15. According to the American Management Association, most U.S. companies now test atleast some employees and job applicants for drug use. The U.S. National Institute onDrug Abuse claims that about 15% of people in the 18-25 age bracket use illegal drugs.Allyn Clark, a 21 year-old college graduate, applied for a job at the Acton PaperCompany, took a drug test, and was not offered a job. He suspected that he might havefailed the drug test, even though he does not use drugs. In checking with the company'spersonnel department, he found that the drug test has 99% sensitivity, which means thatonly 1% of drug users incorrectly test negative. Also, the test has 98% specificity,meaning that only 2% of nonusers are incorrectly identified as drug users. Allyn feltrelieved by these figures because he believed that they reflected a very reliable test thatusually provides good results. But is this really true?The accompanying table shows data for Allyn and 1,999 other job applicants. Based onthose results:a. Find P(false positive); that is, find the probability of randomly selecting one of thesubjects who tested positive and getting someone who does not use drugs.b. Find P(false negative); that is, find the probability of randomly selecting someone whotested negative and getting someone who does use drugs.c. Are the probabilities of these wrong results low enough so that job applicants and theActon Paper Company need not be concerned? Explain your answers.Drug User Non-User TotalPositive Test Result 297Negative Test Result 3341666Total

TPR stands for True positive rate. TPR is the probability that an actual positive will test…

Answered: The accompanying table shows data for…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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1. The American Journal of Public Health (July 1995) published a study of the relationshipbetween passive smoking and nasal allergies in Japanese female students. The study revealedthat 80% of students from heavy-smoking families showed sign of nasal allergies on physicalexaminations. Consider a sample of 25 Japanese female students exposed daily to heavysmoking.a. What is the probability that fewer than 20 of the students will have nasal allergies?b. What is the probability that more than 15 of the students will have nasal allergies?c. What is the probability that exactly 15 of the students will have a nasal allergy?
The recent pandemic has dramatically changed many of our lives in so many ways. From a public health perspective, there has been great interest in understanding the factors that might contribute to or directly impact the severity of CoVID-19. A researcher wishes to evaluate the severity of COVID-19 ("low" i.e., asymptomatic/mild or "high" i.e., severe/critical) for patients with different self-described smoking histories (current, former, or never smoker). In order to assess the possible relationship between CoVID-19 severity and patient smoking history, data for 354 COVID-19 patients from a local hospital were collected and are provided below. COVID-19 Severity Smoking History Low High Current 87 15 Former 43 9. Never 136 64 1 | Page S. Robinson
A store manager wants to determine if there is a relationship between the day of sale and the price of the item. The following data was obtained for the price of an item on particular days of the week. What is the expected value for a low priced item on Thursdays?
The grades of a freshman college class, obtained after the first year of college, were analyzed. Seventy percent of the students in the top quarter of the college class had graduated in the upper 10% of their high school class, as had 50% of the students in the middle half of the college class and 20% of the students in the bottom quarter of the college class.a. What is the probability that a randomly chosen freshman graduated in the upper 10% of his high school class?b. What is the probability that a randomly chosen freshman who graduated in the upper 10% of the high school class will be in the top quarter of the college class?c. What is the probability that a randomly chosen freshman who did not graduate in the upper 10% of the high school class will not be in the top quarter of the college class?
Christine Wong has asked Dave and Mike to help her move into a new apartment on Sunday morning. She has asked them both, in case one of them does not show up. From past experience, Christine knows that there is a 36% chance that Dave will not show up and a 26% chance that Mike will not show up. Dave and Mike do not know each other and their decisions can be assumed to be independent. a. What is the probability that both Dave and Mike will show up? (Round your answer to 2 decimal places.) Probability b. What is the probability that at least one of them will show up? (Round your answer to 2 decimal places.) Probability c. What is the probability that neither Dave nor Mike will show up? (Round your answer to 2 decimal places.) Probability
1. The American Journal of Public Health (July 1995) published a study of the relationshipbetween passive smoking and nasal allergies in Japanese female students. The study revealedthat 80% of students from heavy-smoking families showed sign of nasal allergies on physicalexaminations. Consider a sample of 25 Japanese female students exposed daily to heavysmoking. d. What is the probability that more than 15 of the students will NOT have nasal allergies?e. What is the probability that more than 15 but fewer than 20 will have nasal allergies?
Residents of certain regions were asked about their thoughts on national defense spending. The results are represented in the table below. Northeast Southeast Midwest West Increase defense spending 240 450 318 190 Keep spending the same 423 240 215 119 Decrease defense spending 324 240 365 344 What is the empirical probability that an individual desires decreased defense spending, given that they live in the Midwest? Answers should be percentages correct to two decimal places
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