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Recently, a drug company developed a new test for the flu. The table below shows the...
A new test is developed for detecting the presence of steroids in athlete urine samples. The...
A new test is developed for detecting the presence of steroids in athlete urine samples. The test could produce false negative results 5% of the time. It could also produce false positive results 10% of the time. Based on past evidence, it is believed that 2% of the athletes do use steroids. This test is administered to an athlete, and his test result is positive for steroids. What is the probability that this athlete actually used steroids? Show your work....
Suppose that swine flu (for the purposes of this exercise) affects 1 in 10,000 people in...
Suppose that swine flu (for the purposes of this exercise) affects 1 in 10,000 people in the U.S. The test is known to have a false positive rate of 0.01 -- that is, 1% of all positive tests are actually negative. The probability of a false negative is zero – that is, 100% of all negative tests are truly negative. You test positive. What is the probability that you actually have the swine flu? Hint: Define the event ? as...
The Methodical Pharmaceutical Company is trying to a new product that is supposed to detect a...
The Methodical Pharmaceutical Company is trying to a new product that is supposed to detect a certain substance that is banned in athletic competition. Among 83 subjects with positive tests results there were 6 false positives (indicating that they had used the banned substance when they in fact had not); among 57 subjects with negative tests results, there were 2 false negative results (indicating they had not used the banned substance when in fact they had). How many subjects are...
In a laboratory, blood test is 95% effective in detecting a certain disease, when it is,...
In a laboratory, blood test is 95% effective in detecting a certain disease, when it is, in fact, present. However, the test also yields a false positive (test is positive but patient does not have the disease) result for 1% of the healthy people tested. 0.5% of the population actually has the disease. Given this information, calculate the following probabilities: The probability that the test is positive. Given a negative result, the probability that the person does not have the...
1) The table below classifies 555 subjects by drug use and drug test result. Subject Uses...
1) The table below classifies 555 subjects by drug use and drug test result. Subject Uses Drugs Positive Test Result (Test shows drug use.) 45 (True Positive) 25 (False Positive) Negative Test Result (Test shows no drug use.) 5 (False Negative 480 (True Negative) Subject Does Not Use Drugs a) If a subject is selected at random, find the probability this person uses drugs given that the test result is negative. (a) Express this statement in probability notation. (b) Find...
1) The table below classifies 555 subjects by drug use and drug test result. Subject Uses...
1) The table below classifies 555 subjects by drug use and drug test result. Subject Uses Drugs Positive Test Result (Test shows drug use.) 45 (True Positive) 25 (False Positive) Negative Test Result (Test shows no drug use.) 5 (False Negative 480 (True Negative) Subject Does Not Use Drugs a) If a subject is selected at random, find the probability this person uses drugs given that the test result is negative. (a) Express this statement in probability notation. (b) Find...
Refer to the table which summarizes the results of testing for a certain disease Positive Test...
Refer to the table which summarizes the results of testing for a certain disease Positive Test Negative Result Test Result 89 28 Subject has the disease Subject does not have the disease 158 If one of the results is randomly selected, what is the probability that it is a false positive (test indicates the person has the disease when in fact they don't)? Round the probability to three decimal places. What does this probability suggest about the accuracy of the...
A supreme court from a certain region recently ruled that employees can be tested for drugs...
A supreme court from a certain region recently ruled that employees can be tested for drugs only if management has reasonable cause to administer the test. An article in a certain magazine focused on the misclassification rates of such drug tests. A false positive occurs when a drug test administered to a non-drug user yields a positive result. A false negative occurs when a drug test administered to a drug user yields a negative result. Complete parts a and b...
15. Use the following results from a test for marijuana use, which is provided by a...
15. Use the following results from a test for marijuana use, which is provided by a certain drug testing company. Among 142 subjects with positive test results, there are 28 false positive results; among 150 negative results, there are 3 false negative results. If one of the test subjects is randomly selected, find the probability of a false positive or false negative. (Hint: Construct a table.) What does the result suggest about thetest's accuracy? The probability of a false positive...
A supreme court from a certain region recently ruled that employees can be tested for drugs...
A supreme court from a certain region recently ruled that employees can be tested for drugs only if management has reasonable cause to administer the test. An article in a certain magazine focused on the misclassification rates of such drug tests. A false positive occurs when a drug test administered to a non-drug user yields a positive result. A false negative cours when a drug test administered to a drug user yields a negative result Complete parts a and b....
The Methodical Pharmaceutical Company is trying to a new product that is supposed to detect a certain substance that is banned in athletic competition. Among 83 subjects with positive tests results there were 6 false positives (indicating that they had used the banned substance when they in fact had not); among 57 subjects with negative tests results, there were 2 false negative results (indicating they had not used the banned substance when in fact they had). How many subjects are...
1) The table below classifies 555 subjects by drug use and drug test result. Subject Uses Drugs Positive Test Result (Test shows drug use.) 45 (True Positive) 25 (False Positive) Negative Test Result (Test shows no drug use.) 5 (False Negative 480 (True Negative) Subject Does Not Use Drugs a) If a subject is selected at random, find the probability this person uses drugs given that the test result is negative. (a) Express this statement in probability notation. (b) Find...
1) The table below classifies 555 subjects by drug use and drug test result. Subject Uses Drugs Positive Test Result (Test shows drug use.) 45 (True Positive) 25 (False Positive) Negative Test Result (Test shows no drug use.) 5 (False Negative 480 (True Negative) Subject Does Not Use Drugs a) If a subject is selected at random, find the probability this person uses drugs given that the test result is negative. (a) Express this statement in probability notation. (b) Find...
Refer to the table which summarizes the results of testing for a certain disease Positive Test Negative Result Test Result 89 28 Subject has the disease Subject does not have the disease 158 If one of the results is randomly selected, what is the probability that it is a false positive (test indicates the person has the disease when in fact they don't)? Round the probability to three decimal places. What does this probability suggest about the accuracy of the...
A supreme court from a certain region recently ruled that employees can be tested for drugs only if management has reasonable cause to administer the test. An article in a certain magazine focused on the misclassification rates of such drug tests. A false positive occurs when a drug test administered to a non-drug user yields a positive result. A false negative occurs when a drug test administered to a drug user yields a negative result. Complete parts a and b...
A supreme court from a certain region recently ruled that employees can be tested for drugs only if management has reasonable cause to administer the test. An article in a certain magazine focused on the misclassification rates of such drug tests. A false positive occurs when a drug test administered to a non-drug user yields a positive result. A false negative cours when a drug test administered to a drug user yields a negative result Complete parts a and b....
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