There is a screening test for prostate cancer that looks at the level of PSA (prostate-specific antigen) in the blood. There are a number of reasons besides prostate cancer thata man can have elevated PSA levels. In addition, many types of prostate cancer developso slowly that that they are never a problem. Unfortunately there is currently no testto distinguish the different types and using the test is controversial because it is hard toquantify the accuracy rates and the harm done by false positives.For this problem we'll call a positive test a true positive if it catches a dangerous type ofprostate cancer. We'll assume the following numbers:Rate of prostate cancer among men over 50 = 0.0005True positive rate for the test = 0.9False positive rate for the test = 0.01Let T be the event a man has a positive test and let D be the event a man has a dangeroustype of the disease. Find P(D|T) and P(DTC).

Answered: Image /qna-images/answer/fcceea4c-abff-467d-b832-afd4252fab97.jpg

Answered: There is a screening test for prostate…

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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A common idea is that people can temporarily postponed death to survive a major holiday or important event. A study found that there were 6907 deaths before Thanksgiving and 5739 deaths after Thanksgiving. Test the claim at the 0.05 significance level that the proportion of deaths in the week before Thanksgiving is less that 0.5. Based on your result, does it appear that peole can temporarily postpone death to survive the Thanksgiving holiday?
researcher suspects that the actual prevalence of generalized anxiety among children and adolescents is higher than the previously reported prevalence of generalized anxiety disorder among children and adolescents. The previously reported prevalence of generalized anxiety disorder among children and adolescents is 3.9%, and the researcher conducts a study to test the accuracy of the previously reported prevalence of generalized anxiety disorder by recruiting 98 children and adolescents from various pediatricians' offices and tests them for generalized anxiety disorder using the DSM-5. The researcher determines that the prevalence of generalized anxiety disorder among the participants of the study is 6.1%. What should the researcher's conclusion be for a 5% significance level? A. We reject H0 at the 5% level because -57.53 is less than -1.96. We do have statistically significant evidence to show the actual prevalence of generalized anxiety disorder among children and adolescents…
A new chemical has been found to be present in the human blood stream, and a medical group would like to study the presence of this chemical in some samples of patients. The presence of the chemical in a patient is measured by a score representing the 'parts per billion' in which that chemical appears in the blood. It is known that, on this scale, men have an average score of 809.5 and a standard deviation of 53. It is also known that women have an average score of 833.53 and a standard deviation of 30. An assistant in the medical team has been handed a sample of 100 scores. The assistant knows that all of the scores are from one of the two genders, but the sample was not documented very well and so they do not which gender this is. Within the sample, the mean score is 820.63. a)Complete the following statements. Give your answers to 1 decimal place. If the sample came from a group of 100 men, then the sample mean is "blank" standard deviations above the mean of the sampling…
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A study was conducted to examine how anxiety (measured on a metric scale) varies for people from different age groups (<18 years, 19 - 29 years, 30 - 39 years, 40+ years). It was hypothesised that people <18 years old would have the least anxiety of the four age groups. It was also hypothesised that people 40+ years old would have more anxiety than people 19-29 years old. Which of the following would be an appropriate statistical test to conduct, which addresses these hypotheses? Group of answer choices: Factorial ANOVA Multiple Regression Mixed ANOVA Single factor ANOVA Within Subjects ANOVA
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Imagine you need to come up with a diagnostic test to monitor the viral load of patients with HIV. If the viral load is higher than a set standard, there is evidence the anti-retroviral therapy is no longer working and the patient needs to be moved to a different therapy that costs more money. Thus, false positives incur higher costs. However, if the test misses higher than normal viral loads (for patients in treatment), then the patient runs the risk of developing AIDS. Hence, false negatives result in a likely deadly disease. How would you balance these two types of error in devising your test? Minimize beta by raising the one-tailed alpha, since greater power will reduce false negatives and save patients O Minimize the one-tailed alpha, since lower P-values indicate the test is highly significant and prevent prematurely switching the patients Minimize the one-tailed alpha and beta, since this action will prevent prematurely switching the patients and reduce false negatives, thereby…
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Photon is a training device that is designed to improve a user's reaction time. Similar devices have been criticized for being too easy to master, but the makers of Photon say that their device is built to give most users room to improve. The makers say that even among professional athletes, the proportion, , who can score the top ranking of "light speed" is less than 16%. A random sample of 110 professional athletes is chosen, and 14 score a ranking of "light speed" while using the device.Complete the parts below to perform a hypothesis test to see if there is enough evidence, at the level of significance, to support the claim that the proportion of all professional athletes who can score a ranking of "light speed" is less than 16% .

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