"During the coronavirus disease 2019 (COVID19) crisis, there has been public outcry for mass screening of the population in hopes to control an actively unfolding event. To this date, there is one test that has assisted in the current crisis, real-time reverse transcriptase polymerase chain reaction (rRT- PCR). Although becoming more readily available, there are short comings to the test when placed in real world situations. The probability that the rRT- PCR correctly identi?es someone with COVID as negative is 0.13, and the probability that the test correctly identifies someone without COVID as negative is 0.99. The incidence of the COVID in the general population is 0.001. You take the test, and the result is positive. Let P denote the event that you have COVID. Let R denote the event that the rRT-PCR result is positive. What is the is the equivalent mathematical notation for 0.13? What is the is the equivalent mathematical notation for 0.99? What is the is the equivalent

"During the coronavirus disease 2019 (COVID19) crisis, there has been public outcry for mass screening of the population in hopes to control an actively unfolding event. To this date, there is one test that has assisted in the current crisis, real-time reverse transcriptase polymerase chain reaction (rRT- PCR). Although becoming more readily available, there are short comings to the test when placed in real world situations. The probability that the rRT- PCR correctly identi?es someone with COVID as negative is 0.13, and the probability that the test correctly identifies someone without COVID as negative is 0.99. The incidence of the COVID in the general population is 0.001. You take the test, and the result is positive. Let P denote the event that you have COVID. Let R denote the event that the rRT-PCR result is positive. What is the is the equivalent mathematical notation for 0.13? What is the is the equivalent mathematical notation for 0.99? What is the is the equivalent

Name: "During the coronavirus disease 2019 (COVID19) crisis, there has been
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Description: "During the coronavirus disease 2019 (COVID19) crisis, there has been public outcry for mass screening of the population in hopes to control an activelyunfolding event. To this date, there is one test that has assisted in the current crisis, real-ti

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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"During the coronavirus disease 2019 (COVID19) crisis, there has been public outcry for mass screening of the population in hopes to control an actively unfolding event. To this date, there is one test that has assisted in the current crisis, real-time reverse transcriptase polymerase chain reaction (rRT-PCR). Although becoming more readily available, there are short comings to the test when placed in real world situations. The probability that the rRT-PCR correctly identifies someone with COVID as positive is 0.87, and the probability that the test correctly identifies someone without COVID as negative is 0.99. The incidence of the people that still uninfected by COVID in the general population is 0.999. You take the test, and the result is positive. Let P denote the event that you have COVID. Let R denote the event that the rRT-PCR result is positive. What is the is the equivalent mathematical notation for 0.87? What is the is the equivalent mathematical notation for 0.99? What is…
During the coronavirus disease 2019 (COVID19) crisis, there has been a public outcry for mass screening of the population in hopes to control an actively unfolding event. To this date, there is one test that has assisted in the current crisis, real-time reverse transcriptase-polymerase chain reaction (rRT-PCR). Although becoming more readily available, there are shortcomings to the test when placed in real-world situations. The probability that the rRT-PCR correctly identifies someone with COVID as positive is 0.87, and the probability that the test incorrectly identifies someone without COVID as positive is 0.01. The incidence of COVID in the general population is 0.001. You take the test, and the result is positive. Let P denote the event that you have COVID. Let R denote the event that the rRT-PCR result is positive. d)What is the value of P(R)? e)What is the probability that you have the COVID?
During the coronavirus disease 2019 (COVID19) crisis, there has been a public outcry for mass screening of the population in hopes to control an actively unfolding event. To this date, there is one test that has assisted in the current crisis, real-time reverse transcriptase-polymerase chain reaction (rRT-PCR). Although becoming more readily available, there are shortcomings to the test when placed in real-world situations. The probability that the rRT-PCR correctly identifies someone with COVID as positive is 0.87, and the probability that the test incorrectly identifies someone without COVID as positive is 0.01. The incidence of COVID in the general population is 0.001. You take the test, and the result is positive. Let P denote the event that you have COVID. Let R denote the event that the rRT-PCR result is positive. a) What is the equivalent mathematical notation for 0.87? b) What is the equivalent mathematical notation for 0.01? c) What is the equivalent mathematical notation for…
Approximately 1% of the US population currently have active coronavirus. According to Johns Hopkins, a particular type of COVID test (RT-PCR), has a false negative rate of 20%. That is, if a person has COVID, and takes this test, there is a 20% chance of testing negative. The false positive rate is about 1% (more recent COVID tests have a false positive rates around .4%). That means that about 1% of people who don’t have COVID will nonetheless test positive. Consider the following two-way table for 1000 randomly selected people who were tested for COVID using (RT-PCR). Positive test Negative test Total Has COVID 8 2 10 No COVID 10 980 990 Total 18 982 1000 What is the probability of choosing someone who tested positive? What is the probability of choosing someone who has COVID? What is the probability of choosing someone who Doesn’t have COVID andtested positive? What is the probability of choosing someone with COVID given that they…
An article in the Journal of the American Medical Association documents the results of a randomized clinical trial designed to evaluate whether the influenza vaccine is effective in reducing the occurrence of acute Otitis media (AOM) in young children. Acute otitis media is an infection that causes inflammation of the middle ear canal. In the study, children were randomized to receive either the influenza vaccine or a placebo. The children were followed for one year after randomization, and monitored for AOM during this period. 262 children were randomized to the vaccine group, and 150 of these children experienced at least one incident of AOM during the follow-up period. 134 children were randomized to the placebo group, and 83 of these children experience at least one incident of AOM during the follow-up period. Estimate a 95% confidence interval for the proportion of children experiencing at least one incident of AOM in the group that received the Influenza Vaccine.Estimate a 95%…
In 2018 (prior to SARS-CoV-2), 48% of our then enrolled postgraduate university students worked while studying (either part-time or full-time). We conducted a random survey of our current postgraduate students to see if the working proportion had changed. We surveyed 80 of our postgraduate students and found that 46 were currently working in some capacity.
Recent scientific literature has suggested a link between exposure to the endocrine disruptor Bisphenol A (BPA) found ubiquitously in many plastic materials, and precocious puberty in adolescents. The transmission is maternal to child during the last weeks of gestation. Scientists can trace the presence of BPA in children for years after birth, and believe that it may be the cause for early onset of puberty in young girls. Suppose a researcher collects a SRS of 92 girls with high exposure rates of BPA and follows them through puberty. The sample average age of puberty was 9.7 years. Assume the national average age for onset of puberty is 11.2 years with a population standard deviation of 0.6 years. Does the researcher have sufficient evidence at the alpha level of 0.05 to determine if the exposure to BPA has led to a decreased age of puberty in girls? Show all 5 hypothesis testing steps
'During the coronavirus disease 2019 (COVID19) crisis, there has been public outcry for mass screening of the population in hopes to control an actively unfolding event. To this date, there is one est that has assisted in the current crisis, real-time reverse transcriptase polymerase chain reaction (rRT-PCR). Although becoming more readily available, there are short comings to the test when placed in real world situations. The probability that the rRT-PCR correctly identi?es someone with COVID as positive is 0.87, and the probability that the test incorrectly identifies someone without COVID as positive is 0.01. The incidence of the COVID in the general population is 0.001. You take the test, and the result is positive. Let P denote the event that you have COVID. Let R denote the event that the rRT-PCR result is positive. What is the is the equivalent mathematical notation for 0.87? What is the is the equivalent mathematical notation for 0.01? What is the is the equivalent mathematical…
A researcher is creating a new treatment protocol for Myelodysplastic Syndrome (MDS), a form of preleukemia. Following the old treatment protocol, 28% of patients with MDS will develop leukemia within 5 years of MDS diagnosis. He believes his new treatment protocol will lead to fewer MDS patients developing leukemia. He takes a random sample of 100 individuals on his new treatment protocol. Of these 100 individuals, 20 develop leukemia within 5 years of MDS diagnosis. Conduct a hypothesis test at the 10% level to test this claim that his new treatment protocol will lead to fewer MDS patients developing leukemia. What is the appropriate conclusion/interpretation for this hypothesis test? Write a few sentences.
Question 2: Until 2002, hormone replacement therapy (HRT), estrogen and/or progesterone, was commonly prescribed to post-menopausal women. This changed in 2002, when the results of a large clinical trial were published 8506 women were randomized to take HRT, 8102 were randomized to placebo. 166 HRT and 124 placebo women developed invasive breast cancer. Does HRT increase risk of breast cancer? Hint: Use randomization distribution to answer the question.
A researcher is creating a new treatment protocol for Myelodysplastic Syndrome (MDS), a form of preleukemia. Following the old treatment protocol, 28% of patients with MDS will develop leukemia within 5 years of MDS diagnosis. He believes his new treatment protocol will lead to fewer MDS patients developing leukemia. He takes a random sample of 100 individuals on his new treatment protocol. Of these 100 individuals, 20 develop leukemia within 5 years of MDS diagnosis. In questions 8-9, create a 98% confidence interval for the true proportion of all MDS patients on this new treatment who will develop leukemia within 5 years of MDS diagnosis. What is the confidence interval? Do not round your answer. What is the interpretation of your confidence interval?
According to the CDC, as of MAY 2021, it is suspected that 2% of the US population currently have active coronavirus. According to Johns Hopkins, a particular type of COVID test (RT-PCR), has a false negative rate of 20%. That is, if a person has COVID, and takes this test, there is a 20% chance of testing negative. The false positive rate is about 5%. That means that about 5% of people who don't have COVID will nonetheless test positive. Consider the following two-way table for 10,000 randomly selected people who were tested for COVID using (RT-PCR). Positive test Negative test Total Has COVID A 40 200 No COVID 490 B 9800 Total 10000 1. fill in the missing values in the table. A • B • C • D 2. What is the probability of choosing someone who tested positive? 3. What is the probability of choosing someone who has COVID? 4. What is the probability of choosing someone who does not have COVID and tested positive? 5. What is the probability of choosing someone with COVID given that they…