Question
In: Economics
A new, simple test has been developed to detect a particular type of cancer. The test...
A new, simple test has been developed to detect a particular type of cancer. The test must be evaluated before it is put into use. A medical researcher selects a random sample of
1,000
adults and finds (by other means) that
3%
have this type of cancer. Each of the
1,000
adults is given the test, and it is found that the test indicates cancer in
97%
of those who have it and in
2%
of those who do not. Based on these results, what is the probability of a randomly chosen person having cancer given that the test indicates cancer? Of a person having cancer given that the test does not indicate cancer?
Based on these results, what is the probability of a randomly chosen person having cancer given that the test indicates cancer?
Solutions
Rahul Sunny answered 1 year agoRelated Solutions
A certain test for a particular type of cancer is known to be 95% accurate. A...
A certain test for a particular type of cancer is known to be
95% accurate. A person takes the test and the results are positive.
Suppose the person comes from a population of 100,000 where 2000
people suffer from that disease.
What if the person takes a second test and result is still
positive, what can we conclude about his odds of having cancer?
A test is designed to detect cancer. If a person has cnacer, then the probability that...
A test is designed to detect cancer. If a person has cnacer,
then the probability that the test will detect it is .95; if the
person does not have cancer, the probability that the test will
erroneously indicate that he does have cancer is .1. Assume 15% of
the population who take the test have cancer. What is t he
probability that a person described by the test as not having
cancer really does have it?
A new drug has been developed to treat a particular condition, and it is alleged to...
A new drug has been developed to treat a particular condition,
and it is alleged to be more effective than traditional treatment.
An experiment will be conducted to test whether the claim is true.
To perform the hypothesis test, a 95% confidence level is selected
for the hypothesis test. The new drug will be administered to a
sample of 200 individuals with the condition, selected at random.
Another 300 individuals are randomly selected to receive the
traditional treatment.
Of the...
A new drug has been developed to treat a particular condition, and it is alleged to...
A new drug has been developed to treat a particular condition,
and it is alleged to be more effective than traditional treatment.
An experiment will be conducted to test whether the claim is true.
To perform the hypothesis test, a 99% confidence level is selected
for the hypothesis test. The new drug will be administered to a
sample of 200 individuals with the condition, selected at random.
Another 300 individuals are randomly selected to receive the
traditional treatment.
Of the...
A new drug has been developed to treat a particular condition, and it is alleged to...
A new drug has been developed to treat a particular condition,
and it is alleged to be more effective than traditional treatment.
An experiment will be conducted to test whether the claim is true.
To perform the hypothesis test, a 99% confidence level is selected
for the hypothesis test. The new drug will be administered to a
sample of 200 individuals with the condition, selected at random.
Another 300 individuals are randomly selected to receive the
traditional treatment.
Of the...
A new drug has been developed to treat a particular condition, and it is alleged to...
A new drug has been developed to treat a particular condition,
and it is alleged to be more effective than traditional treatment.
An experiment will be conducted to test whether the claim is true.
To perform the hypothesis test, a 95% confidence level is selected
for the hypothesis test. The new drug will be administered to a
sample of 200 individuals with the condition, selected at random.
Another 300 individuals are randomly selected to receive the
traditional treatment.
Of the...
A new drug has been developed to treat a particular condition, and it is alleged to...
A new drug has been developed to treat a particular condition,
and it is alleged to be more effective than traditional treatment.
An experiment will be conducted to test whether the claim is true.
To perform the hypothesis test, a 99% confidence level is selected
for the hypothesis test. The new drug will be administered to a
sample of 200 individuals with the condition, selected at random.
Another 300 individuals are randomly selected to receive the
traditional treatment.
Of the...
A new drug has been developed to treat a particular condition, and it is alleged to...
A new drug has been developed to treat a particular condition,
and it is alleged to be more effective than traditional treatment.
An experiment will be conducted to test whether the statement is
true. To perform a hypothesis test, a confidence level of 99% is
selected for the hypothesis test. The new drug was administered to
a sample of 200 individuals with the condition, selected at random,
another 300 individuals were selected to whom the traditional
treatment was administered. Of...
A new drug has been developed to treat a particular condition, and it is alleged to...
A new drug has been developed to treat a particular condition,
and it is alleged to be more effective than traditional treatment.
An experiment will be conducted to test whether the statement is
true. To perform the hypothesis test, a confidence level of 99% is
selected for the hypothesis test. The new drug will be administered
to a sample of 200 individuals with the condition, selected at
random. An additional 300 individuals will be randomly selected and
will be administer...
The Transportation Safety Authority (TSA) has developed a new test to detect large amounts of liquid...
The Transportation Safety Authority (TSA) has developed a new
test to detect large amounts of liquid in luggage bags. Based on
many test runs, the TSA determines that if a bag does contain large
amounts of liquid, there is a probability of 0.9 the test will
detect it. If a bag does not contain large amounts of liquid, there
is a 0.09 probability the test will conclude that it does (a false
positive). Suppose that in reality only 1 in...
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