Purchase Solution

Elementary probability theory

Not what you're looking for?

Ask Custom Question

Diagnosis tests of medical conditions have several results. The test result can be positive or negative, whether or not a patient has the condition. A positive test(+) indicates the patient has the condition. A negative (-) test indicates that a patient does not have the condition. Remember, a positive test does not prove that the patient has the condition. Additional medical test may be required.Consider a random sample of 200 patients, some of whom have a medical condition and some of whom do not. Results of a new diagnostic test for the condition are shown.

Conditions Conditions Row Total
presents Absent

Test results + 110 20 130

Test Results - 20 50 70

Column Total 130 70 200

Assume the sample is representing of the entire population. For a person selected at random, compute the following probabilities.

a) P(+, given condition present);this is known as the sensitivity of a test.
b) P( -, given condition present); this is known as the false-negative rate.
c) P( -, given condition absent); this is known as the specificity of a test.
d) P( +, given condition absent); this is known as the false - positive rate.
e) P( condition presents and +);this a predictive of the test.
f) P( condition presents and - )

Purchase this Solution

Solution Preview

Conditions Conditions Row Total
presents Absent

Test results + 110 20 130

Test Results - 20 50 70

Column Total 130 70 200

Assume the sample is representing of ...

Solution provided by:
Education
  • BE, Bangalore University, India
  • MS, University of Wisconsin-Madison
Recent Feedback
  • "Your explanation to the answers were very helpful."
  • "What does 1 and 0 means in the repair column?"
  • "Went through all of the formulas, excellent work! This really helped me!"
  • "try others as well please"
  • "Thank you, this helped a lot. I was not sure how to plug in those numbers to a formula. This was a great help. Now I have to figure out how to explain cost of capital is used in net present value analysis, and how cost of capital is used in net present value analysis. This stuff gets confusing."
Purchase this Solution


Free BrainMass Quizzes
Know Your Statistical Concepts

Each question is a choice-summary multiple choice question that presents you with a statistical concept and then 4 numbered statements. You must decide which (if any) of the numbered statements is/are true as they relate to the statistical concept.

Terms and Definitions for Statistics

This quiz covers basic terms and definitions of statistics.

Measures of Central Tendency

This quiz evaluates the students understanding of the measures of central tendency seen in statistics. This quiz is specifically designed to incorporate the measures of central tendency as they relate to psychological research.

Measures of Central Tendency

Tests knowledge of the three main measures of central tendency, including some simple calculation questions.