a. The probability is approximately 0.0526. (Round to four decimal places as needed.) b. Fill in the numbers in the tree diagram. (Round to the nearest integer as needed.) S (4) S° ( 996 ) Pos () Neg() Pos (60) Neg()

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
icon
Related questions
Question

Hello!, I wanted to know if you could help me figure out the rest of the tree diagram? I did half of the chart but I'm not sure how I would fill out the rest

For the use of a test for a certain disease, the sensitivity is 0.83, the specificity is 0.94, and the prevalence is 0.004.
a. Given that a test is positive, find the probability that a random patient has the disease.
b. Draw a tree diagram for a typical sample of 1000 patients.
c. Of the cases that are positive, explain why the proportion in error is larger if the prevalence is lower.
a. The probability is approximately 0.0526.
(Round to four decimal places as needed.)
b. Fill in the numbers in the tree diagram.
(Round to the nearest integer as needed.)
S (4)
Sc
(996)
Pos
Neg
Pos (60)
Neg
Transcribed Image Text:For the use of a test for a certain disease, the sensitivity is 0.83, the specificity is 0.94, and the prevalence is 0.004. a. Given that a test is positive, find the probability that a random patient has the disease. b. Draw a tree diagram for a typical sample of 1000 patients. c. Of the cases that are positive, explain why the proportion in error is larger if the prevalence is lower. a. The probability is approximately 0.0526. (Round to four decimal places as needed.) b. Fill in the numbers in the tree diagram. (Round to the nearest integer as needed.) S (4) Sc (996) Pos Neg Pos (60) Neg
Expert Solution
steps

Step by step

Solved in 2 steps with 1 images

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