6:44 Outlook 1 of 3 Probability Lab Marshall University STA 150L Conditional Probability Lab - Applied Problem The Human Immunodeficiency Virus (HIV) causes AIDS. A person who has been infected with HIV is described as HIV positive; a person who has not been infected is HIV negative. One commonly used test of HIV is a enzyme immunoassay test. According to Wikipedia, The specificity rate given here for the inexpensive enzyme immunoassay screening tests indicates that, in 1,000 HIV test results of healthy individuals, about 15 of these results will be a false positive. ... The sensitivity rating, likewise, indicates that, in 1,000 test results of HIV infected people, 3 will actually be a false negative result According to the Centers for Disease Control (CDC) 2 approximately 1.1 million citizens of the U.S. were HIV positive in 2016. The U.S. population in 2016 was about 323 million. 1. Estimate the percentage of the U.S. citizens in 2016 who were HIV positive, based on the data above. We will treat this as the probability that a randomly selected U.S. citizen is HIV positive. 2. What is the probability that an HIV positive individual will test negative under the enzyme immunoassay test described by the quote above? 3. What is the probability that an HIV negative individual will test positive under the enzyme immunoassay test described by the quote above? 4. Use your answers to the previous parts to fill in the following table. Assume that we begin with a population of 1,000,000 randomly selected U.S. citizens. Fill in the row totals first and then fill in each row. Test positive Test negative Row total HIV positive HIV negative Column total 1,000,000 http://en.wikipedia.org/wiki/Diagnosis_of_HIV/AIDS. Their data is based on Chou R, Huffman LH, Fu R, Smits AK, Korthuis PT (July 2005). "Screening for HIV: a review of the evidence for the U.S. Preventive Services Task Force". Ann. Intern. Med. 143 (1): 55-73, https://annals.org/aim/fullarticle/718529/ screening-hiv-review-evidence-u-s-preventive-services-task-force. 2 AIDS.gov: U.S. Statistics, http://www.aids.gov/hiv-aids-basics/hiv-aids-101/statistics/ 1 Conditional Probability Lab Marshall University STA 150L 5. Based on our table, what is the probability that a randomly selected person who tests negative under the enzyme immunoassay test is HIV positive? Note: this is a conditional probability. 6. Based on our table, what is the probability that a randomly selected person who tests positive under the enzyme immunoassay test is HIV positive? Note: this is a conditional probability. coursehero.com
6:44 Outlook 1 of 3 Probability Lab Marshall University STA 150L Conditional Probability Lab - Applied Problem The Human Immunodeficiency Virus (HIV) causes AIDS. A person who has been infected with HIV is described as HIV positive; a person who has not been infected is HIV negative. One commonly used test of HIV is a enzyme immunoassay test. According to Wikipedia, The specificity rate given here for the inexpensive enzyme immunoassay screening tests indicates that, in 1,000 HIV test results of healthy individuals, about 15 of these results will be a false positive. ... The sensitivity rating, likewise, indicates that, in 1,000 test results of HIV infected people, 3 will actually be a false negative result According to the Centers for Disease Control (CDC) 2 approximately 1.1 million citizens of the U.S. were HIV positive in 2016. The U.S. population in 2016 was about 323 million. 1. Estimate the percentage of the U.S. citizens in 2016 who were HIV positive, based on the data above. We will treat this as the probability that a randomly selected U.S. citizen is HIV positive. 2. What is the probability that an HIV positive individual will test negative under the enzyme immunoassay test described by the quote above? 3. What is the probability that an HIV negative individual will test positive under the enzyme immunoassay test described by the quote above? 4. Use your answers to the previous parts to fill in the following table. Assume that we begin with a population of 1,000,000 randomly selected U.S. citizens. Fill in the row totals first and then fill in each row. Test positive Test negative Row total HIV positive HIV negative Column total 1,000,000 http://en.wikipedia.org/wiki/Diagnosis_of_HIV/AIDS. Their data is based on Chou R, Huffman LH, Fu R, Smits AK, Korthuis PT (July 2005). "Screening for HIV: a review of the evidence for the U.S. Preventive Services Task Force". Ann. Intern. Med. 143 (1): 55-73, https://annals.org/aim/fullarticle/718529/ screening-hiv-review-evidence-u-s-preventive-services-task-force. 2 AIDS.gov: U.S. Statistics, http://www.aids.gov/hiv-aids-basics/hiv-aids-101/statistics/ 1 Conditional Probability Lab Marshall University STA 150L 5. Based on our table, what is the probability that a randomly selected person who tests negative under the enzyme immunoassay test is HIV positive? Note: this is a conditional probability. 6. Based on our table, what is the probability that a randomly selected person who tests positive under the enzyme immunoassay test is HIV positive? Note: this is a conditional probability. coursehero.com
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
Related questions
Question
Transcribed Image Text:6:44
Outlook
1 of 3
Probability Lab
Marshall University STA 150L
Conditional Probability Lab - Applied Problem
The Human Immunodeficiency Virus (HIV) causes AIDS. A person who has been infected with
HIV is described as HIV positive; a person who has not been infected is HIV negative.
One commonly used test of HIV is a enzyme immunoassay test. According to Wikipedia,
The specificity rate given here for the inexpensive enzyme immunoassay screening tests
indicates that, in 1,000 HIV test results of healthy individuals, about 15 of these results
will be a false positive. ... The sensitivity rating, likewise, indicates that, in 1,000 test
results of HIV infected people, 3 will actually be a false negative result
According to the Centers for Disease Control (CDC) 2 approximately 1.1 million citizens of the
U.S. were HIV positive in 2016. The U.S. population in 2016 was about 323 million.
1. Estimate the percentage of the U.S. citizens in 2016 who were HIV positive, based on the
data above. We will treat this as the probability that a randomly selected U.S. citizen is HIV
positive.
2. What is the probability that an HIV positive individual will test negative under the enzyme
immunoassay test described by the quote above?
3. What is the probability that an HIV negative individual will test positive under the enzyme
immunoassay test described by the quote above?
4. Use your answers to the previous parts to fill in the following table. Assume that we begin
with a population of 1,000,000 randomly selected U.S. citizens. Fill in the row totals first and
then fill in each row.
Test positive
Test negative
Row total
HIV positive
HIV negative
Column total
1,000,000
http://en.wikipedia.org/wiki/Diagnosis_of_HIV/AIDS. Their data is based on Chou R, Huffman LH,
Fu R, Smits AK, Korthuis PT (July 2005). "Screening for HIV: a review of the evidence for the U.S. Preventive
Services Task Force". Ann. Intern. Med. 143 (1): 55-73, https://annals.org/aim/fullarticle/718529/
screening-hiv-review-evidence-u-s-preventive-services-task-force.
2 AIDS.gov: U.S. Statistics, http://www.aids.gov/hiv-aids-basics/hiv-aids-101/statistics/
1
Conditional Probability Lab
Marshall University STA 150L
5. Based on our table, what is the probability that a randomly selected person who tests negative
under the enzyme immunoassay test is HIV positive? Note: this is a conditional probability.
6. Based on our table, what is the probability that a randomly selected person who tests positive
under the enzyme immunoassay test is HIV positive? Note: this is a conditional probability.
coursehero.com
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
This is a popular solution!
Trending now
This is a popular solution!
Step by step
Solved in 2 steps
Recommended textbooks for you
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON
The Basic Practice of Statistics
Statistics
ISBN:
9781319042578
Author:
David S. Moore, William I. Notz, Michael A. Fligner
Publisher:
W. H. Freeman
Introduction to the Practice of Statistics
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman