Upon arrival at a hospital’s emergency room, patients are categorized according to their condition as critical, serious, or stable. In the past year: 10% of the emergency room patients were critical; 30% of the emergency room patients were serious; the rest of the emergency room patients were stable; (i) (ii) (iii) (iv) 40% of the critical patients died; (vi) 10% of the serious patients died; and (vii) 1% of the stable patients died. Given that a patient survived, calculate the probability that the patient was categorized as serious upon arrival.
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- A health statistics agency in a certain country tracks the number of adults who have health insurance. Suppose according to the agency, the uninsured rates in a recent year are as follows: 5.2% of those under the age of 18, 12.7% of those ages 18-64, and 1.3% of those 65 and older do not have health insurance. Suppose 22.4% of people in the county are under age 18, and 61.9 % are ages 18-64. (a) What is the probability that a randomly selected person in this country is 65 or older? 157 (b) Given that a person in this country is uninsured, what is the probability that the person is 65 or older? (Round your answer to three decimal places.) x Submit AnswerAn insurance company offers four different deductible levels-none, low, medium, and high-for its homeowner's policyholders and three different levels-low, medium, and high-for its automobile policyholders. The accompanying table gives proportions for the various categories of policyholders who have both types of insurance. For example, the proportion of individuals with both low homeowner's deductible and low auto deductible is 0.05 (5% of all such individuals). Homeowner's N L M н Auto L 0.04 0.05 0.05 0.02 M 0.07 0.11 0.20 0.11 0.02 0.03 0.15 0.15 Suppose an individual having both types of policies is randomly selected. (a) What is the probability that the individual has a medium auto deductible and a high homeowner's deductible? (b) What is the probability that the individual has a low auto deductible? A low homeowner's deductible? auto deductible homeowner's deductible (c) What is the probability that the individual is in the same category for both auto and homeowner's deductibles?…An insurance company offers four different deductible levels—none, low, medium, and high—for its homeowner's policyholders and three different levels—low, medium, and high—for its automobile policyholders. The accompanying table gives proportions for the various categories of policyholders who have both types of insurance. For example, the proportion of individuals with both low homeowner's deductible and low auto deductible is 0.07 (7% of all such individuals). Homeowner's Auto N L M H L 0.04 0.07 0.05 0.01 M 0.07 0.08 0.20 0.13 H 0.02 0.03 0.15 0.15 Suppose an individual having both types of policies is randomly selected. (d) Based on your answer in part (c), what is the probability that the two categories are different?(e) What is the probability that the individual has at least one low deductible level?(f) Using the answer in part (e), what is the probability that neither deductible level is low?
- An insurance company offers four different deductible levels-none, low, medium, and high-for its homeowner's policyholders and three different levels-low, medium, and high-for its automobile policyholders. The accompanying table gives proportions for the various categories of policyholders who have both types of insurance. For example, the proportion of individuals with both low homeowner's deductible and low auto deductible is 0.07 (7% of all such individuals). Auto L M H Homeowner's NLMH Suppose an individual having both types of policies is randomly selected. (a) What is the probability that the individual has a medium auto deductible and a high homeowner's deductible? 0.04 0.07 0.05 0.02 0.07 0.09 0.20 0.11 0.02 0.03 0.15 0.15 (b) What is the probability that the individual has a low auto deductible? A low homeowner's deductible? auto deductible homeowner's deductible (c) What is the probability that the individual is in the same category for both auto and homeowner's deductibles?…Alcohol abuse has been described by college presidents as the number one problem on campus, and it is an important cause of death in young adults. How common is it? A survey of 10,904 randomly selected U.S. college students collected information on drinking behavior and alcohol-related problems. The researchers defined “frequent binge drinking” as having five or more drinks in a row three or more times in the past two weeks. According to this definition, 2486 students were classified as frequent binge drinkers. Construct and interpret a 99% confidence interval for the proportion of students who are classified as binge drinkers. (Use the four-step process and Table A to get your z* value.) Using the interval that you calculated in the last question, conclude in context for the question.Suppose that in a survey of 1,000 U.S. residents, 721 residents believed that the amount of violent television programming had increased over the past 10 years, 454 residents believed that the overall quality of television programming had decreased over the past 10 years, and 362 residents believed both. What proportion of the 1,000 U.S. residents believed that either the amount of violent programming had increased or the overall quality of programming had decreased over the past 10 years? (Round your answer to 3 decimal places.)
- In a study researching how donating to charity can affect a person's happiness, 96 participants were given $5 a day for one week. Each participant was randomly assigned to one of two groups. Those assigned to the first group were asked to spend the money on themselves, and those assigned to the second group were asked to donate the money to charity. At the end of the week, all of the participants were asked to rate their overall level of happiness on a scale from 0 to 100, with higher scores indicating greater levels of happiness. Which of the following are the appropriate null and alternative hypotheses to test whether the sample data provide convincing statistical evidence that donating to charity results in greater happiness than spending on oneself, on average? Ho self- "charity = 0 (A) Ha self charity >0 Ho self Mcharity=0 (B) Ha self charity 0 (E) Ha self = Mcharity <0A health statistics agency in a certain country tracks the number of adults who have health insurance. Suppose according to the agency, the uninsured rates in a recent year are as follows: 5.2% of those under the age of 18, 12.9% of those ages 18-64, and 1.3% of those 65 and older do not have health insurance. Suppose 22.4% of people in the county are under age 18, and 62.3% are ages 18-64. (a) What is the probability that a randomly selected person in this country is 65 or older? 15.3 (b) Given that a person in this country is uninsured, what is the probability that the person is 65 or older? (Round your answer to three decimal places.) 0.023 XThe Women’s Institutional Studies group at a Midwestern university wanted to compare the percentages of female faculty members in the various units on campus in Spring 2004. Of particular interest were the percentages of female faculty in the College of Education and in the College of Business . In a sample of 80 College of Education faculties, there were 36 females, and in a sample of 70 College of Business faculties, there were 15 females. Based upon this sample information, which of the following is the 98% confidence interval for the difference in the actual percentages of female faculty between College of Education and College of Business ? a. (0.075, 0.405). b. (0.123, 0.357). c. (-0.012, 0.252). d. (0.058, 0.422). e. (0.101, 0.379).
- Since 1999, The Harris Poll has conducted an annual survey to measure the reputations of the most visible companies in the United States, as perceived by U.S. adults. The Harris Poll uses a sample of about 23,000 U.S. adults for the survey. The survey respondents rate companies according to 20 attributes that are classified into six categories: (1) social responsibility, (2)vision and leadership, (3)financial Performance ,(4)products and services, (5) emotional appeal, and (6) workplace environment. This information is used to determine the reputation of a company. Reputations of 10 Companies in the U.S. Company Name Year Company formed Reputation Industry Number of Employees Amazon.com 1994 Excellent Retail 230,800 Apple Inc 1977 Excellent Computer and peripherals 116,000 Netflix Inc 1999 Very good Internet Television 4,700 The Kraft Heinz Co 2015 Very good Food products 41,000 Facebook Inc 2004 good Internet…An insurance company offers four different deductible levels—none, low, medium, and high—for its homeowner's policyholders and three different levels—low, medium, and high—for its automobile policyholders. The accompanying table gives proportions for the various categories of policyholders who have both types of insurance. For example, the proportion of individuals with both low homeowner's deductible and low auto deductible is 0.07 (7% of all such individuals). Homeowner's Auto N L M H L 0.04 0.07 0.05 0.01 M 0.07 0.11 0.20 0.10 H 0.02 0.03 0.15 0.15 Suppose an individual having both types of policies is randomly selected. (a) What is the probability that the individual has a medium auto deductible and a high homeowner's deductible?(b) What is the probability that the individual has a low auto deductible? A low homeowner's deductible? auto deductible homeowner's deductible (c) What is the probability that the individual is in the same…A research group conducted an extensive survey of 2940 wage and salaried workers on issues ranging from relationships with their bosses to household chores. The data were gathered through hour-long telephone interviews with a nationally representative sample. In response to the question, "What does success mean to you?" 1470 responded, "Personal satisfaction from doing a good job." Let p be the population proportion of all wage and salaried workers who would respond the same way to the stated question. How large a sample is needed if we wish to be 95% confident that the sample percentage of those equating success with personal satisfaction is within 1.6% of the population percentage? (Hint: Use p ≈ 0.50 as a preliminary estimate. Round your answer up to the nearest whole number.) workers
