Concept explainers
a.
To compute: The rates of false positive and false negative of the test
a.
Answer to Problem 100E
The rates are 6.67% and 4% respectively.
Explanation of Solution
Given:
The table is constructed as:
Medical patients | Other Condition | Total | |
Correctly Identified | 240 | 700 | 940 |
Incorrectly Identified | 10 | 50 | 60 |
Total | 250 | 750 | 1000 |
Formula used:
Calculation:
Technicians correctly identified 240 of the 250 patients with the condition. They also identified 50 of the healthy patients as having the condition, then the false positive (FP) and false negative rates for the test ( FN ), can be calculated as:
Thus, the required rates are 6.67% and 4% respectively.
b.
To compute: The
b.
Answer to Problem 100E
The probability is 0.8276.
Explanation of Solution
Calculation:
The probability that the selected patient has the medical condition given that he got a positive test result can be calculated as:
Thu, the required probability is 0.8276.
Chapter 5 Solutions
The Practice of Statistics for AP - 4th Edition
Additional Math Textbook Solutions
Introductory Statistics (2nd Edition)
Statistics for Psychology
Elementary Statistics: Picturing the World (6th Edition)
STATS:DATA+MODELS-W/DVD
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