A test for a disease gives a correct positive result with a
probability of 0.95 when the disease is present but gives an
incorrect positive result (false positive) with a probability of
0.15 when the disease is not present. If 5% of the population has
the disease, and Jean tests positive to the test, what is the
probability Jean really has the disease?
71.
Use the table below to find the
probability.
Positive Test Result
Negative Test Result
Subject Uses Drugs
44
(True Positive)
6
(False Negative)
Subject is Not a Drug User
90
(False Positive)
860
(True Negative)
A. If 2 of the 1000 test subjects are randomly selected,
find the probability that both had false positive results. Assume
that the 2 selections are made without replacement. (Round
to 4 decimals)
B.
If 3 of the 1000 test subjects are randomly selected,...
Somebody speculates that a person will test COVID 19 positive
with probability 0.2. Then for finding the probability for exactly
100 patients testing positive in a sample of 400 patients, how do
you do continuity correction? In the above question, what is the
required probability using normal approximation to binomial? What
is the probability that at least 70 patients test COVID 19
positive?
7. Which of the following is true when finding the probability
based on – sampling distribution?
A. Normality is given by BOTH the population
being normal and n ≥ 30
B. Normality is given by BOTH np ≥ 5
and nq ≥ 5.
C. We have to either add or subtract .5 to the x-value to make
our answer more accurate.
D. To find the standard error of the mean we take the population
standard deviation and divide by the...
The sensitivity of a diagnostic test is the probability that a
true positive (e.g. someone with the disease under question) is
correctly identified as such. The specificity, on the other hand,
is the probability that a true negative (e.g. a healthy person) is
not reported as a positive. You have a COVID-19 antibody test with
specificity α and sensitivity β. There are N people in a particular
population, and suppose we already know that n of them have the
disease....
A diagnostic test has a probability of 92% of giving a positive
result when applied to a person suffering from a certain disease.
The test has a probability of 5% of giving a false positive when
applied to a non-sufferer. If 6% of the population suffer from the
disease, what is the probability of a positive test result?
A diagnostic test has a probability 0.95 of giving a positive
result when applied to a
person suffering from a certain disease, and a probability 0.10
of giving a (false) pos-
itive when applied to a non-sufferer. It is estimated that 0.5%
of the population are
sufferers. Suppose that the test is now administered to a person
about whom we have
no relevant information relating to the disease (apart from the
fact that he/she comes
from this population). Calculate the...
The probability of getting a false-positive result for a single
person, was 0.3%.
What would be the new approximate percentage probability of
getting at least one false-positive result, if
650 people had been tested, instead of 550?
What would be the new approximate percentage probability of
getting at least one false-positive result, if 550 people
are still tested, but the probability of getting a false-positive
result for a single person was 0.4% instead of 0.3% ?
A diagnostic test has a 95% probability of giving a positive
result when given to a person who has a certain disease. It has a
10% probability of giving a (false) positive result when given to a
person who doesn’t have the disease. It is estimated that 15% of
the population suffers from this disease.
(a) What is the probability that a test result is positive?
(b) A person recieves a positive test result. What is the
probability that this...
What is true of rent-seeking activities?
a.
They never have a positive result for the firm.
b.
They require no additional spending.
c.
They raise the cost of doing business.
d.
They decrease the costs of the firm.
What will happen based on the higher the price set by a
monopolist and the longer it is maintained?
a.
The level of costs will decrease.
b.
Fewer firms will use rent seeking activities.
c.
The sale of the firm will drop....