1 in 129. A teacher examined 280 students in Economics and Auditing and found that 160 failed in Economics, 140 failed in Auditing and 80 failed in both the subjects. Is there any association between failure in Economics and Auditing?
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- 2.- The journal Behavioral Research in Accounting published a study of Machiavellian traits in accountants. Machiavellian describes negative character traits that include manipulation, cunning, duplicity, deception, and bad faith. A questionnaire by email was administered to a random sample of 700 accounting alumni of a large southwestern university; however, due to nonresponse and incomplete answers, only 198 questionnaires could be analyzed. Several variables were measured, including age, gender, level of education, income, job satisfaction score, and Machiavellian (“Mach") rating score. The research findings suggest that Machiavellian behavior is not required to achieve success in the accounting profession. a) What is the populatidn of interest to the researcher? Answer: Business accountants in the southwest Accountants in general Accounting alumni from this university Business alumni from this university b) What inference was made by the researcher? Answer: Accountants are always…The State of Virginia has instituted a series of standards of learning (SOL) tests in math, history, English, and science that all high school students must pass with a grade of 70 before they are allowed to graduate and receive their diplomas. The school superintendent of Montgomery County believes the tests are unfair because the test scores are closely related to teacher salary and tenure (i.e., the years a teacher has been at a school). The superintendent has sampled 12 other county school systems in the state and accumulated the following data for average teacher salary and average teacher tenure: a. Using Excel or QM for Windows, develop the multiple regression equation for these data. b. What is the coefficient of determination for this regression equation? Do you think the superintendent is correct in his beliefs? c. Montgomery County has an average SOL score of 74, with an average teacher salary of $27,500 and an average teacher tenure of 7.8 years. The superintendent has…5. In the United States, there is a strong relationship between education and smoking: well-educated people are less likely to smoke. Does a similar relationship hold in France? To find out, researchers recorded the level of education and smoking status of a random sample of 459 French men aged 20 to 60 years.36 The two-way table below displays the data. Is there convincing evidence of an association between smoking status and educational level among French men aged 20 to 60 years? Smoking Status Nonsmoker Former Moderate Heavy Primary School 56 54 41 36 Education Secondary School 37 43 27 32 University 53 28 36 16
- A TA in statistics thinks that the format of the conferences and the timing of the assignments may affect students' assignment marks (out of 10). He decided to design three conferences with a different format: (1) with lecturing, (2) with demonstrating problems, and (3) with involving students in active problem-solving. Twelve students attended one of the conferences (four in each format) and asked to submit their assignments at week 3. Another twelve students attended one of the conferences but asked to submit their assignments at week 5. The data are tabled below: Assignment Week 3 Week 5 Lecture 6,7,5,7 5,5,4,5 Format Demo problems 7,8,8,9 6,7,7,6 Active problems 9,10,10,10 8,9,9,10 Note: ΣΣΣx=1385 Perform the ANOVA test and table the results, stating all critical values. State and explain what should be the follow-up analysis after the overall F-test if any (NO calculation but just explain).2. A researcher wants to determine which of three advertisements is most likely to encourage teens not to smoke. To assess the impact of each advertisement, she asks a sample of teenagers to view each ad and to rate the ad's effectiveness on a scale of 1 (not at all effective) to 7 (very effective). One ad used words only (no-cues condition), a second ad used a generic abstract picture (generic-cues condition), and a third showed a picture of a teen smoking and coughing (smoking-related cues condition). Fully test the question (5 steps) and determine the effect size. Participant ABCDEFG No Cues 2 3 1 4 4 5 2 T = 21 SS = 12 Generic Cues 5 5 4 5 3 4 2 T1 = 28 SS=8 Smoking- Related Cue 5 6 5 7 6 7 6 T2 = 42 SS = 4 P G = 91 ΣΧ2 = 4515. Dementia is a common mental health problem affecting those over 65. It is believed that of those that have dementia, 31% worsen in mental cognition. Acetyl-l-carnitine (ALC) is a drug that is used to determine if it will be beneficial with those with dementia. In a clinical trial, 98 patients are given the drug and their cognition is observed. Of the 98 patients, only 28 worsened. Construct a test to determine whether ALC decreased the proportion of patients who worsen from dementia. a) State the null and alternative hypotheses. b) Find the test statistic. Round to two decimal places. c) Find the p-value. Round to four decimal places. d) What is your decision at a 1% significance?
- 11. In professional tennis for 2017 men challenged 2100 calls and 1105 of them were changed. While women challenged 1309 calls and 625 of them were changed. Conduct a hypothesis test to test the claim that men get more calls changed than women. Use a significance level of 0.05.14. Identifying individuals with a high risk of Alzheimer's disease usually involves a long series of cognitive tests. However, researchers have developed a 7-Minute Screen, which is a quick and easy way to accomplish the same goal. The question is whether the 7-Minute Screen is as effective as the complete series of tests. To address this question, Ijuin et al. (2008) administered both tests to a group of patients and compared the results. The following data represent results similar to those obtained in the study. 18. 7-Minute Screen Cognitive Series Patient 3 11 8. 19 10 22 8. 20 4. 14 13 4 9. 20 14 25 a. Compute the Pearson correlation to measure the degree of relationship between the two test scores. b. Is the correlation statistically significant? Use a two-tailed test with a = .01. c. What percentage of variance for the cognitive scores is predicted from the 7-Minute Screen scores? (Compute the value of r.) 15. For a two-tailed test with a = .05, use Table R 6 to ABCD EFGHific Calculator Of30shg/ckivdfk1p00003g5tgeftOid1 Agroup of researchers in New York wants to test if there is any relationship between living in California and preferring warm weather to cold weather. The researchers send out an online questionnaire to 200 randomly chosen people in the US asking several questions including: "Do you live in California?" and "Do you prefer warm weather to cold weather?". The results are summarized in the table below: Prefers Warm Weather 80 Prefers Cold Weather 42 Lives in California Doesn't Live in California 35 43 Test the null hypothesis that the choices on these two questions are independent versus the alternative that they are dependent. What are the p-value and conclusion of this test if the test is performed at the alpha =0.1 level? %3D p-value = 0.0091; Fail to reject the null hypothesis %3D p-value = 0.0039; Reject the null hypothesis p-value = 0.0039; Fail to reject the null hypothesis p-value = 0.0911; Reject the null hypothesis NEXT
- An Economics instructor assigns a class to investigate factors associated with the gross domestic product (GDP) of nations. Each student examines a different factor (such as life expectancy, literacy rate, etc.) for a few countries and reports to the class. Apparently, some of the classmates do not understand Statistics very well because several of their conclusions are incorrect. Explain the mistakes in comments a and b below. a) Explain the mistake in the statement "There was a very strong correlation of 1.22 between Life Expectancy and GDP" Choose the correct answer below O A. A correlation cannot be greater than 1. O B. A correlation that is greater than 1 implies that the variables are not quantitative, so the correlation cannot be interpreted. OC. A correlation that is close to 1 implies a very weak correlation. The correlation must be close to 10 for it to be interpreted as a very strong correlation. O D. A correlation that is greater than 1 implies a weak correlation, not a…95) Reynoldsburg surveys Summit HS students. They found 90% of students are tired at 7:10am and 40% of those students who are tired at 7:10am are chronically late to school. What percent of all Summit HS students are both are tired at 7:10am and are chronically late to school?
