Winning team data were collected for teams in different sports, with the results given in the table below. Use the TI-83/84 Plus results at a 0.05 level of significance to test the claim that home/visitor wins are independent of the sport. TI-83/84 PLUS x* - Test x2 = 10.547534522 P = 0.0144418859 df = 3 Basketball Baseball Hockey Football Home team wins 142 59 75 72 Visiting team wins 65 55 38 33 V the null hypothesis that home/visitor wins are independent of the sport. It appears that the home-field advantage V depend on the sport.
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- Incidence of a rare disease. Only 1 in 1000 adults is afflicted with a rare disease for which a diagnostic test has been developed. The test is such that when an individual actually has the disease, a positive result will occur 99% of the time, whereas an individual without the disease will show a positive test result only 2% of the time (the sensitivity of this test is 99% and the specificity is 98%; in conrast, the Sept. 22, 2012 issue of The Lancet reports that the first at-home HIV test has a sensitivity of only 92% and a specificity of 99.98%). If a randomly selected individual is tested and the result is positive, what is the probability that the individual has the disease? To use Bayes' theorem, let A1 = individual has the disease, A2 = individual does not have the disease, and B = positive test result. Then P(A1) = , P(A2) = , P(B|A1) = , and P(B|A2) = . The tree diagram for this problem is below. Next to each branch corresponding to a positive test result, the…One of the issues facing organizations is increasing diversity throughout an organization. One of the ways to evaluate an organi- zation's success at increasing diversity is to compare the percentage of employees in the organization in a particular position with a specific background to the percentage in a particular position with that specific background in the general workforce. Recently, a large academic medical center determined that 9 of 17 employees in a particular position were female, whereas 55% of the employees for this position in the general workforce were female. At the 0.05 level of significance, is there evidence that the proportion of females in this position at this medical center is different from would be expected in the general workforce?The data in the table below presents the hourly quantity of production for three lines of production processes over the first 4 days in XYZ Company. Answer the questions based on the Excel Output given in the image. a. State the null and alternative hypothesis for single factor ANOVA. b. State the decision rule (α = 0.05).c. Calculate the test statistic and make a decision.
- please help me out. show full working out for better understanding Hereditary hemochromatosis (HH) is a recessively inherited genetic disorder resulting from mutations in the HFE gene. There are several possible mutations of different degrees of importance but the disease expresses itself only when at least 2 arepresent in any one individual. A blood analysis was performed on 3,000 blood samples from newborn babies of Caucasian descent in the state of Michigan, USA. The results showed that 163 of those sampled carried two mutations in the HFE gene. a. What is the proportion in the sample that carry the two mutations of the HFE gene? b. Calculate the 95% confidence interval for the proportion of this population that carries two mutations in the HFE Check the data for the necessary conditions and show full working. c. Interpret your interval in context d. If the researcher wanted to halve (x ½) the margin of error in the confidence interval found, what sample size would be required…Show all your work. Indicate clearly the methods you use, because you will be scored on the correctness of your methods as well as on the accuracy and completeness of your results and explanations. Patients experiencing symptoms of a heart attack are routinely transported to a hospital in an ambulance. In a study of a new treatment thought to reduce damage to the heart, patients experiencing symptoms of a heart attack were randomly assigned to one of two groups. During transportation to the hospital, patients in one group received standard care, and patients in the other group received the new treatment consisting of standard care and the application of a blood pressure cuff. The response variable measured for each patient was a number between 0 and 1, referred to as the myocardial salvage index (MSI). A higher MSI value indicates a more positive outcome for the patient. Summary statistics for the MSI responses of the two groups are shown in the table below. Do the data provide…When only two treatments are involved, ANOVA and the Student’s t-test (Chapter 11) result in the same conclusions. Also, for computed test statistics, t2 = F. To demonstrate this relationship, use the following example. Fourteen randomly selected students enrolled in a history course were divided into two groups, one consisting of six students who took the course in the normal lecture format. The other group of eight students took the course in a distance format. At the end of the course, each group was examined with a 50-item test. The following is a list of the number correct for each of the two groups. Traditional Lecture Distance 36 45 31 35 40 45 34 35 33 45 38 36 43 41 a-1. Complete the ANOVA table. (Round your SS, MS, and F values to 2 decimal places and p-value, F crit to 4 decimal places.) Source of Variation SS df MS F p-value F crit Treatment 96.01 1 96.01 5.67 0.0350 Error 203.21 12 16.93 Total 299.21 13…
- A researcher is interested in studying the effects of altitude on cognitive performance (e.g., perception, memory, problem solving, etc.). The researcher finds a group of experienced mountain climbers (n = 10) who volunteer to participate in the study. All of the climbers are tested at three different altitudes—at sea level (in the researchers’ laboratory at the University of California, San Diego), at the base camp (9,000 feet above sea level), and at 23,000 feet above sea level (at the peak of Mt. Denali in Alaska). At each location, the climbers perform a memory task (remember a list of 16 non-words like “biv”), and the accuracy of their memory is recorded (i.e., # of correctly recalled words). a. pls name the independent variable, dependent variable, levels of the IV, and the type of experiment design of this study (i.e., b/w- or w/i-subject design ) b. on what level of measurement is accuracy of memory assessed? (i.e., is it on nominal, ordinal, interval, or ratio?A researcher is interested in studying the effects of altitude on cognitive performance (e.g., perception, memory, problem solving, etc.). The researcher finds a group of experienced mountain climbers (n = 10) who volunteer to participate in the study. All of the climbers are tested at three different altitudes—at sea level (in the researchers’ laboratory at the University of California, San Diego), at the base camp (9,000 feet above sea level), and at 23,000 feet above sea level (at the peak of Mt. Denali in Alaska). At each location, the climbers perform a memory task (remember a list of 16 non-words like “biv”), and the accuracy of their memory is recorded (i.e., # of correctly recalled words). a. pls name the independent variable, dependent variable, levels of the IV, and the type of experiment design of this study (i.e., b/w- or w/i-subject design ) b. on what level of measurement is accuracy of memory assessed? (i.e., is it on nominal, ordinal, interval, or ratio?) View…This is data base of knowledge of 20 medical students about Covid-19 safety Protocol awereness among practicing ENT -Give the Percentage of correct responses in different age and gender -plan a hypothesis test (plan for the test- Theory only) to confirm or disprove that Age and gender have great influence on the Knowledge of student
- When only two treatments are involved, ANOVA and the Student’s t-test (Chapter 11) result in the same conclusions. Also, for computed test statistics, t2 = F. To demonstrate this relationship, use the following example. Fourteen randomly selected students enrolled in a history course were divided into two groups, one consisting of six students who took the course in the normal lecture format. The other group of eight students took the course as a distance course format. At the end of the course, each group was examined with a 50-item test. The following is a list of the number correct for each of the two groups. Traditional Lecture Distance 33 46 38 35 40 44 32 30 31 41 36 31 41 46 Click here for the Excel Data File. a-1. Complete the ANOVA table. (Round your SS, MS, and F values to 2 decimal places and p-value, F crit to 4 decimal places.) a-2. Use a α = 0.05 level of significance, compute the critical value. (Round your answer to 2 decimal places.)…A clinical trial is run to assess the efficacy of a new drug to reduce high blood pressure. Patients with a diagnosis of hypertension (high blood pressure) are recruited to participate in the trial and randomized to receive either the new drug or placebo. Participants take the assigned drug for 12 weeks and their blood pressure status is recorded. At the end of the trial, participants are classified as still having hypertension or not. The data are shown here:Group Number Randomized Number of Hypertension at 12 WeeksPlacebo 50 18New Drug 50 30 What is the prevalence of hypertension at the end of the trial?A)48%B)18%C)30%D)12%A clinical trial is run to assess the efficacy of a new drug to reduce high blood pressure. Patients with a diagnosis of hypertension (high blood pressure) are recruited to participate in the trial and randomized to receive either the new drug or placebo. Participants take the assigned drug for 12 weeks and their blood pressure status is recorded. At the end of the trial, participants are classified as still having hypertension or not. The data are shown here:Group Number Randomized Number of Hypertension at 12 WeeksPlacebo 50 18New Drug 50 30