The National Institute for Sports estimates that 11% of all college athletes use steroids. A new test correctly diagnoses the presence of steroids in 94% of athletes that have used steroids in the past 18 months. The test gives a positive result to 14% of athletes who do not use steroids. What is the probability an athlete uses steroids given that he has a negative result?

The National Institute for Sports estimates that 11% of all college athletes use steroids. A new test correctly diagnoses the presence of steroids in 94% of athletes that have used steroids in the past 18 months. The test gives a positive result to 14% of athletes who do not use steroids. What is the probability an athlete uses steroids given that he has a negative result?

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: Adult Americans were asked if they felt that food packaging labels were truthful. Sixty-seven…

A: GIVEN DATA P( felt that food packaging labels were truthful) = p = 0.67 sample size (n) = 90 x = no.…

Q: According to a 2009 Reader's Digest article, people throw away approximately 20% of what they buy at…

A: Given data Probability of throwing away (p) = 0.2 No of grocery shoppers(n) = 100 Probability that…

Q: A survey reported in USA Today indicates that 65% of small business owners favor drug testing for…

A: The probability of small business owners favoring drug testing for their employees is, The sample…

Q: In America, 6.7% of adults suffer from heart disease. Assume we have a diagnostic test for heart…

A: Introduction: The sensitivity of a test is the probability that the test result is positive, given…

Q: According to your textbook, statistical power is the probability of not making which of the…

A: Type1 error Probability of rejection of null hypothesis when it is true. It is represented by alpha.…

Q: It is reported that 60% of people are non-smokers. A non-smoker has a 10% chance of infected by the…

A: Given information, P(non-smoker)=60%=0.60 P(smoker)=1-0.60=0.40 P(infected| non-smoker)=0.10…

Q: A recent study of cardiovascular risk factors reports that 30% of adults meet the criteria for…

A: Given data P = 30% = 0.30n= 15Px = 0 = ?

Q: Although studies continue to show diabetes leads to significant health problems, 20% of adults in…

A: Introduction: Denote X as the number of sampled adults who have diabetes. Assume that the n = 250…

Q: The average monthly grocery bill for an individual is normally distributed with a mean of $85 and a…

A: Solution: Let X be the average monthly grocery bill for an individual is normally distributed with…

Q: 10 years ago, high levels of lead in blood put 83% of children at risk. Now only 8% of children are…

A: Introduction: Denote p as the true population proportion of children who were at risk 10 years ago,…

Q: It is known that 17% of people ride public transport without paying for it. We talk to 85 people who…

A: Consider that p is population proportion people, who ride public transport without paying for it.

Q: A quality assurance check is 91% accurate for non-defective devices and 97% accurate for defective…

A: Let us consider that there are 10000 devices. Now given that of the devices checked 84% are not…

Q: A study showed that 69.7% of occupants involved in a fatal car crash wore seat belts. Of those in a…

Q: About 0.5% of adults have nut allergy. The test correctly identifies 94% of the time adults with…

Q: 2. In a population of 1000, the proportion of teenagers (age 13 through age 19) is 34%. Take a…

A: Given that, Population proportion P=0.34 Sample size n=100 Sample proportion p^=0.28

Q: About 13% employed adults in the US held multiple jobs. Random sample of 74 employed adults is…

A: Given, About 13% employed adults in the US held multiple jobs. Random sample of 74 employed adults…

Q: According to the Cable and Telecomm. Association for Marketing, 30% of cable television subscribers…

A: Given : n = 15 p = 0.30 Let X be the number of cable television subscribers.

Q: That should I buy? A study conducted by the Pew Research Center reported that 58% of cell phone…

Q: A national survey reported that 31% of adults in a certain country have hypertension (high blood…

A: Let X denote the no.of adults in a certain country have hypertension and it follows binomial…

Q: A study of 180 randomly selected American Airlines flights showed that 68 arrived late. What is the…

A: No. of American flights =180 No. of american flights arrived late=68

Q: A study assessed the accuracy of self-reported smoking status. Among self-reported nonsmokers, 92…

A: Formula: probability is the number of favourable response divided by total number of sample size.

Q: Last Fall Semester, 36% of freshmen who applied for football season tickets did not receive tickets…

A: Obtain the probability that more than 40% of those sampled did not receive tickets for all home…

Q: A national survey reported that 31% of adults in a certain country have hypertension (high blood…

Q: Migraine medication was administered to patients in that 2% experienced weight gain as a side…

Q: manufacturer of aspirin claims that the proportion of headache sufferers who get relief with their…

A: Given data,Probability of success is p=63.8%=0.638If n=430P(X<58.4%)=?

Q: A recent study of cardiovascular risk factors reports that 30% of adults meet the criteria for…

Q: It is known that 17% of people ride public transport without paying for it. We talk to 79 people who…

A: Given,sample size(n)=79sample proportion(p^)=0.17

Q: It is estimated that 25% of the athletes competing in a large tournament are users of an illegal…

A: Given that : 25% of the athletes competing in a large tournament are users of an illegal drug to…

Q: The national center for health statistics has found that there is a 5.01% chance that an american…

A: There is 5.01% chance that an American citizen will die from an accident.

Q: is estimated that 5% of the athletes competing in a large tournament are users of an illegal drug to…

A: Given that : It is estimated that 5% of the athletes competing in a large tournament are users of an…

Q: A study of 3000 people compared the rates of liver cancer between 2000 people who drank one or more…

A: Here we want to test the relationship between coffee drinking and liver cancer. For finding the…

Q: According to the CDC national center for health statistics, about 42.4% of adult Americans fit the…

A: given data, p=0.424n=200np=0.424*200=84.8nq=(1-0.424)*200=115.2 here np and nq≥5so we can assume…

Q: If a smoker is selected at random, what is the probability that the individual has diabetes? What is…

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

The National Institute for Sports estimates that

11%

of all college athletes use steroids. A new test correctly diagnoses the presence of steroids in

94%

of athletes that have used steroids in the past 18 months. The test gives a positive result to

14%

of athletes who do not use steroids.

What is the probability an athlete uses steroids given that he has a negative result?

Video Video

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 1 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

A construction company wants to understand how important safety helmets are on their worksite. They find that around 73% of their workers wear safety helmets regularly. Of those who wear these helmets, only 14% report any head injuries; for those who do not wear them regularly, 52% report head injuries. What is the probability that a person who has reported a head injury was wearing a helmet?
A national survey reported that 31% of adults in a certain country have hypertension (high blood pressure). A sample of 21 adults is studied. Round the answer to at least four decimal places. What is the probability that fewer than 4 have hypertension?
It is known that 19% of people ride public transport without paying for it. We talk to 82 people who have been on public transport in the last month. What is the probability that the sample proportion is more than 22%?
A survey of U.S. adults ages 18-29 found that 92% use the internet. You randomly select 100 adults ages 18-29 and ask them if they use the internet. The probability that at least 86 people say they use the internet is [ ].
What is the probability that a randomly selected participant tasted apples and preferred non-organic?
please help. thank you
According to the American Automobile Association (AAA), 5.3% of Americans plan to travel by car over the next holiday weekend and 82.8% plan to stay home. What is the probability that a randomly selected American plans to stay home or travel by car over the next holiday weekend?
The president of Doerman Distributors, Inc. believes that 30% of the firm's orders come from first-time customers. A random sample of 100 orders will be used to estimate the proportion of first-time customers. What is the probability that the sample proportion will be within .05?
14 percent of the school age population attends private schools and 1% of those get executive-level positions later in their careers. This compares with0.1%of people who attend state schools achieving executive-level positions. What is the probability that a randomly selected person in an executive-level position had attended a private school?
In a recent year, speaking characters in movies were 68.2% male. What is the probability of randomly selecting a character with a speaking part and getting a female? What should be the value of that probability?
What is the probability that a randomly chosen individual would be less than 64.5 years of age? Show how you standardized the problem.
State the predicted probability of being a 53 year old menopausal woman whose hemoglobin level is 15?