cancer, Health Canada
organize a di- agnostic test. The false positive and negative rates
for this diagnostic test are five percent and four percent,
respectively. Assume that five percent of the population has this
type of cancer.
1. If a randomly selected person has a positive test result,
what is the prob- ability that the person has this type of
cancer?
2. The test is administrated twice on the same patient. Assume
that...
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