Fundamentals of Biostatistics
8th Edition
ISBN: 9781305268920
Author: Bernard Rosner
Publisher: Cengage Learning
expand_more
expand_more
format_list_bulleted
Videos
Textbook Question
Chapter 3, Problem 59P
The familial aggregation of respiratory disease is a well-established clinical phenomenon. However, whether this aggregation is due to genetic or environmental factors or both is somewhat controversial. An investigator wishes to study a particular environmental factor, namely the relationship of cigarette-smoking habits in the parents to the presence or absence of asthma in their oldest child age 5 to 9 years living in the household (referred to below as their offspring). Suppose the investigator finds that (1) if both the mother and father are current smokers, then the
Suppose, alternatively, that if the father is a current smoker, then the probability that the mother is a current smoker is .6; whereas if the father is not a current smoker, then the probability that the mother is a current smoker is .2. Also assume that statements 1, 2, 3, and 4 above hold.
What is the posterior probability that the mother is a current smoker if the child has asthma?
Expert Solution & Answer
Trending nowThis is a popular solution!
Students have asked these similar questions
Beryllium disease: Beryllium is an extremely lightweight metal that is used in many industries, such as aerospace and
electronics. Long-term exposure to beryllium can cause people to become sensitized. Once an individual is sensitized, continued
exposure can result in chronic beryllium disease, which involves scarring of the lungs. In a study of the effects of exposure to
beryllium, workers were categorized by their duration of exposure (in years) and by their disease status (diseased, sensitized, or
normal). The results were as follows:
Diseased
Sensitized
Normal
Send data to Excel
Duration of Exposure
1 to 5
19
15
204
Test the hypothesis of independence. Use the α = 0.10 level of significance and the P-value method with the TI-84 Plus calculator.
What do you conclude?
Beryllium disease: Beryllium is an extremely lightweight metal that is used in many industries, such as aerospace and electronics. Long-term exposure to beryllium can cause people to become sensitized. Once an individual is sensitized, continued exposure can result in chronic beryllium disease, which involves scarring of the lungs. In a study of the effects of exposure to beryllium, workers were categorized by their duration of exposure (in years) and by their disease status (diseased, sensitized, or normal). The results were as follows:
Duration of Exposure
<1
1
to
<5
≥5
Diseased
12
14
23
Sensitized
12
18
12
Normal
64
130
205
Test the hypothesis of independence. Use the =α0.01 level of significance and the P-value method with the TI-84 Plus calculator. What do you conclude?
Find P value
In August and September 2005, Hurricanes Katrina and Rita caused extraordinary flooding in New Orleans, Louisiana. Many homes were severely damaged or destroyed; of those that survived, many required extensive cleaning. It was thought that cleaning flood-damaged homes might present a health hazard due to the large amounts of mold present in many of the homes. The article “Health Effects of Exposure to Water-Damaged New Orleans Homes Six Months After Hurricanes Katrina and Rita” (K. Cummings, J. Cox-Ganser, et al., American Journal of Public Health, 2008:869–875) reports that in a sample of 365 residents of Orleans Parish who had participated in the cleaning of one or more homes, 77 had experienced symptoms of wheezing, and in a sample of 179 residents who had not participated in cleaning, 23 reported wheezing symptoms (numbers read from a graph). Can you conclude that the frequency of wheezing symptoms is greater among those residents who participated in the cleaning of flood-damaged…
Chapter 3 Solutions
Fundamentals of Biostatistics
Ch. 3.6 - What is the frequency definition of probability?Ch. 3.6 - What is the difference between independent and...Ch. 3.6 - What are mutually exclusive events?Ch. 3.6 - What is the addition law of probability?Ch. 3.6 - What is conditional probability? How does it...Ch. 3.6 - What is relative risk? How do you interpret it?Ch. 3.6 - Prob. B.1RECh. 3.6 - Suppose the rate of type II diabetes mellitus (DM)...Ch. 3.7 - What is the sensitivity and specificity of a...Ch. 3.7 - What are the PV+ and PV of a screening test? How...
Ch. 3.7 - Prob. C.3RECh. 3.7 - What is Bayes rule? How is it used?Ch. 3.7 - Prob. D.2RECh. 3.7 - Prob. D.3RECh. 3.7 - Prob. D.4RECh. 3.10 - Suppose that of 25 students in a class, 5 are...Ch. 3.10 - Suppose 50 HIV-positive men are identified, 5 of...Ch. 3 - Consider a family with a mother, father, and two...Ch. 3 - Consider a family with a mother, father, and two...Ch. 3 - Consider a family with a mother, father, and two...Ch. 3 - Consider a family with a mother, father, and two...Ch. 3 - Consider a family with a mother, father, and two...Ch. 3 - Consider a family with a mother, father, and two...Ch. 3 - Consider a family with a mother, father, and two...Ch. 3 - Consider a family with a mother, father, and two...Ch. 3 - Consider a family with a mother, father, and two...Ch. 3 - Consider a family with a mother, father, and two...Ch. 3 - Prob. 11PCh. 3 - Suppose an influenza epidemic strikes a city. In...Ch. 3 - Suppose there is a 20% chance each child will get...Ch. 3 - Suppose there is a 20% chance each child will get...Ch. 3 - Suppose there is a 20% chance each child will get...Ch. 3 - Mental Health Estimates of the prevalence of...Ch. 3 - Mental Health Estimates of the prevalence of...Ch. 3 - Mental Health Estimates of the prevalence of...Ch. 3 - Mental Health Estimates of the prevalence of...Ch. 3 - Estimates of the prevalence of Alzheimers disease...Ch. 3 - Estimates of the prevalence of Alzheimers disease...Ch. 3 - Estimates of the prevalence of Alzheimers disease...Ch. 3 - Estimates of the prevalence of Alzheimers disease...Ch. 3 - Estimates of the prevalence of Alzheimers disease...Ch. 3 - Estimates of the prevalence of Alzheimers disease...Ch. 3 - Suppose a study of Alzheimers disease is proposed...Ch. 3 - Suppose a study of Alzheimers disease is proposed...Ch. 3 - Commonly used vaccines for influenza are trivalent...Ch. 3 - Prob. 29PCh. 3 - Prob. 30PCh. 3 - Prob. 31PCh. 3 - Genetics Suppose that a disease is inherited via a...Ch. 3 - Genetics Suppose that a disease is inherited via a...Ch. 3 - Genetics Suppose that a disease is inherited via a...Ch. 3 - Prob. 35PCh. 3 - Prob. 36PCh. 3 - Suppose that a disease is inherited via an...Ch. 3 - Suppose that a disease is inherited via an...Ch. 3 - Prob. 39PCh. 3 - Suppose that a disease is inherited via a...Ch. 3 - Suppose that a disease is inherited via a...Ch. 3 - Suppose that a disease is inherited via a...Ch. 3 - Suppose that a disease is inherited via a...Ch. 3 - Prob. 44PCh. 3 - Prob. 45PCh. 3 - Prob. 46PCh. 3 - Prob. 47PCh. 3 - Prob. 48PCh. 3 - Prob. 49PCh. 3 - Obstetrics The following data are derived from the...Ch. 3 - Obstetrics The following data are derived from the...Ch. 3 - Obstetrics The following data are derived from the...Ch. 3 - Pulmonary Disease The familial aggregation of...Ch. 3 - Pulmonary Disease The familial aggregation of...Ch. 3 - Suppose, alternatively, that if the father is a...Ch. 3 - Suppose, alternatively, that if the father is a...Ch. 3 - Prob. 57PCh. 3 - The familial aggregation of respiratory disease is...Ch. 3 - The familial aggregation of respiratory disease is...Ch. 3 - The familial aggregation of respiratory disease is...Ch. 3 - The familial aggregation of respiratory disease is...Ch. 3 - Pulmonary Disease The familial aggregation of...Ch. 3 - Pulmonary Disease The familial aggregation of...Ch. 3 - Genetics, Obstetrics Precise quantification of...Ch. 3 - Precise quantification of smoking during pregnancy...Ch. 3 - Precise quantification of smoking during pregnancy...Ch. 3 - What is another name for this quantity? Suppose it...Ch. 3 - Research into cigarette-smoking habits, smoking...Ch. 3 - Research into cigarette-smoking habits, smoking...Ch. 3 - Research into cigarette-smoking habits, smoking...Ch. 3 - Research into cigarette-smoking habits, smoking...Ch. 3 - Research into cigarette-smoking habits, smoking...Ch. 3 - Research into cigarette-smoking habits, smoking...Ch. 3 - Pulmonary Disease Research into cigarette-smoking...Ch. 3 - Pulmonary Disease Research into cigarette-smoking...Ch. 3 - Laboratory measures of cardiovascular reactivity...Ch. 3 - Laboratory measures of cardiovascular reactivity...Ch. 3 - Laboratory measures of cardiovascular reactivity...Ch. 3 - The data set in Table 3.12 is based on 214...Ch. 3 - The data set in Table 3.12 is based on 214...Ch. 3 - The data set in Table 3.12 is based on 214...Ch. 3 - A drug company is developing a new pregnancy-test...Ch. 3 - A drug company is developing a new pregnancy-test...Ch. 3 - A drug company is developing a new pregnancy-test...Ch. 3 - Gynecology A drug company is developing a new...Ch. 3 - The Chinese Mini-Mental Status Test (CMMS)...Ch. 3 - The Chinese Mini-Mental Status Test (CMMS)...Ch. 3 - Mental Health The Chinese Mini-Mental Status Test...Ch. 3 - Construct an ROC curve based on the table...Ch. 3 - Mental Health The Chinese Mini-Mental Status Test...Ch. 3 - Calculate the area under the ROC curve. Interpret...Ch. 3 - Demography A study based on data collected from...Ch. 3 - Prob. 94PCh. 3 - Demography A study based on data collected from...Ch. 3 - Demography A study based on data collected from...Ch. 3 - Prob. 97PCh. 3 - The 4 allele of the gene encoding apolipoprotein E...Ch. 3 - Mental Health The 4 allele of the gene encoding...Ch. 3 - Mental Health The 4 allele of the gene encoding...Ch. 3 - Cardiovascular Disease A fascinating subject of...Ch. 3 - Cardiovascular Disease A fascinating subject of...Ch. 3 - Are these proportions prevalence rates, incidence...Ch. 3 - Prob. 104PCh. 3 - A dominantly inherited genetic disease is...Ch. 3 - A dominantly inherited genetic disease is...Ch. 3 - Prob. 107PCh. 3 - Infectious Disease, Cardiovascular Disease A...Ch. 3 - Infectious Disease, Cardiovascular Disease A...Ch. 3 - Infectious Disease, Cardiovascular Disease A...Ch. 3 - Prob. 114PCh. 3 - Genetics Suppose a birth defect has a recessive...Ch. 3 - A further study finds that after 10 generations...Ch. 3 - A further study finds that after 10 generations...Ch. 3 - Orthopedics Piriformis syndrome is a pelvic...Ch. 3 - Prob. 119PCh. 3 - Orthopedics Piriformis syndrome is a pelvic...Ch. 3 - Prob. 121PCh. 3 - Cancer Breast cancer is considered largely a...Ch. 3 - Cancer Breast cancer is considered largely a...Ch. 3 - Cancer Breast cancer is considered largely a...Ch. 3 - Prob. 125PCh. 3 - Cardiovascular Disease Mayo Clinic investigators...Ch. 3 - Prob. 127PCh. 3 - Prob. 128PCh. 3 - Prob. 129PCh. 3 - Prob. 130PCh. 3 - Prob. 131PCh. 3 - Prob. 132PCh. 3 - Radiology Mobile displays have the potential to...Ch. 3 - Radiology Mobile displays have the potential to...Ch. 3 - Prob. 135PCh. 3 - Prob. 136PCh. 3 - Prob. 137PCh. 3 - Cardiovascular Disease The ankle-arm...Ch. 3 - Cardiovascular Disease The ankle-arm...Ch. 3 - Cardiovascular Disease The ankle-arm...Ch. 3 - Prob. 141PCh. 3 - Prob. 142PCh. 3 - Prob. 143PCh. 3 - Obstetrics, Health Promotion A study was performed...
Knowledge Booster
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, statistics and related others by exploring similar questions and additional content below.Similar questions
- Urban Travel Times Population of cities and driving times are related, as shown in the accompanying table, which shows the 1960 population N, in thousands, for several cities, together with the average time T, in minutes, sent by residents driving to work. City Population N Driving time T Los Angeles 6489 16.8 Pittsburgh 1804 12.6 Washington 1808 14.3 Hutchinson 38 6.1 Nashville 347 10.8 Tallahassee 48 7.3 An analysis of these data, along with data from 17 other cities in the United States and Canada, led to a power model of average driving time as a function of population. a Construct a power model of driving time in minutes as a function of population measured in thousands b Is average driving time in Pittsburgh more or less than would be expected from its population? c If you wish to move to a smaller city to reduce your average driving time to work by 25, how much smaller should the city be?arrow_forwardA healthcare provider notices an outbreak of foodborne illness among individuals who attended a holiday cookout. Which study type would be most beneficial in identifying the source of the outbreak?arrow_forwardBased on a graph below which of the following statement describes the best types of associations between Factors A, C, and D and the Disease: (choose one best answer) Factor Factor C Disease Factor A O Factor A is sufficient but not necessary, while Factors C and D and neither sufficient not necessary. O Factors A, C and D are neither sufficient nor necessary. O Factor A is necessary but not sufficient, while Factors C and D are necessary but not sufficient. O Factor A is sufficient but not necessary, while Factors C and D are neither sufficient not necessary.arrow_forward
- For a variety of reasons, self-reported disease outcomes are frequently used without verification in epidemiologic research. In a study by Parikh-Patel et al. (A-12), researchers looked at the relationship between self-reported cancer cases and actual cases. They used the self-reported cancer data from a California Teachers Study and validated the cancer cases by using the California Cancer Registry data. The following table reports their findings for breast cancer: Cancer Reported (A) Yes No Total Cancer in Registry (B) 2991 112 3103 Cancer Not in Registry 2244 115849 118093 Total 5235 115961 121196 10. 11. Source: Arti Parikh-Patel, Mark Allen, William E. Wright, and the California Teachers Study Steering Committee, “Validation of Self-reported Cancers in the California Teachers Study,” American Journal of Epidemiology, 157 (2003), 539–545. (a) Let A be the event of reporting breast cancer in the California Teachers Study. Find the probability of A in this study. (b)…arrow_forwardFor a variety of reasons, self-reported disease outcomes are frequently used without verification in epidemiologic research. In a study by Parikh-Patel et al. (A-12), researchers looked at the relationship between self-reported cancer cases and actual cases. They used the self-reported cancer data from a California Teachers Study and validated the cancer cases by using the California Cancer Registry data. The following table reports their findings for breast cancer: Cancer Reported (A) Yes No Total Cancer in Registry (B) 2991 112 3103 Cancer Not in Registry 2244 115849 118093 Total 5235 115961 121196 10. 11. Source: Arti Parikh-Patel, Mark Allen, William E. Wright, and the California Teachers Study Steering Committee, “Validation of Self-reported Cancers in the California Teachers Study,” American Journal of Epidemiology, 157 (2003), 539–545. (g) Find the specificity of using self-reported breast cancer as a predictor of actual breast cancer in the California registry.arrow_forwardFor a variety of reasons, self-reported disease outcomes are frequently used without verification in epidemiologic research. In a study by Parikh-Patel et al. (A-12), researchers looked at the relationship between self-reported cancer cases and actual cases. They used the self-reported cancer data from a California Teachers Study and validated the cancer cases by using the California Cancer Registry data. The following table reports their findings for breast cancer: Cancer Reported (A) Yes No Total Cancer in Registry (B) 2991 112 3103 Cancer Not in Registry 2244 115849 118093 Total 5235 115961 121196 10. 11. Source: Arti Parikh-Patel, Mark Allen, William E. Wright, and the California Teachers Study Steering Committee, “Validation of Self-reported Cancers in the California Teachers Study,” American Journal of Epidemiology, 157 (2003), 539–545. (d) FindðAjBÞ (e) Find PðB j AÞ (f) Find the sensitivity of using self-reported breast cancer as a predictor of actual…arrow_forward
- Immunization of Schoolchildren. In the article, “Reasons for Non-uptake of Measles, Mumps, and Rubella Catch Up Immunisation in a Measles Epidemic and Side Effects of the Vaccine” (British Medical Journal, Vol. 310, pp. 1629–1632), R. Roberts et al. discussed a follow-up survey to examine why almost 10,000 children, ages 11–15, whose records showed no previous immunization were not immunized. In the survey, 10 of the 46 schools participating in the immunization campaign were randomly chosen and then the parents of all the nonimmunized children at the 10 selected schools were sent a questionnaire. What type of sampling design was used by these authors in their survey? Explain your answer.arrow_forwardHurricane damage: In August and September 2005 , Hurricanes Katrina and Rita caused extraordinary flooding in New Orleans, Louisiana. Many homes were severely damaged or destroyed, and of those that survived, many required extensive cleaning. It was thought that cleaning flood-damaged homes might present a health hazard due to the large amounts of mold present in many of the homes. In a sample of 370 residents of Orleans Parish who had participated in the cleaning of one or more homes, 65 had experienced symptoms of wheezing, and in a sample of 173 residents who had not participated in the cleaning, 22 reported wheezing symptoms (numbers read from a graph). Can you conclude that the proportion of residents with wheezing symptoms is greater among those who participated in the cleaning of flood-damaged homes? Let p1 denote the proportion of residents with wheezing symptoms who had cleaned flood-damaged homes and p2 denote the proportion of residents with wheezing symptoms…arrow_forwardwhich of the following individuals is likely to be excluded from a clinical trial? a-individual with other diseases besides the disease of interest b-an individual whose data is considered to be an outlier c-an individual of who is considered to be a minority d-an individual who will have difficulty complying trial protocols.arrow_forward
- Cardiovascular disease is a major cause of death and illness worldwide, with high blood pressure and high LDL cholesterol both being established risk factors. Because most cardiovascular events occur in persons with average risk and no previous cardiovascular disease history, the present research examined the simultaneous use of both blood pressure‑reducing drugs and cholesterol‑reducing drugs on this population rather than focus on only those at high risk. Subjects included men at least 55 years old and women at least 65 years old without cardiovascular disease who had at least one additional risk factor besides age, such as recent or current smoking, hypertension, or family history of premature coronary heart disease. Those with current cardiovascular disease were excluded from the study. Subjects were randomly assigned to the treatment (cholesterol‑ and blood pressure‑reducing drugs) or a placebo, and the number suffering the primary outcome of a fatal cardiovascular event or a…arrow_forwardIn 2010, Dr. Bob decided to gather research on the type of disorders that present among his patients. His data collection resulted in the following breakdown of patients by disorder: 54.9% Schizophrenia; 21.1% Major Depression; 7.9% Obsessive-Compulsive Disorder; 4.5% Anxiety Disorder; 2.9% Personality Disorder; 8.8% Other. Information was collected from a random sample Of 300 patients in 2018 to determine whether or not the data has changed significantly. The sample data is given in the table below. At the a = 0.10 level of significance, test the claim that the disorder breakdown of patients at Dr. Bob's hospital has not changed significantly since 2010. Which would be correct hypotheses for this test? Ho: P1 = P2; H₁: P₁ P2 © Ha: t1 = Uz; Hư:1# 02 ⒸHO: The breakdown of patients by disorder has changed significantly since 2010 (i.e. the given distribution no longer fits); H₁: The breakdwon of patients by disorder has not changed significantly since 2010 (i.e. the given distribution…arrow_forward
arrow_back_ios
arrow_forward_ios
Recommended textbooks for you
Linear Algebra: A Modern IntroductionAlgebraISBN:9781285463247Author:David PoolePublisher:Cengage Learning
Functions and Change: A Modeling Approach to Coll...AlgebraISBN:9781337111348Author:Bruce Crauder, Benny Evans, Alan NoellPublisher:Cengage Learning
Big Ideas Math A Bridge To Success Algebra 1: Stu...AlgebraISBN:9781680331141Author:HOUGHTON MIFFLIN HARCOURTPublisher:Houghton Mifflin Harcourt
Glencoe Algebra 1, Student Edition, 9780079039897...AlgebraISBN:9780079039897Author:CarterPublisher:McGraw Hill
Linear Algebra: A Modern Introduction
Algebra
ISBN:9781285463247
Author:David Poole
Publisher:Cengage Learning
Functions and Change: A Modeling Approach to Coll...
Algebra
ISBN:9781337111348
Author:Bruce Crauder, Benny Evans, Alan Noell
Publisher:Cengage Learning
Big Ideas Math A Bridge To Success Algebra 1: Stu...
Algebra
ISBN:9781680331141
Author:HOUGHTON MIFFLIN HARCOURT
Publisher:Houghton Mifflin Harcourt
Glencoe Algebra 1, Student Edition, 9780079039897...
Algebra
ISBN:9780079039897
Author:Carter
Publisher:McGraw Hill
Chi Square test; Author: Vectors Academy;https://www.youtube.com/watch?v=f53nXHoMXx4;License: Standard YouTube License, CC-BY