At a certain stage of a criminal investigation, the inspector in charge is60 percent convinced of the guilt of a certain suspect. Suppose now that a new piece ofevidence that shows that the criminal has a certain characteristic (such as left-handedness,baldness, brown hair, etc.) is uncovered. If 20 percent of the population possesses thischaracteristic, how certain of the guilt of the suspect should the inspector now be if it turnsout that the suspect is among this group?

Answered: Image /qna-images/answer/ade0994a-807a-4b8e-b66a-2e31b3984d56.jpg

Answered: At a certain stage of a criminal…

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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In an article that appears on a website,† Carlton Gunn, a public defender in Seattle, Washington, wrote about how he uses statistics in his work as an attorney. He states the following. I personally have used statistics in trying to challenge the reliability of drug testing results. Suppose the chance of a mistake in the taking and processing of a urine sample for a drug test is just 1 in 100. And your client has a "dirty" (i.e., positive) test result. Only a 1 in 100 chance that it could be wrong? Not necessarily. If the vast majority of all tests given—say 99 in 100—are truly clean, then you get one false dirty and one true dirty in every 100 tests, so that half of the dirty tests are false. Define the following events as given below. TD = event that the test result is dirty TC = event that the test result is clean D = event that the person tested is actually dirty C = event that the person tested is actually clean (a) Using the information in the quote, compute the following…
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Is the national crime rate really going down? Some sociologists say yes! They say that the reason for the decline in crime rates in the 1980s and 1990s is demographics. It seems that the population is aging, and older people commit fewer crimes. According to the FBI and the Justice Department, 70% of all arrests are of males aged 15 to 34 yearst. Suppose you are a sociologist in Rock Springs, Wyoming, and a random sample of police files showed that of 38 arrests last month, 24 were of males aged 15 to 34 years. Use a 10% level of significance to test the claim that the population proportion of such arrests in Rock Springs is different from 70%. (a) What is the level of significance? State the null and alternate hypotheses. O Ho: P = 0.7; H₁: p > 0.7 Ho: P = 0.7; H₁: P = 0.7 O Ho: P = 0.7; H₁: p 5 and nq > 5. O The Student's t, since np 5 and nq > 5. What is the value of the sample test statistic? (Round your answer to two decimal places.) (c) Find the P-value of the test statistic.…
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7. Forty adult males volunteered to participate in an experiment. Half of them are randomly assigned to take a caffeine supplement before working out, and the other half are assigned to take a placebo before completing the same workout. During the workout, heart rate monitors will be used to measure each participant’s heart rate. The study found that those who took a caffeine supplement had significantly higher average pulse rates during the workout. What conclusion can be drawn from the study? (A) Two experimental groups of 20 each is too small to conclude that the results are significant. (B) Those that took the caffeine supplement had a higher average heart rate during the workout, but it would not be correct to conclude that caffeine caused this to occur. (C) The caffeine supplements caused the heart rates to increase due to the placebo effect. (D) Caffeine supplements will, on average, raise the heart rates of all adult males during a workout similar to the one performed in the…
Is the national crime rate really going down? Some sociologists say yes! They say that the reason for the decline in crime rates in the 1980s and 1990s is demographics. It seems that the population is aging, and older people commit fewer crimes. According to the FBI and the Justice Department, 70% of all arrests are of males aged 15 to 34 years†. Suppose you are a sociologist in Rock Springs, Wyoming, and a random sample of police files showed that of 33 arrests last month, 27 were of males aged 15 to 34 years. Use a 5% level of significance to test the claim that the population proportion of such arrests in Rock Springs is different from 70%. a) What is the value of the sample test statistic? (Round your answer to two decimal places.) b) Find the P-value of the test statistic. (Round your answer to four decimal places.)
13) In a clinical study of an allergy drug, 115 of the 260 subjects reported experiencing significant relief from their symptoms. From the data, a 90% C.I. for the percentage of all subjects reported experiencing significant relief from their symptoms is (,blank ), blank (round to the 3rd decimal place).
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Is the national crime rate really going down? Some sociologists say yes! They say that the reason for the decline in crime rates in the 1980s and 1990s is demographics. It seems that the population is aging, and older people commit fewer crimes. According to the FBI and the Justice Department, 70% of all arrests are of males aged 15 to 34 years†. Suppose you are a sociologist in Rock Springs, Wyoming, and a random sample of police files showed that of 37 arrests last month, 22 were of males aged 15 to 34 years. Use a 10% level of significance to test the claim that the population proportion of such arrests in Rock Springs is different from 70%.
Is the national crime rate really going down? Some sociologists say yes! They say that the reason for the decline in crime rates in the 1980s and 1990s is demographics. It seems that the population is aging, and older people commit fewer crimes. According to the FBI and the Justice Department, 70% of all arrests are of males aged 15 to 34 yearst. Suppose you are a sociologist in Rock Springs, Wyoming, and a random sample of police files showed that of 34 arrests last month, 25 were of males aged 15 to 34 years. Use a 10% level of significance to test the daim that the population proportion of such arrests in Rock Springs is different from 70%. A USE SALT (a) What is the level of significance? State the null and alternate hypotheses. O H P 0.7 O H.: p - 0.7; H,: p 5 and ng > S. O The standard normal, since np > 5 and ng > 5. O The Student's t, since np
Is the national crime rate really going down? Some sociologists say yes! They say that the reason for the decline in crime rates in the 1980s and 1990s is demographics. It seems that the population is aging, and older people commit fewer crimes. According to the FBI and the Justice Department, 70% of all arrests are of males aged 15 to 34 years†. Suppose you are a sociologist in Rock Springs, Wyoming, and a random sample of police files showed that of 36 arrests last month, 22 were of males aged 15 to 34 years. Use a 5% level of significance to test the claim that the population proportion of such arrests in Rock Springs is different from 70%. (a) What is the level of significance?State the null and alternate hypotheses. H0: p < 0 .7; H1: p = 0.7H0: p = 0 .7; H1: p < 0.7 H0: p = 0.7; H1: p > 0.7H0: p ≠ 0.7; H1: p = 0.7H0: p = 0.7; H1: p ≠ 0.7 (b) What sampling distribution will you use? The standard normal, since np < 5 and nq < 5.The Student's t, since np > 5…

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