When a test is conducted to determine whether or not someone is infected with a particular...
Fantastic news! We've Found the answer you've been seeking!
Question:
Transcribed Image Text:
When a test is conducted to determine whether or not someone is infected with a particular virus, an incorrect test result can occur in two ways: A infected person may test negative, or a noninfected person may test positive. The latter is called a false positive test. It has been pointed out that the social consequences of false positive tests for the AIDS virus are particularly serious. Such a false positive test will unnecessarily "stigmatize and fright any healthy people," because "most people consider a positive AIDS test to be sentence to ghastly suffering and death." Meyer and Pauker therefore assert that it is important that a patient who tests positive for the AIDS virus have a high probability of really being infected. In order to focus on the false positive rate of the test, assume throughout this question that we are dealing with a test that properly identifies all persons who really are infected with the AIDS virus. a) Assume that 5% of a population to be tested for the AlIDS virus really is infected and that the test has a false positive rate of 0.5%. Find probability that a person who tests positive really is infected. b) Assume now that a low-risk population is to be tested. Specifically, assume that 0.01% of the population to tested is actually infected with the AIDS virus and that the test has a false positive rate of 0.005% (which is unusually low). Find the probability that a person who tests positive really is infected. c) What would your answer to part (c) be if you assumed a false positive rate of 0.05%? (15 marks) When a test is conducted to determine whether or not someone is infected with a particular virus, an incorrect test result can occur in two ways: A infected person may test negative, or a noninfected person may test positive. The latter is called a false positive test. It has been pointed out that the social consequences of false positive tests for the AIDS virus are particularly serious. Such a false positive test will unnecessarily "stigmatize and fright any healthy people," because "most people consider a positive AIDS test to be sentence to ghastly suffering and death." Meyer and Pauker therefore assert that it is important that a patient who tests positive for the AIDS virus have a high probability of really being infected. In order to focus on the false positive rate of the test, assume throughout this question that we are dealing with a test that properly identifies all persons who really are infected with the AIDS virus. a) Assume that 5% of a population to be tested for the AlIDS virus really is infected and that the test has a false positive rate of 0.5%. Find probability that a person who tests positive really is infected. b) Assume now that a low-risk population is to be tested. Specifically, assume that 0.01% of the population to tested is actually infected with the AIDS virus and that the test has a false positive rate of 0.005% (which is unusually low). Find the probability that a person who tests positive really is infected. c) What would your answer to part (c) be if you assumed a false positive rate of 0.05%? (15 marks)
Expert Answer:
Answer rating: 100% (QA)
Required solution of all parts are given below Ans a PInfected 5 005 PNot infected 1 PInfected 1 005 ... View the full answer
Related Book For
Elementary Statistics
ISBN: 978-0538733502
11th edition
Authors: Robert R. Johnson, Patricia J. Kuby
Posted Date:
Students also viewed these accounting questions
-
It has been pointed out that there may be increased amounts of NO in the troposphere as compared with the past because of massive use of nitrogen-containing compounds in fertilizers. Assuming that NO...
-
A researcher is asked to determine whether or not a productivity objective (in dollars) of better than $75,000 per employee is possible. A productivity test is done involving 20 employees. What...
-
Test the following function to determine whether or not it is a binomial probability function. List the distribution of probabilities and sketch a histogram. Tr)-C)(1).(1 5-x for x = 0, 1, 2, 3, 4, 5
-
Find the eccentricity of the hyperbola. Then find and graph the hyperbolas foci and directrices. x 2 - y 2 = 1
-
Consider a 500-L rigid tank containing an airwater vapor mixture at 100 kPa, 35C, with a 70% relative humidity. The system is cooled until the water just begins to condense. Determine the final...
-
PM Computers is an international manufacturer of computer equipment and software. It is going to introduce a number of new products in the coming year, and it wants to develop marketing programs to...
-
Based on the following pedigree for a trait determined by a single gene (affected individuals are shown as filled symbols), state whether it would be possible for the trait to be inherited in each of...
-
As the manager of credit card services at Bank of Hanover (BOH), you're aware that the average profitability of a credit card customer grows with the number of years they have used the credit card....
-
Consider the following ridiculously simple linear system: 10 (9)(2)-(0) a. What is the solution of this linear system? You don't have to show your work. b. Set up a Neumann iteration with initial...
-
Referring to Problem 18, suppose the airline wants to determine how many checkpoints to operate to minimize operating costs and delay costs over a 10-year period. Assume that the cost of delaying a...
-
6. Evaluate the value of output y for the following arithmetic expression. Given that a = 4, b = 6 and c = 5. y = a +b*c y = c*a%b c. y = math.sqrt (a*b*c+b)/2 d. y = c*c/5%2*10 a+b/a**b%2 e.
-
16. Two full-adder implementations are presented in Figure la & lb. Cin Sum Cin DFD Sum Cout Cout (a) 13-in XOR, 32-in AND, and 1 3-in OR. (b) 2 2-in XOR, 22-in AND, and 1 2-in OR. Figure 1: Two...
-
Employee is a class that has the following instance variables: name (a String), age (an int), and salary (a double). Write a constructor for the Employee class that takes '3' parameters for these...
-
Write a program which reads three integers (say, a, b and c), then prints these three numbers System.out.println(a + " " + b + " " + c); and then rearranges the values in these variables in such a...
-
5. Given the following circuit: Z a) Find out the logic equation for z b) Given the following input values, for A and B, you need to find out the output from each gate and then final value for z i)...
-
Design a C# GUI Shipping Application using windows form that will take as an input the weight of an item and type of shipping (regular or Overnight using a Radio button) then display in a currency...
-
You have found your dream home! The sales price you agreed upon is $850,000. You have 20% to use as a down payment and will finance the rest over a 30 year period at a rate of 3.75%. How much will...
-
Sportique Boutique reported the following financial data for 2012 and 2011. Instructions(a) Calculate the current ratio for Sportique Boutique for 2012 and 2011.(b) Suppose that at the end of 2012,...
-
Events R and S are defined on a sample space. If P(R) = 0.2 and P(S) = 0.5 explain why each of the following statements is either true or false: a. If R and S are mutually exclusive, then P(R or S) =...
-
Every Tuesday, Jasons Video has roll-the-dice day. A customer may roll two fair dice and rent a second movie for an amount (in cents) determined by the numbers showing on the dice, the larger number...
-
An issue of Popular Mechanics gives specifications and dimensions for various jet boats. The following table summarizes some of this information. Using the Excel output at the bottom of the page:...
-
WHSmith plc is one of the UKs leading retailers and is made up of two core businesses Travel and High Street. Extracts from Annual report and accounts About us WHSmith has a presence in a wide range...
-
Associated British Foods is a diversified international food, ingredients and retail group with sales of 12.9bn, and 118,000 employees in 47 countries across Europe, southern Africa, the Americas,...
-
Rio Tinto is a leading global mining group that focuses on finding, mining and processing the Earths mineral resources. Our vision is to be a company that is admired and respected for delivering...
Study smarter with the SolutionInn App