2. The Chinese Mini-Mental Status Test (CMMS) consists of 114 items intended to identify people withAlzheimer's disease and senile dementia among people in China. An extensive clinical evaluation of thisinstrument was performed, whereby participants were interviewed by psychiatrists and nurses and adefinitive diagnosis of d+nentia was made. The table below shows the results of the study.CMMS scoreNo DementiaDementia0-56-1011-1516-2021-2526-30Total003916184621453116Suppose a cutoff value of ≤ 20 on the test is used to identify people with dementia. Further assume therate of dementia in the population of interest is approximately 10%.a. What is the sensitivity of this test?b.What is the specificity of this test?c. Suppose your grandmother receives a negative test result. What are the chances that sheactually has dementia?

Answered: a. What is the sensitivity of this…

a. What is the sensitivity of this test? b. What is the specificity of this test? c. Suppose your grandmother receives a negative test result. What are the chances that she actually has dementia?

College Algebra (MindTap Course List)

12th Edition

ISBN:9781305652231

Author:R. David Gustafson, Jeff Hughes

Publisher:R. David Gustafson, Jeff Hughes

Chapter8: Sequences, Series, And Probability

Section8.7: Probability

Problem 58E: What is meant by the sample space of an experiment?

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What is meant by the sample space of an experiment?
3. Research suggests that depression significantly increases the risk of developing dementia later in life. Suppose that in a study involving 949 elderly persons, it was found that 22% of those who had depression went on to develop dementia, compared to only 17% of those who did not have depression. a) Describe the relevant population and the sample.b) Are the numbers 22% and 17% associated with the population or a sample?
In a study of violent victimization of women and men, Porcerelli et al. (A-2) collected information from 679 women and 345 men aged 18 to 64 years at several family practice centers in the metropolitan Detroit area. Patients filled out a health history questionnaire that included a question about victimization. The following table shows the sample subjects cross-classified by sex and the type of violent victimization reported. The victimization categories are defined as no victimization, partner victimization (and not by others), victimization by persons other than partners (friends, family members, or strangers), and those who reported multiple victimization. No Victimization Partners Nonpartners Multiple Victimization Total Women 611 34 16 18 679 Men 308 10 17 10 345 Total 919 44 33 28 1024 Source: Data provided courtesy of John H. Porcerelli, Ph.D., Rosemary Cogan, Ph.D. (a) Suppose we pick a subject at random from this group. What is the probability that this subject will be a…
In a study of violent victimization of women and men, Porcerelli et al. (A-2) collected information from 679 women and 345 men aged 18 to 64 years at several family practice centers in the metropolitan Detroit area. Patients filled out a health history questionnaire that included a question about victimization. The following table shows the sample subjects cross-classified by sex and the type of violent victimization reported. The victimization categories are defined as no victimization, partner victimization (and not by others), victimization by persons other than partners (friends, family members, or strangers), and those who reported multiple victimization. No Victimization Partners Nonpartners Multiple Victimization Total Women 611 34 16 18 679 Men 308 10 17 10 345 Total 919 44 33 28 1024 Source: Data provided courtesy of John H. Porcerelli, Ph.D., Rosemary Cogan, Ph.D. (d) If we pick a subject at random, what is the probability that the subject will be a woman and have…
An exercise science major is planning to investigate the hypothesis that diet plus exercise is more effective for weight loss than either diet or exercise alone. She will randomly assign participants to four different conditions based on diet (hi/lo cal) and high/low exercise level. Analysis: ? Ho: ?
Laveist and Nuru-Jeter (A-4) conducted a study to determine if doctor–patient race concordance was associated with greater satisfaction with care. Toward that end, they collected a national sample of African-American, Caucasian, Hispanic, and Asian-American respondents. The following table classifies the race of the subjects as well as the race of their physician: Patient’s Race African- Physician’s Race Caucasian American Hispanic Asian- American Total White 779 436African-American 14 162 15 5 196 Hispanic 19 17 128 2 166 Asian=Pacific-Islander 68 75 71 203 417 Other 3055564145 Total 910 745 676 389 2720 Source: Thomas A. Laveist and Amani Nuru-Jeter, “Is Doctor–Patient Race Concordance Associated with Greater Satisfaction with Care?” Journal of Health and Social Behavior, 43 (2002), 296–306.(a) What is the probability that a randomly selected subject will have an Asian=Pacific-Islander physician? (b) What is the probability that an African-American subject will have an…
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10. The research department at the home office of Superior Insurance conducts ongoing research on the causes of automobile accidents, the characteristics of the drivers, and so on. A random sample of 400 policies written on single persons revealed 120 had at least one accident in the previous three- year period. Similarly, a sample of 600 policies written on married persons revealed that 150 had been in at least one accident. At the 0.05 significance level, is there a significant difference in the proportions of single and married persons having an accident during a three-year period? Determine and interpret the p- value.
A researcher is conducting an experimental study on the effect of aspirin on heart attack risk. In order to assign who will receive aspirin and who will receive a placebo, she first divides her study into three age groups (18-29, 30-49, and 50 or older). She then randomly assigns individuals within these age groups to either receive aspirin or the placebo. This is an example of systemic?
In a survey of families in which both parents work, one of the questions asked was, “Have you refused a job, promotion, or transfer because it would mean less time with your family?” A total of 200 men and 200 women were asked this question. “Yes” was the response given by 29% of the men and 24% of the women. Based on this survey, can we conclude that there is a difference in the proportion of men and women responding “yes” at the 0.05 level of significance?
Do well-rounded people get fewer colds? A study on the Chronicle of Higher Education was conducted by scientist at Carnegie Mellon University, the University of Pittsburgh and the University of Virginia. They found that people who have only a few social outlets get more colds than those who are involved in a variety of social activities. Suppose that of the 276 healthy men and women tested, n1=96 had only a few social outlets and n2=105 were busy with six or more activities. When these people were exposed to a cold virus, the following results were observed: Construct a 99% confidence interval for the difference in the two population proportions.
10.24 The question of whether the sexual orientation of the mother has an impact on thesexual identity of her children was addressed in an article by Golombok and Tasker (1996).Twenty-five children of lesbian mothers and a control group of 21 children of heterosexual singlemothers were interviewed in their early twenties concerning their sexual orientation. The resultsof the interviews are given in the following table. Data were unavailable for 1 male child; thus,orientation is reported on only 20 children of heterosexual single mothers.Child’s OrientationMother’s Orientation Nonheterosexual HeterosexualLesbian 2 23Heterosexual 0 20a. What is the populations of interest in this study?b. Is the proportion of young adults identifying themselves as nonheterosexual higher for lesbian mothers than for heterosexual mothers? Use a 5 .05.c. Construct a 95% confidence interval on the difference in the two proportions of young adults who identify themselves as being heterosexual in their…