Elementary probability theory

Assignment Help Basic Statistics

Reference no: EM1399150

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 - )

Reference no: EM1399150

Questions Cloud

Case study- pears soap : The product developed the bestselling soap of its era. In telling Barratt's marketing genius, Twitchell tells us, He learned how to make value for one of the most undifferentiated products of the machine age - soap.

Determine the percentage increase in productivity : Lake Charles Seafood makes 500 wooden packing boxes for fresh seafood per day, working in two 10-hour shifts. Due to increased demand, plant managers have decided to operate three 8-hour shifts instead.

Describe the ntd you researched : describe the NTD you researched and the organism that causes it. Explain how the NTD you researched relates to this lesson. Provide a rationale with your response.

Dehydration upon heating with concentrated sulphuric acid : Dehydration upon heating with concentrated sulphuric acid without carbocation rearrangement?

Elementary probability theory : Diagnosis tests of medical conditions have several results. The test result can be positive or negative, whether or not a patient has the condition.

What type of organism is saccharina japonica : What type of organism is Saccharina japonica.

How development of the hello kitty product line is important : illustrate what do you think kandy kastle's new product development strategy is? Explain why do you think the development of the Hello Kitty product line is so important?

Conditional and marginal probabilities : You have 4 jars. In the largest jar you have three balls numbered 1 to 3. Then you have 3 colored jars. Jar 1 has a red ball and two orange balls.

What volume of hydrochloric acid solution : What volume of hydrochloric acid solution of 0.25 M must be diluted to prepare 1.00 L of 0.040 M HCl and calculate Keq at this temperature for the given reaction 2 NOCl (g) W 2 NO (g) + Cl 2 (g) ( reaction is at equilibrium):

User Account

All Pages