Suppose a certain HIV test has both a sensitivity and specificity of 99.9%. This test is applied to a population of 1,000,000 people. Suppose the population comes from the blood donor pool that has already been screened. In this population, 0.1% of the population is actually infected with HIV. Used drugs Did not use drugs Total Tested Positive Tested Negative Total Complete the table above Calculate the PPV Calculate the NPV How many people will test positive who are, in fact, disease-free?

Suppose a certain HIV test has both a sensitivity and specificity of 99.9%. This test is applied to a population of 1,000,000 people. Suppose the population comes from the blood donor pool that has already been screened. In this population, 0.1% of the population is actually infected with HIV. Used drugs Did not use drugs Total Tested Positive Tested Negative Total Complete the table above Calculate the PPV Calculate the NPV How many people will test positive who are, in fact, disease-free?

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

See similar textbooks

Related questions

Q: You receive a brochure from a large university. The brochure indicates that the mean class size for…

A: a) Denote μ as the population mean class size for full-time faculty.

Q: Periodically, the county Water Department tests the drinking water of homeowners for contminants…

A: (a) The 99% confidence interval for the mean lead level in water specimens of the sub development is…

Q: 3) grocery store is sponsoring a sales promotion where the cas of the letters A, E, L, S, U, or V…

A: Letters that needs to be collected = V, A, L, U, E, S Total number of letters = 6 Let's suppose Xi…

Q: Four different types of solar energy collectors were tested. Each was tested at four randomly chosen…

A: Since you have posted a question with multiple sub-parts, we will solve first three subparts for…

Q: A researcher wanted to determine whether certain accidents were uniformly distributed over the days…

A: A researcher wanted to determine whether certain accidents were uniformly distributed over the days…

Q: Find the raw score for 99% with a population mean of 29 and σ of 4

Q: The CDC publishes charts on Body Mass Index (BMI) for boys and girls of different ages. Based on the…

A: Note: Hi there! Thank you for posting the question. As you have posted multiple questions, as per…

Q: A random sample of size 344 results in 150 successes. Build a 94% CI for the population proportion…

Q: E2 where the reactor rise time of the sece 3. Find Ej U E2, E¡ N E2, and E¡'. 4. Are E1 and E2…

A: 4) Yes E1 and E2 are mutually exclusive as both events cannot happen at the same time , E1 ranges…

Q: A random sample of 344 Californians found that 132 support Measure A. Build a 85% CI for the…

A: (a) Check the conditions of at least 5 successes and 5 failures. The conditions are checked…

Q: The data table shows the yields for a one-year certificate of deposit (CD) and a five-year CD for 13…

A: a For One-Year CD Consider the given data. The data arrange in ascending order, which is given…

Q: In a survey of 460 drivers from the South, 409 wear a seat belt. In a survey of 340 drivers from the…

Q: Please show work and formula, I need help with number 4, 6, and 7 A random sample of 25 frozen…

Q: Total plasma volume is important in determining the required plasma component in blood replacement…

A: Hello! As you have posted more than 3 sub parts, we are answering the first 3 sub-parts(ME, lower…

Q: In Oregon, 24.9% of the 1.998 million dosages given have been to people whose vaccination is…

A: Given that In Oregon, 24.9% of the 1.998 million dosages given have been to people whose…

Q: ons: On A manager at a local discount gym believes that less than 20% of gym members use the gym, at…

Q: bu receive a brochure trom a large university The brochure Complete parts (a) through (d) below…

A: Given that : Claim : The brochure indicates that the mean class size for full time is faculty is…

Q: You receive a brochure from a large university. The brochure indicates that the mean class size for…

Q: The British Department of Transportation studied to see if people avoid driving on Friday the 13th.…

A: From the provided information, Sample size (n) = 10 The difference table can be constructed as:…

Q: You receive a brochure from a large university. The brochure indicates fewer than 33 students. You…

A: Given information:

Q: The British Department of Transportation studied to see if people avoid driving on Friday the 13th.…

A: Given that: Dates 6th 13th 1990, July 137750 134961 1990, July 119922 116017 1991,…

Q: You want to obtain a sample to estimate a population proportion. At this point in time, you have no…

A: Given;margin of error(E)=2.5%=0.025at 90% confidence level, significance…

Q: Refer to the figure at the right. At a= 0.10, can you reject the claim that the proportion of 18 to…

Q: Length Area 37 53 30 45 25 30 25 39 43 60 31 49 43 60 38 57 What is the lower…

A: Regression line are used to predict the future variable. Prediction interval are used to predict the…

Q: Q There is a famous single chair hair styling salon in town. Suppose, customers arrive at that…

A: Since you have posted a question with multiple sub-parts, we will answer the first three sub-parts…

Q: Suppose that a customer is purchasing a car. He conducts an experiment in which he puts 10 gallons…

Q: Biologists studying horseshoe crabs want to estimate the percent of crabs in a certain area that are…

A: The one sample z-confidence interval for the population proportion is given as follows:

Q: Find the weighted estimate, p to test the claim that p, = p2. Use a = 0.05. The sample statistics…

Q: The stem-and-leaf plot below shows how many minutes are spent sanitizing the kitchen at several…

A: Given:

Q: ncar and records the number of miles driven. 210 258 246 248 173 275 201 253 246 202 224 314 Car 1…

Q: You receive a brochure from a large university. The brochure indicates that the mean class size for…

A: Given information:

Q: You receive a brochure from a large university. The brochure indicates that the mean class size for…

A: From the given information we conduct T test for one mean.

Q: A random experiment consists of throwing 4 equal coins, if X is the number of stamps:a. What is the…

A: Note:Hi, thank you for this question. We have considered number of stamps as the number of tails (or…

Q: In a classic study of peptic ulcer, blood types were determined for 1,655 ulcer patients. The…

A: Given that there are two group of patient one is with peptic ulcer and another is control group. The…

Q: You receive a brochure from a large university. The brochure indicates that the mean class size for…

A: Given :- You receive a brochure from a large university. The brochure indicates that the mean class…

Q: As a researcher for an environmental agency, you have been asked to determine if the air quality in…

A: Given : x1 = 24.57S1 = 14.56x2 =33S2 = 18.80

Q: You receive a brochure from a large university. The brochure indicates that the mean class size for…

A: Given that, Sample size n=18 Sample mean x¯=29.33 Sample standard deviation s=4.2703

Concept explainers

Estimation

A new framework of data analysis where the new statistical methods are used for interpreting the results and analyzing the data is known as estimation in statistics.

Question

Suppose a certain HIV test has both a sensitivity and specificity of 99.9%. This test is applied to a population of 1,000,000 people. Suppose the population comes from the blood donor pool that has already been screened. In this population, 0.1% of the population is actually infected with HIV.

	Used drugs	Did not use drugs	Total
Tested Positive
Tested Negative
Total

Complete the table above

Calculate the PPV

Calculate the NPV

How many people will test positive who are, in fact, disease-free?

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

This is a popular solution!

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Step 3

VIEW

Trending now

This is a popular solution!

Step by step

Solved in 3 steps with 4 images

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

$Point Estimation, Limit Theorems, Approximations, and Bounds$

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, probability and related others by exploring similar questions and additional content below.

Similar questions

You receive a brochure from a large university. The brochure indicates that the mean class size for full-time faculty is fewer than 31 students. You want to test this claim. You randomly select 18 classes taught by full-time faculty and determine the class size of each. The results are shown in the table below. At a = 0.10, can you support the university's claim? Complete parts (a) through (d) below. Assume the population is normally distributed. 34 27 26 35 29 39 25 26 290 28 28 34 30 32 28 29 26 24 (a) Write the claim mathematically and identify Ho and Ha. Which of the following correctly states Ho and H3? O A. Ho: H= 31 B. Ho, μs 31 O c. Ho : μ= 3 Ha: H#31 Ha: u> 31 Ha: H31 OF. Ho: H231 Ha: u231 Ha: us 31 Ha: µ<31 (b) Use technology to find the P-value. P = (Round to three decimal places as needed.) (c) Decide whether to reject or fail to reject the null hypothesis. Which of the following is correct? O A. Reject Ho because the P-value is less than the significance level. O B. Fail…
You receive a brochure from a large university. The brochure indicates that the mean class size for full-time faculty is fewer than 31 students. You want to test this claim. You randomly select 18 classes taught by full-time faculty and determine the class size of each. The results are shown in the table below. At a = 0.05, can you support the university's claim? Complete parts (a) through (d) below. Assume the population is normally distributed Ha μ#31 33 26 (b) Use technology to find the P-value. 25 30 28 38 33 36 H₂ μ31 EN 25 28 310 24
A researcher wants to determine the sensitivity of mammograms to determine how effective they are at diagnosing women who have breast cancer. Assume the researcher obtained the above results from a study, calculate and interpret the sensitivity of mammograms for detecting breast cancer. Frequency of Breast Cancer Cases Frequency of Non-Cancer Cases Frequency of Individuals Who Screened Positive 17 5 Frequency of Individuals Who Screened Negative 8 77 Group of answer choices: a. A total of 66.67% of individuals who have breast cancer test positive for breast cancer when using a mammogram as the primary diagnostic test for breast cancer. b. A total of 68% of individuals who have breast cancer test positive for breast cancer when using a mammogram as the primary diagnostic test for breast cancer. c. A total of 70.59% of individuals who have breast cancer test positive for breast cancer when using a mammogram as the primary diagnostic test for breast cancer. d. A total of…
Statistics Question
Pls show complete solution
A political newspaper, Politically Sound, is interested in the distances voters in Rising Falls County live from their nearest polling station. Politically Sound has hired you to estimate the population mean of all such distances for voters in this county. To estimate this population mean, you select a random sample of 17 Rising Falls County voters and record the distance (in km) each voter lives from their nearest polling station. Assume the population is approximately normally distributed. Based on your sample, follow the steps below to construct a 99% confidence interval for the population mean of all the distances voters in Rising Falls County live from their nearest polling station. (If necessary, consult a list of formulas.) (a) Click on "Take Sample" to see the results for your random sample. Take Sample Number of voters 17 Sample mean 4.757 Sample standard deviation 2.363 Enter the values of the sample size, the point estimate of the mean, the sample standard deviation, and the…
the dataset provides information on temperature change in some provinces from china. Analyze it using SPSS and conduct any tests
A new vaccination is being used in a laboratory experiment to investigate whether it is effective. There are 279 subjects in the study. Is there sufficient evidence to determine if vaccination and disease status are related? Vaccination Status Vaccinated Not Vaccinated Total Diseased Not Diseased Total 54 87 71 192 125 279 33 121 154 Step 4 of 8: Find the value of the test statistic. Round your answer to three decimal places. Copy Data
We collected data for 300 people at a movie theater. For every person, we know what genre of movie they saw and whether or not they bought snacks.(we would expect 100% of people to bring snacks) Here are the results Type of Movie Snacks No Snacks Action 26 34 Comedy 47 23 Family 90 30 Horror 30 20 chi square test of independence
A random sample of 300 Italians found that 71.3% eat pasta at least twice a week. Build a 85% CI for the proportion of Italians who eat pasta at least twice a week. a. First, confirm that there are at least 5 successes and 5 failures: There are successes and failures. b. Enter your Cl answer like this: (min,max). Round to three decimals. Be sure to include the parentheses or you will be marked wrong. Submit Question
Biologists studying horseshoe crabs want to estimate the percent of crabs in a certain area that are longer than 35 centimeters. The biologists will select a random sample of crabs to measure. Which of the following is the most appropriate method to use for such an estimate? A one-sample z-interval for a population proportion A A one-sample z-interval for a sample proportion B A two-sample z-interval for a population proportion C A two-sample z-interval for a difference between population proportions D A two-sample z-interval for a difference between sample proportions