Question

Suppose a drug test is 93% sensitive and 89% specific. That is, the test will produce 93% true positive results for drug users and 89% true negative results for non-drug users. Suppose that 4.5% of people are users of the drug. If a randomly selected individual tests positive, what is the probability he or she is a user?

Answer #1

A company administers a drug test to its job applicants as a
condition of employment; if a person fails the drug test the
company will not hire them.
Suppose the drug test is 77% sensitive and 75% specific. That
is, the test will produce 77% true positive results for drug users
and 75% true negative results for non-drug users. Suppose that 9%
of potential hires are use drugs. If a randomly selected job
applicant tests positive, what is the probability...

Suppose we assume that 5% of people are drug users. If a person
is a drug user, the result of the test is positive 95% of the time,
and if the person is not a drug user, the result is negative 90% of
the time. A person is randomly selected. What is the probability
that he tests positive for drugs?

5. A company is having random drug tests in the workplace. The
lab-test the company is using produces false negatives 2% of the
time and false positives 5% of the time. Assume that 10% of the
employees at this company use drugs. a. If an employee tests
positive for drug use, what is the probability that he/she does not
use drugs? Show your work. b. What is the probability a drug user
tests negative twice in a row? Show/explain your...

5. A company is having random drug tests in the workplace. The
lab-test the company is using produces false negatives 2% of the
time and false positives 5% of the time. Assume that 10% of the
employees at this company use drugs. a. If an employee tests
positive for drug use, what is the probability that he/she does not
use drugs? Show your work. [2 points] b. What is the probability a
drug user tests negative twice in a row?...

The RDT SARS-COV-2 test has 93.8 sensitivity (the probability of
a true positive result) and 95.6% specificity (the probability of a
true negative result) . Suppose that 10% of population is infected
with SARS-COV-2. If a randomly selected individual tests positive,
what is the probability he or she is infected?

QUESTION 5
Imagine a test that's 100% sensitive and 80% specific and it's
testing for something that has a 5% chance of occurring. What's the
chance that a test result will come back positive (remember, there
are two ways to get a positive result: a true positive and a false
positive). Express your answer as a value between 0 and 1 to two
decimal places.
QUESTION 6
Suppose you're hiring a new worker for your business. You'd like
someone reliable....

Suppose 1% of a given population have a certain genetic defect.
For a new gene test, it gives a positive result with 90%
probability when an individual does have the genetic defect, and it
gives a positive result with 9.6% probability when an individual
does NOT have the genetic defect.
a. If a person gets a positive
test result, what is the probability that he/she actually has the
genetic defect?
If a person gets a negative test result, what is...

Mammograms are a relatively inexpensive and nonintrusive way to
test for breast cancer. Suppose that mammogram screenings are 93%
specific and 87% sensitive. This means that those without breast
cancer test negative 93% of the time and those with breast cancer
test positive 87% of the time. Answer the following questions as if
12.6% of all women have breast cancer.
a) Given that a women tests negative, what is the probability
that she has breast cancer?
(b) Given that a...

Suppose that a drug test has a 0.91 probability of succesfully
identifying a drug user, but has a 0.06 probability of reporting a
false positive. A company drug tests it's employees and 13% of them
test positive for drug use.
Let T denote "tests positive for drug use" and D denote "drug
user."
The probability 0.91 above refers to P(T|D)
The probability 0.06 above refers to P(T|D^c)
The percentage 13% above refers to P(T)
What is the probability a random...

The data represent the results for a test for a certain disease.
Assume one individual from the group is randomly selected. Find the
probability of getting someone who tests positive, given that he
or she had the disease.
The individual actually had the disease
Yes No
Positive 129 7
Negative 31 133
The probability is approximately _? (Round to three decimal
places as needed.)

ADVERTISEMENT

Get Answers For Free

Most questions answered within 1 hours.

ADVERTISEMENT

asked 10 minutes ago

asked 11 minutes ago

asked 22 minutes ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago