Suppose that we conducted a survey in which we asked 800 people the following question: “In the event of an emergency, would you seek medical assistance at the emergency room of our hospital?” If 180 of the respondents indicated that they would seek care at the emergency room, construct a 95% confidence interval for the true proportion. Include the hypotheses (both null and alternate), alpha, test statistic (highlight where it is calculated on your spreadsheet), decision, conclusion2.In a random sample of 640 recent discharges, it was found that a hospital-acquired infection was reported in the medical records of 262. .We believe that no less than 20% of inpatients should acquire a hospital-related infection. If alpha is set at 0.05, use these data to evaluate the performance of the hospital. Include the hypotheses (both null and alternate), alpha, test statistic (highlight where it is calculated on your spreadsheet), decision, conclusion3.Suppose that we operate two long-term care facilities and are concerned that the quality of care provided by the two facilities differs. In an initial assessment, suppose that we randomly selected 100 patient records from facility A and found that bed sores were reported in 40 cases. Similarly, we randomly selected 150 records from facility B and found that bed sores were reported in 70 cases. Let alpha be 0.05, and use these data to find the difference, if any, in the performance of the two facilities. Include the hypotheses (both null and alternate), alpha, test statistic (highlight where it is calculated on your spreadsheet), decision, conclusion4.Suppose that we are interested in examining the relation between the use of physician care and the age of the patient. After surveying 173 individuals enrolled in our managed-care organization, suppose that we obtained the following results: Let alpha be set at 0.01 and determine whether the use or nonuse of physician service is the same for the three age groups Include the hypotheses (both null and alternate), alpha, test statistic (highlight where it is calculated on your spreadsheet), decision, conclusionAge Use Nonuse 10–24 49 14 25–39 23 65 40–54 4 18 5Examining the medical records of 400 patients admitted to the medical, the surgical, and the pediatric unit, suppose that we calculated the average daily costs for each. Using the categories, low, middle, and high to characterize the resulting cost data, suppose that the distribution of patients was as follows. Use alpha at 0.05 to determine whether costs are independent of the unit in which patients are hospitalized. Include the hypotheses (both null and alternate), alpha, test statistic (highlight where it is calculated on your spreadsheet), decision, conclusionUnit Low Middle High Medical 46 62 70 Surgical 45 22 85 Pediatric 10 50 10 610-2, page 247 9-3, page 218 Use the “Regression” function in Excel and the data presented in Suppose that we are interested in the relationship between the useExercise 3 of Chapter 9 to estimate the linear relation between of physician services and the distance, measured in miles, betweenthe number of visits and the distance to the nearest source of the patient’s residence and the nearest source of care. The resultscare. Examine the results of the analysis by: of a sample survey of 20 patients yielded the following 1. Interpreting the coefficient of determination paired observations: 2. Interpreting the square root of the coefficient of determination 3. Interpreting findings presented in the ANOVA table Visits 5 6 9 7 1 24. Determining whether the intercept and slope of the sample Miles 3 4 6 9 1 1regression line are significant. In your evaluation, let alpha be set at 0.05. Include the hypotheses (both null and alternate), alpha, test statistic (highlight where it is calculated on your spreadsheet), decision, conclusionUsed “Transpose” to paste in columns for MegaStat Visits Miles 5 3 6 4 9 6 7 9 1 1 2 1 4 3 3 2 6 5 4 6 2 2 3 5 7 1 10 2 1 9 2 8 5 4 6 3 8 2 4 2 7.10-4, page 248 9-5, page 248 Use the “Regression” function in Excel and the data presented in Suppose that the administrator of a managed-care organization is Exercise 5 of Chapter 9 to estimate the linear relationship between interested in the association between the length of stay and the the length of stay and the number of secondary conditions number of secondary conditions. A random sample of 15 patient presented by the patient. Examine the results of the analysis by records yielded the following paired observations: 1. Interpreting the coefficient of determination Length of stay 2 5 9 3 7 10 4 5 2 7 8 11 2 5 72. Interpreting the square root of the coefficient of determination Number of conditions 1 3 6 2 5 9 2 4 1 6 5 9 2 4 33. Interpreting findings presented in the ANOVA table 4. Determining whether the intercept and slope of the sample regression line are significant. In your evaluation of the regression results, let alpha be set at 0.05. Include the hypotheses (both null and alternate), alpha, test statistic (highlight where it is calculated on your spreadsheet), decision, conclusion Length of stay Number of conditions 2 1 5 3 9 6 3 2 7 5 10 9 4 2 5 4 2 1 7 6 8 5 11 9 2 2 5 4 7 3 84. The director of human resources is concerned that the salary policy of the organization contributes to an excessive turnover rate. To assess the situation, the following data were assembled: In this case, the categories in the “Education” column represent the highest educational attainment of the individual. Specifically, “Undergraduate” refers to an individual who completed college; “High School” refers to an individual who completed high school, and “Graduate” identifies an individual who completed a graduate program leading to a master’s degree. Use “High School” as the reference category for the educational attainment of the individual and “Staff ” as the reference category for the position of the individual. Use multiple regression analysis to assess the salary policy of the organization. In your evaluation, let alpha be set at 0.05. Include the hypotheses (both null and alternate), alpha, test statistic (highlight where it is calculated on your spreadsheet), decision, conclusionSalary ($000) Years of Experience Education Position 24 10 Undergraduate Director 32 8 Undergraduate Technician 42 15 High School Staff 18 7 High School Staff 38 11 Graduate School Director 54 17 High School Staff 44 3 Undergraduate Technician 35 7 Undergraduate Technician 43 2 High School Director 65 12 Graduate School Technician 51 6 High School Staff 22 14 Undergraduate Technician 9.6. Assume that the administrator of a short-term acute hospital wishes to examine factors that influence the length of stay. The administrator is interested in the influence of age and insurance status on the use of care. It is expected that the use of care increases with advancing age and that the insured use more care than the uninsured. After selecting a random sample of 15 patients who were treated for a disease of the digestive system, we obtained the following information: Use the “Uninsured” as the reference category and the “Regression Include the hypotheses (both null and alternate), alpha, test statistic (highlight where it is calculated on your spreadsheet), decision, conclusionLength of Stay Age Insurance Status 5 18 Uninsured 10 54 Insured 6 32 Insured 9 61 Insured 11 58 Insured 3 24 Uninsured 6 34 Insured 15 64 Insured 12 58 Insured 4 43 Uninsured 3 52 Uninsured 15 49 Insured 4 29 Uninsured 2 24 Insured 3 28 Uninsured