A test for certain disease has an accuracy of 98% and its false positive is 1%....
A test for certain disease has an accuracy of 98% and its false positive is 1%. Assumed that 0.1% of the population carries the disease. If a person test positive, what is the probability that the person is not a disease carrier? Define every event; write the formula before substitute values.
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A test for certain disease has an accuracy of 98% and its false
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2. A test for certain disease has an accuracy of 99% and its false positive is...
2. A test for certain disease has an accuracy of 99% and its false positive is 2%. Assumed that 0.05% of the population carries the disease. If a person test positive, what is the probability that the person a disease carrier? Define every event; write the formula before substitute values. (10 points)
2. A rare disease affects 1% of the population. A test has a sensitivity of 98%,...
2. A rare disease affects 1% of the population. A test has a sensitivity of 98%, i.e., it will give a positive result 98% of the time that a person actually has the disease. The same test also has a specificity of 95%, i.e., it will give a negative result 95% of the time when a person does not have the disease. Denote the event that a randomly person has a disease by D, and the event that a randomly...
9) Suppose that a laboratory test to detect a certain disease has the following statistics. Let...
9) Suppose that a laboratory test to detect a certain disease has the following statistics. Let A- event that the tested person has the disease B-event that the test result is positive It is known that P(BIA) 0.99 and P(BIA) 0.005 and 0.1% of the population actually has the disease, what is the probability that a person has the disease given that the test result is positive?
3) A certain blood test for a disease gives a positive result 90% of the time...
3) A certain blood test for a disease gives a positive result 90% of the time among patients having the disease. It also gives a positive result 25% of the time among people who do not have the disease. It is believed that 30% of the population has this disease a) What is the probability that a person with a positive test result indeed has the disease? b) What is the probability that the blood test gives a negative result?...
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...
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...
A disease affects 16% of the population. There is a test (not perfect) that detects disease...
A disease affects 16% of the population. There is a test (not perfect) that detects disease with a probability of 98% (i.e comes back positive when the person has the disease). However, the test produces 5% false positives, i.e comes back positive even though the person does not have the disease. i) A person who has the disease is tested, what is the probability that the test will come back negative. ii) What is the probability that a randomly selected...
A vaccine has a 98% probability of being effective in preventing a certain disease. The probability...
A vaccine has a 98% probability of being effective in preventing a certain disease. The probability of getting the disease if the person is not vaccinated is 70%. Fifty percent of the total population gets vaccinated. If a person is selected at random, what is the probability that he/she will contract the disease?
Question 10: (10 marks) blood test is 95 percent effective in detecting a certain disease when it is, in fact, also...
Question 10: (10 marks) blood test is 95 percent effective in detecting a certain disease when it is, in fact, also yields a "false positive" result for 10 percent of the healthy persons A laboratory present. However, the test tested. (That is, if a healthy person is tested, then, with probability 0.10, the test result will imply he or she has the disease.) If 0.7 percent of the population actually has the disease, what is the probability a person has...
Problem 1 [Sans R (a). Say a test can detect a disease with a type I...
Problem 1 [Sans R (a). Say a test can detect a disease with a type I error rate (false positive) of 10 % and a type II error rate (missed positive) of 0.1 %. If a person is randomly chosen from the population, the chance of having this disease is 0.1 %. If a random person is chosen from the population and tests positive for this disease, what is the probability they have this disease? (b). Say a test can...
2. A test for certain disease has an accuracy of 99% and its false positive is 2%. Assumed that 0.05% of the population carries the disease. If a person test positive, what is the probability that the person a disease carrier? Define every event; write the formula before substitute values. (10 points)
2. A rare disease affects 1% of the population. A test has a sensitivity of 98%, i.e., it will give a positive result 98% of the time that a person actually has the disease. The same test also has a specificity of 95%, i.e., it will give a negative result 95% of the time when a person does not have the disease. Denote the event that a randomly person has a disease by D, and the event that a randomly...
9) Suppose that a laboratory test to detect a certain disease has the following statistics. Let A- event that the tested person has the disease B-event that the test result is positive It is known that P(BIA) 0.99 and P(BIA) 0.005 and 0.1% of the population actually has the disease, what is the probability that a person has the disease given that the test result is positive?
3) A certain blood test for a disease gives a positive result 90% of the time among patients having the disease. It also gives a positive result 25% of the time among people who do not have the disease. It is believed that 30% of the population has this disease a) What is the probability that a person with a positive test result indeed has the disease? b) What is the probability that the blood test gives a negative result?...
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...
Question 10: (10 marks) blood test is 95 percent effective in detecting a certain disease when it is, in fact, also yields a "false positive" result for 10 percent of the healthy persons A laboratory present. However, the test tested. (That is, if a healthy person is tested, then, with probability 0.10, the test result will imply he or she has the disease.) If 0.7 percent of the population actually has the disease, what is the probability a person has...
Problem 1 [Sans R (a). Say a test can detect a disease with a type I error rate (false positive) of 10 % and a type II error rate (missed positive) of 0.1 %. If a person is randomly chosen from the population, the chance of having this disease is 0.1 %. If a random person is chosen from the population and tests positive for this disease, what is the probability they have this disease? (b). Say a test can...
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