Would you say that most people can be trusted? A random sample of n1 = 250 people ages 18-25 showed that n = 45 said yes. Another random sample of n2 = 280 people ages 35-45 showed that r2 = 71 said yes. a) (i) Find 95% confidence interval for på – p2- Conduct hypothesis test at 5% significance level, do you have enough evidence to conclude that the population proportion of trusting people is higher for the older group? (ii)
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Contingency Table
A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear relationship between two variables. A contingency table is indeed a type of frequency distribution table that displays two variables at the same time.
Binomial Distribution
Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.
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- In a study of speed dating, male subjects were asked to rate the attractiveness of their female dates, and a sample of the results is listed below (1 = not attractive; 10 = extremely attractive). Construct a confidence interval using a 90% confidence level. What do the results tell about the mean attractiveness ratings of the population of all adult females?7,7,1,8,6,5,8,8,8,8,5,9 What is the confidence interval for the population mean u? __<u<__ (Round to one decimal place as needed.)In a study of speed dating, male subjects were asked to rate the attractiveness of their female dates, and a sample of the results is listed below (1=not attractive; 10=extremely attractive). Construct a confidence interval using a 90% confidence level. What do the results tell about the mean attractiveness ratings of the population of all adult females? 6, 9, 2, 9, 6, 5, 8, 7, 7, 10, 5, 9In 2003, an organization surveyed 1,510 adult Americans and asked about a certain war, "Do you believe the United States made the right or wrong decision to use military force?" Of the 1,510 adult Americans surveyed, 1,080 stated the United States made the right decision. In 2008, the organization asked the same question of 1,510 adult Americans and found that 575 believed the United States made the right decision Construct and interpret a 90% confidence interval for the difference between the two population proportions, P2003-P2008- The lower bound of a 90% confidence interval is (Round to three decimal places as needed.) The upper bound of a 90% confidence interval is (Round to three decimal places as needed.) Interpret the 90% confidence interval for the difference between the two population proportions, P2003-P2008- Choose the correct answer below. O A. There is 10% confidence that the difference in the proportion of adult Americans from 2003 to 2008 who believe the United States…
- A random sample of high school seniors were asked whether they were applying for college. The resulting confidence interval for the proportion of students applying for college is (0.65,0.69). What is the margin of error?A company has analysed data for a sample of employees who have undertaken training designed to improve their performance in completing a timed task. For each employee in the sample, data shows the time taken to perform the task before training and the time taken post training. The data was used to construct a 95% confidence interval for the mean difference in time taken (before - after), and the interval was (6,10) minutes. Which of the following inferences is correct? Select one: a.The confidence interval indicates that there could be no difference, on average, between the time it takes to perform the task after training and before training. b.We are 95% confident that the time taken to perform the task is lower after training than before training, on average. c.We are 95% confident that the mean reduction in the time taken to perform the task after training is 8 minutes. d.We are 95% confident that everyone doing the training will then be able to perform the task at least 6…Stanford University conducted a study of whether running is healthy for men and women over age 50. During the first eight years of the study, 1.5% of the 451 members of the 50-plus Fitness Association died. We are interested in the proportion of people over 5o who ran and died in the same eight-year period. Construct a 95% confidence interval for the population proportion of people over 50 who ran and died in the same eight-year period. Explain in a complete sentence what the confidence interval means
- IS An insurance company collects data on seat-belt use among drivers in a country. Of 1100 drivers 20-29 years old, 24% said that they buckle up, whereas 341 of 1200 drivers 45-64 years old said that they did. Find a 95% confidence interval for the difference between the proportions of seat-belt users for drivers in the age groups 20-29 years and 45-64 years. Construct a 95% confidence interval. The 95% confidence interval for p, -p, is from to . SC (Round to three decimal places as needed.)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%In a survey of 2490 golfers, 22% said they were left-handed. The survey's margin of error was 4%. Construct a confidence interval for the proportion of left-handed golfers. O (0.17, 0.27) (0.18, 0.26) ○ (0.18, 0.22) ○ (0.26, 0.30)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. %The dataset "nurses" is a random sample of 1,000 cases from “Health Care Provider Credential Data” from Washington State Open Data Portal. In the sample, there are 418 CNA's and 278 of the CNA's have expired credentials. Use the statistics from the nurses dataset to answer the following question: "With 90% confidence, what percent of all CNA's on Washington State's healthcare provider list are expired?"An October 2011 CBS News Poll on illegal immigrants interviewed 1012 randomly selected American adults. Of those in the sample, 688 said that they “oppose allowing the children of illegal immigrants to attend state college at the lower tuition rate of state residents.” Although the samples in national polls are not SRSs, they are similar enough that our method gives approximately correct confidence intervals. Find the 99% confidence interval for the proportion of adults who “oppose allowing the children of illegal immigrants to attend state college at the lower tuition rate of state residents.” Interpret the confidence interval in a clear sentence. Find the 95% confidence interval. Is the 95% confidence interval longer or shorter than the 99% confidence interval? Find the margin of error for each confidence interval. (Hint: you do have enough information from the calculator output! Margin of error = (width of interval)/2.) Margin of error for 99% confidence…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