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Question 3 (1 point) Your doctor wants you to test for a disease that affects 0.1%...
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...
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...
The table below shows the predicted testing outcome for a disease that affects 2% of a...
The table below shows the predicted testing outcome for a disease that affects 2% of a population, and has 90% accuracy rate. Positive Test Negative Test Total Has Disease 18 2 20 Does Not Have Disease 98 882 980 Total 116 1000 884 Given you received a positive test, w he probability that you do not have the disease? Write your answer as a percentage, rounded to the nearest tenth of a percent.
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...
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...
I. You are just told by your doctor that you tested positive for a serious disease....
I. You are just told by your doctor that you tested positive for a serious disease. The test has 99% accuracy, which means that the probability of testing positive given that you have the disease is 0.99, and also that the probability of testing negative given that you do not have the disease is 0.99. The good news is that this is a rare disease, striking only 1 in 10,000 people. a (5 points) Why is it good news that...
Q5. [20pts+5] Sasha has been randomly selected to take a screening test for a rare disease...
Q5. [20pts+5] Sasha has been randomly selected to take a screening test for a rare disease that affects 1% of the population. The test is known to report false positive results 2% of the time (conditional on being healthy) and to report false negative results 5% of the time (conditional on being sick). Note: A positive result indicates that you have the disease, a negative result, that you are healthy a) Answer the following (You can draw a two-way table...
Question 24 4 pts The table below shows the predicted testing outcome for a disease that...
Question 24 4 pts The table below shows the predicted testing outcome for a disease that affects 2% of a population, and has 90% accuracy rate. Positive Test Negative Test Total Has Disease 18 2 20 Does Not Have Disease 98 882 980 Total 116 884 1000 Given you received a negative test, what is the probability that you have the disease? Write you answer as a percentage, rounded to the nearest tenth of a percent. 4 pts
You go to see the doctor. The doctor selects you at random to have a blood...
You go to see the doctor. The doctor selects you at random to have a blood test for swine flu, which for the purposes of this exercise we will say is currently suspected to affect 1 in 10,000. The test is 96% accurate, in the sense that the probability of a false positive is 4%. The probability of a false negative is zero. You test positive. What is the new probability that you have swine flu? (round to the nearest...
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.
The table below shows the predicted testing outcome for a disease that affects 2% of a population, and has 90% accuracy rate. Positive Test Negative Test Total Has Disease 18 2 20 Does Not Have Disease 98 882 980 Total 116 1000 884 Given you received a positive test, w he probability that you do not have the disease? Write your answer as a percentage, rounded to the nearest tenth of a percent.
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...
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...
I. You are just told by your doctor that you tested positive for a serious disease. The test has 99% accuracy, which means that the probability of testing positive given that you have the disease is 0.99, and also that the probability of testing negative given that you do not have the disease is 0.99. The good news is that this is a rare disease, striking only 1 in 10,000 people. a (5 points) Why is it good news that...
Q5. [20pts+5] Sasha has been randomly selected to take a screening test for a rare disease that affects 1% of the population. The test is known to report false positive results 2% of the time (conditional on being healthy) and to report false negative results 5% of the time (conditional on being sick). Note: A positive result indicates that you have the disease, a negative result, that you are healthy a) Answer the following (You can draw a two-way table...
Question 24 4 pts The table below shows the predicted testing outcome for a disease that affects 2% of a population, and has 90% accuracy rate. Positive Test Negative Test Total Has Disease 18 2 20 Does Not Have Disease 98 882 980 Total 116 884 1000 Given you received a negative test, what is the probability that you have the disease? Write you answer as a percentage, rounded to the nearest tenth of a percent. 4 pts
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