Homework Help is Here – Start Your Trial Now!
Math
Statistics
a. What is the probability of having the disease given that you test positive? (4 Decimal places as a decimal or 2 decimal places as percentage) Final Answer b. What is the probability of having the disease given that you tested negative? (4 Decimal places as a decimal or 2 decimal places as percentage)

a. What is the probability of having the disease given that you test positive? (4 Decimal places as a decimal or 2 decimal places as percentage) Final Answer b. What is the probability of having the disease given that you tested negative? (4 Decimal places as a decimal or 2 decimal places as percentage)

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
See similar textbooks
icon
Related questions
Question
Suppose next that we have even less knowledge of our patient, and we are only given the accuracy of the blood test and prevalence of the disease in our population. We are told that the blood test is 90+U percent reliable, gestational diabetes affects U+1 percent of the population in our patient's age group, and that our test has a false positive rate of U+4 percent. Compute the following quantities based on this new information: (Assume population is 100,000) Part A: Fill out the table with the correct values. (2 decimals for percentages and whole numbers for totals table) Percentages Test Positive Test Negative (Disease) Total Affected by Blood Test Reliability False Positive Rate 6% 96% 8% Out of 100,000 Disease Present Disease Not Present (Test) Total Part B: Answer the following questions a. What is the probability of having the disease given that you test positive? (4 Decimal places as a decimal or 2 decimal places as percentage) Final Answer= b. What is the probability of having the disease given that you tested negative? (4 Decimal places as a decimal or 2 decimal places as percentage) Final Answer Part C: Investigate and comment on the following situations: 1. If the number of people affected by disease increased, what would happen to the false positive and false negative values? What kind of conclusion could someone draw about the effectiveness of the test from that? 2. If the false positive rate went down, would that effect the false negative rate? 3. If the population went down to 10,000; do the results look any different? Are they better or worse?
Transcribed Image Text:Suppose next that we have even less knowledge of our patient, and we are only given the accuracy of the blood test and prevalence of the disease in our population. We are told that the blood test is 90+U percent reliable, gestational diabetes affects U+1 percent of the population in our patient's age group, and that our test has a false positive rate of U+4 percent. Compute the following quantities based on this new information: (Assume population is 100,000) Part A: Fill out the table with the correct values. (2 decimals for percentages and whole numbers for totals table) Percentages Test Positive Test Negative (Disease) Total Affected by Blood Test Reliability False Positive Rate 6% 96% 8% Out of 100,000 Disease Present Disease Not Present (Test) Total Part B: Answer the following questions a. What is the probability of having the disease given that you test positive? (4 Decimal places as a decimal or 2 decimal places as percentage) Final Answer= b. What is the probability of having the disease given that you tested negative? (4 Decimal places as a decimal or 2 decimal places as percentage) Final Answer Part C: Investigate and comment on the following situations: 1. If the number of people affected by disease increased, what would happen to the false positive and false negative values? What kind of conclusion could someone draw about the effectiveness of the test from that? 2. If the false positive rate went down, would that effect the false negative rate? 3. If the population went down to 10,000; do the results look any different? Are they better or worse?
Expert Solution
steps

Step by step

Solved in 5 steps with 2 images

SEE SOLUTIONCheck out a sample Q&A here
Blurred answer
Recommended textbooks for you
MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
Probability and Statistics for Engineering and th…
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 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…
Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON
The Basic Practice of Statistics
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
Introduction to the Practice of Statistics
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman
SEE MORE TEXTBOOKS