suppose that 0.8% of male professional golfers use steroids, and that Max is a male professional...
suppose that 0.8% of male professional golfers use steroids, and that Max is a male professional golfer who has been randomly selected to take a drug test. The test he has been asked to take has a false positive rate of 1% and a false negative rate of 10%.
Use Bayes’ rule to calculate the probability that Max actually uses steroids if he tests positive for steroid use. Give your answer as a decimal precise to three decimal places.
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suppose that 0.8% of male professional golfers use steroids, and
that Max is a male professional...
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....
A steroid detection test is 93% effective at detecting steroid use, meaning that the probability of...
A steroid detection test is 93% effective at detecting steroid use, meaning that the probability of a user testing positive is 0.93. Unfortunately, it has a false positive rate of 9%, meaning the the probability of of a nonuser testing positive is 0.09. A large university estimates that about 12% of its athletes use steroids. The universitys quarterback tests positive for steroids, yet he claims he does not use them. What are the chances that he is telling the truth?
4.28 Failing to detect drug use. In Example 4.15, we considered how drug tests can indicate...
4.28 Failing to detect drug use. In Example 4.15, we considered how drug tests can indicate illegal drug use when no illegal drugs were actually used. Consider now another type of false test result. Suppose an employee is suspected of hav- ing used an illegal drug and is given two tests that operate independently of each other. Test A has probability 0.9 of being positive if the illegal drug has been used. Test B has probability 0.8 of being 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....
Case Study #11 on long-term Steroid Use Name R.T. is a 62 year old male with...
Case Study #11 on long-term Steroid Use Name R.T. is a 62 year old male with a history of severe asthma starting when he was 7 years old. Over the years, he has repeatedly been treated with aminophylline and courses of oral steroids for acute exacerbations of asthma. Frequent courses of steroids as a child, he stated, caused his growth to be stunted and he is only 61" tall. Although steroids can decrease the airway inflammation produced by asthma, R.T....
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...
Giving a test to a group of students, the grades and gender are summarized below A...
Giving a test to a group of students, the grades and gender are summarized below A B C Total Male 10 14 18 42 Female 19 11 15 45 Total 29 25 33 87 If one student is chosen at random, Find the probability that the student was female AND got a "A". Question 8 . 1 pts A certain disease has an incidence rate of 0.8%. If the false negative rate is 8% and the false positive rate is...
1. Suppose you roll a special 19-sided die. What is the probability that the number rolled...
1. Suppose you roll a special 19-sided die. What is the probability that the number rolled is a "1" OR a "2"? Round to 3 decimal places. 2. A test was given to a group of students. The grades and gender are summarized below A B C Total Male 7 10 2 19 Female 8 5 15 28 Total 15 15 17 47 If one student is chosen at random from those who took the test, Find the probability that...
it is estimated that 40% of all sharks have a particular disease. Suppose a test for...
it is estimated that 40% of all sharks have a particular disease. Suppose a test for the disease has been developed - it has a false positive rate of 10% and a false negative rate of 5%. i) calculate the probability that a randomly selected shark will test positive for the disease. ii) if a shark tests positive for the disease, what is the probability that the shark actually has the disease?
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...
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....
Case Study #11 on long-term Steroid Use Name R.T. is a 62 year old male with a history of severe asthma starting when he was 7 years old. Over the years, he has repeatedly been treated with aminophylline and courses of oral steroids for acute exacerbations of asthma. Frequent courses of steroids as a child, he stated, caused his growth to be stunted and he is only 61" tall. Although steroids can decrease the airway inflammation produced by asthma, R.T....
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...
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