Suppose that 6% of a particular population have a particularly nasty disease. There is a test for the disease that correctlyidentifies those with the disease 98% of the time. However, the same test gives a false positive 1% of the time. Suppose that arandom person from this population is given the test as part of a wellness exam.Give answers in decimal form rounded to 4 decimal places as needed.A. Suppose that a random person comes in for a wellness exam and tests positive for the disease. What is the probability that sheactually has the disease?B. Suppose that a person comes in for a wellness exam and tests negative. What is the probability that this person does not havethe disease?C. What proportion of the total population will test positive?D. What proportion of the total population will not have the disease and will test negative?

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Answered: Suppose that 6% of a particular…

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...

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The mean entry level salary of an employee at a company is $60,000. You believe it is lower for IT professionals in the company. State the null and alternative hypotheses.
An anger-management course claims that, after completing its seminar, participants will lose their tempers less often. Always a skeptic, you decide to test this claim. A random sample of 12 seminar participants is chosen, and these participants are asked to record the number of times that they lost their tempers in the two weeks prior to the course. After the course is over, the same participants are asked to record the number of times that they lost their tempers in the next two weeks. The following table lists the results of the survey. Using these data, test the claim at the 0.01 level of significance assuming that the population distribution of the paired differences is approximately normal. Let participants before completing the anger-management course be Population 1 and let participants after completing the anger-management course be Population 2. Number of Times Temper Was Lost during a Two-Week Period Before 10 6 8 10 6 3 10 3 8 After 6 7 4 4 8 6 4 9 3 7 Copy Data Step 2 of 3:…
Pregnant women are screened for a birth defect called Down syndrome. Down syndrome babies are mentally and physically challenged. Some mothers choose to abort the fetus when they are certain that their baby will be born with the syndrome. The most common screening is maternal serum screening, a blood test that looks for markers in the blood to indicate whether the birth defect may occur. The false-positive and false-negative rates vary according to the age of the mother. Mother’s Age False-Positive Rate False-Negative RateUnder 30 0.040 0.37630-34 0.082 0.29035-37 0.178 0.269Over 38 0.343 0.029 The probability that a baby has Down syndrome is primarily a function of the mother’s age. The probabilities are listed here. Age Probability of Down Syndrome25 1/130030 1/90035 1/35040 1/10045 1/2549 1/12 For each of the age 25, 30, 35, 40, 45 and 49, determine the probability of Down syndrome if the maternity serum screening produces a…
A certain affects virus 0.8% of the population. A test used to detect the virus in a person is positive 88% of the time if the person has the virus (true positive) and 13% of the time if the person does not have the virus (false postive). Fill out the remainder of the following table and use it to answer the two questions below. (enter answer with no commas, i.e. as 1000 not 1,000.) Infected Not Infected Total Positive Test [a] [b] [c] Negative Test [d] [e] [f] Total 800 99,200 100,000 i) Find the probability that a person has the virus given that they have tested positive. (Round your answer to the nearest tenth of a percent and do not include a percent sign.)[g]_______ % ii) Find the probability that a person does not have the virus given that they test negative. (Round your answer to the nearest tenth of a percent and do not include a percent sign.)[h]________ %
A certain medical school accepts only 8% of applicants. A prep program claims that their students are admitted to this medical school at a higher rate. To test their claim at the 10% significance level, we select at random 144 students from the prep program (who all apply to this medical school), and we compute p, the proportion of the sample who are admitted to the medical school.
A study found that 13% of Americans have seen or sensed the presence of an angel. A contingent doubts that the percent is really that high. It conducts its own survey. Out of 76 Americans surveyed, only two had seen or sensed the presence of an angel. As a result of the contingent's survey, would you agree with the study? What is the p-value?
An article claims that 70% of adults over 50 take vitamin supplements. To test this claim, you take a sample and do your math. Based on your results, you end up rejecting the claim. Later it turns out that the claim was in fact correct. What type of error did you make, if any? No error was made. A type II error A type I error
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It is known that 9 out of 10 people are right handed. Would 35 right handed people out of group of 93 be considered significantly low, significantly high, or neither? Show your work below.
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