2. In a study to estimate the proportion of residents in a certain city and its suburbs who favor the construction of a nuclear power plant, it is found that 450 of 1000 urban residents favor the construction while only 240 of 800 suburban residents are in favor. Use a=0.05 (a) Test using p-value if there is a significant difference between the proportion of urban and suburban residents who favor construction of the nuclear power plant. (b) Construct a 95% confidence interval for the difference of favor proportions between urban residents and suburban residents and test if there is a significant difference between the proportion of urban and suburban residents who favor construction of the nuclear power plant (You need to explain how you make the conclusion). (c) By using critical region(s) test if there is a significant difference between the proportion of urban and suburban residents who favor construction of the nuclear power plant.
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- the variance in waiting times(in minutes) of 10 attendees at bethel woods, where attendees enter a single waiting line that feeds three checkpoint windows is 0.227 minutes. A 95% confidence interval for the population variance would beA study was done to determine whether there is a relationship between snoring and the risk of heart disease. Among 1,105 snorers in the study, 88 had heart disease, while only 27 of 1,379 non-snorers had heart disease. (a) Determine a 95% confidence interval that estimates p1 − p2 = difference in proportions of snorers and non-snorers who have heart disease. (Let p1 be the proportion of snorers and p2 be the proportion of non-snorers. Round your answers to three decimal places.) toA sample of 1200 females and 1000 males found that 78.3% of females and 35.1% males supported increased funding of arts. Construct a 90% confidence interval around the difference in proportions.
- 12. A new manufacturing process of component parts is being considered. Samples were taken improves the proportion of defective components. 1425 of 1500 components from the existing process and 1920 of 2000 components from the new process were found to be non-defective. 75 80 P1 = = 0.05, P2 = 0.04 and Pi - P2 = 0.05 - 0.04 = 0.01 1500 2000 a. Find a 99% confidence interval for the true difference in the fraction of defectives between the existing and the new processes? b. Based on your answer in (a), is there any significant difference between the existing and the new processes? Justify?A survey of 1300 working adults showed the following result: Out of 670 working adults age 35 and below (sample 1), 350 respondents answered that more than $500,000 of saving is required for their retirement. Out of 630 working adults above age 35 (sample 2), 430 respondents answered that more than $500,000 of saving is required for their retirement. Does target saving amount for individual's retirement increase with age? ((a) Construct the 90% confidence interval for the difference in the population proportions. (b) Identify the point estimate for the difference between the sample proportions. (c) Determine the critical value and the margin of error. (d) Interpret your result in part (a). (e) At the 90% level of confidence, does it appear that target saving amount for individual's retirement increase with age? (f) State a set of statistical hypotheses for this question that can be tested by the data described above. (g) By using the Critical Value method, perform a test at the 3%…According to the website www.collegedrinkingprevention.gov, "About 25 percent of college students report academic consequences of their drinking including missing class, falling behind, doing poorly on exams or papers, and receiving lower grades overall." A statistics student is curious about drinking habits of students at his college. He wants to estimate the mean number of alcoholic drinks consumed each week by students at his college. He plans to use a 90% confidence interval. He surveys a random sample of 63 students. The sample mean is 3.7 alcoholic drinks per week. The sample standard deviation is 3.2 drinks. Construct the 90% confidence interval to estimate the average number of alcoholic drinks consumed each week by students at this college. 1. The t value is - 2. The standard error has a value of -- 3. The margin of error has a value of 4. Construct the 90% confidence interval to estimate the average number of alcoholic drinks consumed each week by students at this college.
- In August 2005, researchers for the American Society for Microbiology and the Soap and Detergent Association monitored the behavior of more than 6300 users of public restrooms. They observed people in public venues such as Turner Field in Atlanta and Grand Central Station in New York City. They found that 2393 of 3206 men washed their hands, compared to 2802 of 3130 women. For each gender, construct a 99% confidence interval for the population proportion who wash their hands in public restrooms. (4 decimals)Kmart decided to inventory all of its furniture stock for a year end evaluation. At that time there were 768 items of furniture. A random sample of 40 items of furniture were selected for audit, with sample mean=$249.06 and SD=$92.58. Construct a 95% confidence interval estimate of the total value of furniture stock for year end.A study of 420,039 cell phone users found that 131 of them developed cancer of the brain or nervous system. Prior to this study of cell phone use, the rate of such cancer was found to be 0.0443% for those not using cell phones. Complete parts (a) and (b). ..... a. Use the sample data to construct a 95% confidence interval estimate of the percentage of cell phone users who develop cancer of the brain or nervous system. • D%A study of 420,097 cell phone users found that 137 of them developed cancer of the brain or nervous system. Prior to this study of cell phone use, the rate of such cancer was found to be 0.0311% for those not using cell phones. Complete parts (a) and (b). .... a. Use the sample data to construct a 90% confidence interval estimate of the percentage of cell phone users who develop cancer of the brain or nervous system. %After surveying a random sample of 300 students in an online degree program, 86% believed that their classes were worth the cost they were paying. The results from a survey of 345 randomly selected students who were in a face-to-face degree program who had also taken some online courses, showed that 84% of them believed those online courses were worth the cost. Construct a 90% confidence interval for the difference between the two groups of students.The Consumer Product Safety Commission regulates products sold for use with children. An investigator is tasked with determining whether a male child will get sick after being exposed to a certain brand of house paint than a female child. Data was collected that on 1854 children between the ages one and four, all of whom were exposed to the same brand of house paint. 985 were boys, while 869 were girls. Determine a 95% confidence interval for the difference in proportions of male and female children, ages one to four, who will get sick. Round to four decimal places.With % confidence, it can be concluded that the difference in proportions of between male and female children, ages one to four, who get sick after being exposed to this brand of house paint is (p1 - p2) is between BLANK and BLANK .SEE MORE QUESTIONSRecommended textbooks for youMATLAB: An Introduction with ApplicationsStatisticsISBN:9781119256830Author:Amos GilatPublisher:John Wiley & Sons IncProbability and Statistics for Engineering and th…StatisticsISBN:9781305251809Author:Jay L. DevorePublisher:Cengage LearningStatistics for The Behavioral Sciences (MindTap C…StatisticsISBN:9781305504912Author:Frederick J Gravetter, Larry B. WallnauPublisher:Cengage LearningElementary Statistics: Picturing the World (7th E…StatisticsISBN:9780134683416Author:Ron Larson, Betsy FarberPublisher:PEARSONThe Basic Practice of StatisticsStatisticsISBN:9781319042578Author:David S. Moore, William I. Notz, Michael A. FlignerPublisher:W. H. FreemanIntroduction to the Practice of StatisticsStatisticsISBN:9781319013387Author:David S. Moore, George P. McCabe, Bruce A. CraigPublisher:W. H. FreemanMATLAB: An Introduction with ApplicationsStatisticsISBN:9781119256830Author:Amos GilatPublisher:John Wiley & Sons IncProbability and Statistics for Engineering and th…StatisticsISBN:9781305251809Author:Jay L. DevorePublisher:Cengage LearningStatistics for The Behavioral Sciences (MindTap C…StatisticsISBN:9781305504912Author:Frederick J Gravetter, Larry B. WallnauPublisher:Cengage LearningElementary Statistics: Picturing the World (7th E…StatisticsISBN:9780134683416Author:Ron Larson, Betsy FarberPublisher:PEARSONThe Basic Practice of StatisticsStatisticsISBN:9781319042578Author:David S. Moore, William I. Notz, Michael A. FlignerPublisher:W. H. FreemanIntroduction to the Practice of StatisticsStatisticsISBN:9781319013387Author:David S. Moore, George P. McCabe, Bruce A. CraigPublisher:W. H. Freeman