A screening test for a newly discovered disease is being evaluated. To determine the effectiveness of the new test, it was administered to 880 workers, and 120 of theindividuals diagnosed with the disease tested positive.A negative test finding occurred in 50 people who had the disease. A total of 40 persons not diseased tested positive for it.Construct a 2 x 2 table similar to Table 12-1 and calculate the following:1. Prevalence of the disease2. Sensitivity3. Specificity4. Predictive value positive5. Predictive value negative6. Likelihood ratio positive7. Likelihood ratio negative8. Overall accuracy.

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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 college administrator wants to know if there is a significant difference between sexual orientation and level of family support for students at their college. The administrator takes a random sample of students who identify as gay/lesbian, bisexual or heterosexual/straight. There were 22 students sampled in each category. A measure of family support is given with higher scores indicating more family support. The means are as follows: Gay/lesbian Bisexual Heterosexual/Straight MG/L = 16 MBi = 17 MH/S = 22 Source SS df MS F Orientation 300 Error 2961 Total What is the value of the F-statistic?
The recidivism rate for convicted sex offenders is 15%. A warden suspects that this percent is higher if the sex offender is also a drug addict. Of the 377 convicted sex offenders who were also drug addicts, 64 of them became repeat offenders. What can be concluded at the a = 0.01 level of significance?
A psychologist has tested 400 people on areas that make up the Sleepiness and Associated Sensations Scale. Each individualis employed in one of four professions (Medical, Legal, Economics and Psychology). Each subject participates in astructured interview, during which the clinical psychologist makes ratings based on fatigue, lethargy, and energy.The data with the results can be found in the sheet labelled “Question 2”.a. Conduct the relevant test to determine if the individual items that make up the Sleepiness and Associated SensationsScale differs based on profession. b. Test the relevant assumptions associated with this test. c. JASP input and output files.
A college administrator wants to know if there is a significant difference between sexual orientation and level of family support for students at their college. The administrator takes a random sample of students who identify as gay/lesbian, bisexual or heterosexual/straight. There were 22 students sampled in each category. A measure of family support is given with higher scores indicating more family support. The means are as follows: Gay/lesbian Bisexual Heterosexual/Straight MG/L = 16 MBi = 17 MH/S = 22 Source SS df MS F Orientation 300 Error 2961 Total What is the value of MS error?
Researchers at a local public health office are interested in the difference in prevalence of sickle cell anemia by ethnicity in a population under its jurisdiction. Suppose the following table represents prevalence of sickle cell anemia reported based on a thorough survey. Ethnicity Prevalence of Sickle Cell African-American =242/1049 Other =165/1864 Calculate the risk difference between the groups.
A new drug for pain relief is being tested within a given palliative care population. The new drug is being compared to an already approved pain relief drug that is commonly used in providing palliative care to patients who experience chronic severe pain. Assume the patients are asked to rate the pain on a scale from 1 to 10, and the data presented below was obtained from a small study designed to compare the effectiveness of the two drugs. Set up and interpret the results of a Mann-Whitney U test with an alpha of .05. Pain Rating as Reported by Patients Old Drug 1 3 3 4 6 New Drug 1 2 3 3 7 A) We fail to reject H0, which states the two populations are equal at the alpha equals .05 level because the calculated Uvalue of 10.5 is greater than the critical U value of 2. B) We fail to reject H0, which states the two populations are equal at the alpha equals .05 level…
Two methods of determining fat content in milk are being tested. Samples are taken from 6 different milk cartons and both methods are used on a sample from each container. The readings are Carton 1 2 3 4 5 6 Method A: 2.2 1.7 2.0 1.9 2.1 2.3 Method B: 1.8 2.1 1.9 1.4 2.1 1.7 (A-B) 4 -4.1 50 .6 From Minitab Output: N Method A Method B 6 6 Mean 2.033 1.833 StDev .216 .266 Difference 6 .200 .374 To test the null hypothesis Ho that there is no difference in the two methods of determining fat content, the lowest level of significance to reject the null hypothesis is: OA: 0.20 B: 0.15 OC: 0.25 OD: 0.10 E: 0.05
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A county environmental agency suspects that the fish in a particular polluted lake have elevated mercury levels. To confirm that suspicion, five striped basses in that lake were caught and their tissues were tested for mercury. For the purpose of comparison, four striped basses in an unpolluted lake were also caught and tested. The fish tissue mercury levels in mg/kg are given below. Sample I(From Polluted Lake) 0.523 0.723 0.523 0.623 0.523 Sample II(From Unpolluted Lake) 0.323 0.223 0.523 0.323 0.000 (a) Construct the 95% confidence interval for the difference in the population means based on these data. (b) Test, at the 5% level of significance, whether the data provide sufficient evidence to conclude that fish in the polluted lake have elevated levels of mercury in their tissue.
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The impact of a low-calorie diet on laboratory mice's longevity is being investigated by a medical researcher. Twenty mice are split into two groups (E and F) by random. A typical diet is given to Group E, while Group F is given a diet that only contains 70% as many calories as Group E's diet. The length of life (in days) of each mouse over the 36-month trial is documented. Table 2 provides the data that was obtained. The symbol of double star (**) signifies that the mouse was still alive at the end of the investigation. (a) (b) (c) Table 2: The length of life (in days) of each mouse Group E 900 907 751 833 920 787 830 877 848 901 Group F 1037 905 1023 988 1078 1011 ** 1063 898 1033 State a suitable null and alternative hypotheses for the problem. At 5% significance level, test the hypotheses in part (a) by using an appropriate nonparametric test. Write your conclusion.

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