A drug company is developing a new pregnancy-test kit for use on an outpatient basis. The company uses the pregnancy test on 100 women who are known to be pregnant, for whom 93 test results are positive. The company uses the pregnancy test on 100 other women who are known to not be pregnant, of whom 99 test negative. (a) What is the sensitivity of the test? 0.93 (b) What is the specificity of the test? 0.99 ✓ The company anticipates that of the women who will use the pregnancy-test kit, 10% will actually be pregnant. (c) What is the PV+ of the test? (Round your answer to four decimal places.) 0.9118 ✓ (d) Suppose the "cost" of a false negative (2c) is twice that of a false positive (c) (because for a false negative prenatal care would be delayed during the first trimester of pregnancy). If the standard home pregnancy-test kit (made by another drug company) has a sensitivity of 0.95 and a specificity of 0.95, then which test (the new or standard) will cost the least per woman using it in the general population and by how much? ✔ test will cost the least per woman using it in the population. The difference in price (calculated as higher price - lower price) is 0.04c The new x.
A drug company is developing a new pregnancy-test kit for use on an outpatient basis. The company uses the pregnancy test on 100 women who are known to be pregnant, for whom 93 test results are positive. The company uses the pregnancy test on 100 other women who are known to not be pregnant, of whom 99 test negative. (a) What is the sensitivity of the test? 0.93 (b) What is the specificity of the test? 0.99 ✓ The company anticipates that of the women who will use the pregnancy-test kit, 10% will actually be pregnant. (c) What is the PV+ of the test? (Round your answer to four decimal places.) 0.9118 ✓ (d) Suppose the "cost" of a false negative (2c) is twice that of a false positive (c) (because for a false negative prenatal care would be delayed during the first trimester of pregnancy). If the standard home pregnancy-test kit (made by another drug company) has a sensitivity of 0.95 and a specificity of 0.95, then which test (the new or standard) will cost the least per woman using it in the general population and by how much? ✔ test will cost the least per woman using it in the population. The difference in price (calculated as higher price - lower price) is 0.04c The new x.
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
PART D
Transcribed Image Text:Gynecology
A drug company is developing a new pregnancy-test kit for use on an outpatient basis. The company uses the pregnancy test on 100 women who are known to be pregnant, for whom 93 test results are positive. The company
uses the pregnancy test on 100 other women who are known to not be pregnant, of whom 99 test negative.
(a) What is the sensitivity of the test?
0.93
(b) What is the specificity of the test?
0.99
✓
The company anticipates that of the women who will use the pregnancy-test kit, 10% will actually be pregnant.
(c) What is the PV+ of the test? (Round your answer to four decimal places.)
0.9118
✓
(d) Suppose the "cost" of a false negative (2c) is twice that of a false positive (c) (because for a false negative prenatal care would be delayed during the first trimester of pregnancy). If the standard home pregnancy-test kit
(made by another drug company) has a sensitivity of 0.95 and a specificity of 0.95, then which test (the new or standard) will cost the least per woman using it in the general population and by how much?
✔ test will cost the least per woman using it in the population. The difference in price (calculated as higher price - lower price) is 0.04c
The new
x.
Expert Solution
Step 1
To compare the costs of the new and standard pregnancy tests, we need to consider the cost of each type of error for both tests. Let's denote the cost of a false positive as c, and the cost of a false negative as 2c.
Trending now
This is a popular solution!
Step by step
Solved in 3 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