3. Consider a study in which 2205 adolescents age 12 to 19 took a cardiovascular treadmill test. The researchers conducting the study indicated that the sample was selected in such a way that it could be regarded as representative of adolescents nationwide. Of the 2205 adolescents tested, 750 showed a low level of cardiovascular fitness. a) Construct a 98% confidence interval for the proportion of adolescents age 12 to 19 who showed a low level of cardiovascular fitness. b) Does this sample provide support for the claim that more than 30% of adolescents have a low level of cardiovascular fitness? Use a 0.01 level of significance. Use the critical value approach. Use the p-value approach. i. ii.
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- What is meant by the sample space of an experiment?Suppose that a safety group surveyed 1,100 drivers. Among those surveyed, 65% said that careless or aggressive driving was the biggest threat on the road, and 25% said that cell phone usage by other drivers was the driving behavior that annoyed them the most. Based on these data and assuming that the sample was a simple random sample, construct and interpret a 95% confidence interval estimate for the true proportion in the population of all drivers who are annoyed by cell phone users. The confidence interval estimate is ??––––––??> (Round to three decimal places as needed. Use ascending order.) Interpret the confidence interval estimate. A. There is a 0.95 probability that the population proportion of drivers who are annoyed by cell phone users is in the interval. B. There is 95% confidence that the population proportion of drivers who are annoyed by cell phone users is in the interval. C. There is 95% confidence that the population proportion…4. Ten students on a low-fat diet designed to lower their cholesterol and recorded their before and after diet data in the following table: Before diet cholesterol level: After diet cholesterol level: 140 140 220 230 110 120 240 220 200 190 180 150 190 200 360 300 280 300 260 240 Based on a 95% confidence level, after hypothesis testing, what would you tell the students about the diet? Does the null hypothesis reject H0 or fail to reject H0?
- Suppose that a safety group surveyed 800 drivers. Among those surveyed, 83% said that careless or aggressive driving was the biggest threat on the road, and 34% said that cell phone usage by other drivers was the driving behavior that annoyed them the most. Based on these data and assuming that the sample was a simple random sample, construct and interpret a 95% confidence interval estimate for the true proportion in the population of all drivers who are annoyed by cell phone users. The confidence interval estimate is ??––––––?? (Round to three decimal places as needed. Use ascending order.) Interpret the confidence interval estimate. A. There is a 0.95 probability that the population proportion of drivers who are annoyed by cell phone users is in the interval. B. There is 95% confidence that the population proportion of drivers who are annoyed by cell phone users is in the interval. C. There is a 0.95 probability that the sample proportion of drivers…In a situation where the sample size was decreased from 39 to 29 in a normally distributed data set, what would be the impact on the confidence interval?1. Ten students on a low-fat diet designed to lower their cholesterol and recorded their before and after diet data in the following table: Before diet cholesterol level After diet cholesterol level 140 140 220 230 110 120 240 220 200 190 180 150 190 200 360 300 280 300 260 240 Based on a 95% confidence level, after hypothesis testing, what would you tell the students about the diet? a.What is the p-value? b. Circle/highlight the correct decision about the null hypothesis: Reject H0 Fail to Reject H0 c. what are your conclusions?
- 2)The manager for a contractual ride-share company wants to construct a control chart for determining whether 10-drivers are under control with regard to the number of complaints filed. Accordingly, the manager sampled 100 reviews from last year for each driver, with the following results: Driver Number of Complaints 1 8 2 18 3 21 4 6 5 17 6 15 7 19 8 5 9 23 10…Suppose we wish to estimate the average number of hours per week that Americans watch TV. Use the following data from an SRS to find a 90% confidence interval: 30 64 49 40 21 58 9 43 39 43A U.S. Food Survey showed that Americans routinely eat beef in their diet. Suppose that in a study of 49 consumers in Illinois and 64 consumers in Texas the following results were obtained from two samples regarding average yearly beef consumption: Illinois Texas = 49 = 64 = 54.1lb = 60.4lb S1 = 7.0 S2 = 8.0 Develop a 95% confidence Interval Estimate for the difference between the two population means.
- A psychologist has designed a psychotherapy programme for people suffering from obesity, and wanted to determine what the mean weight loss would be for a population of people with obesity following the programme. The weight loss in kilograms, of 13 people who suffered with obesity and participated in the programme were randomly selected and the results were as follows: 21.4 23.1 25.9 24.7 23.4 24.5 21.925.0 22.5 29.9 29.4 25.8 23.2 Question 15Calculate and interpret a 90% confidence interval for the mean weight loss of the population of obese people following the programme (rounded off to two decimals). Question 16The psychologist claims that obese people participating in her psychotherapy programme will have an average weight loss more than 20.5 kilograms. Test the psychologist claim at a 1% level of significance (rounded off to two decimals).1) Using the data table, find and report the following probabilities: a. The probability that one randomly selected patient is experiencing High CoVID-19 severity given they are a Never Smoker b. The probability that one randomly selected patient is experiencing High CoVID-19 severity given they are an “Ever” Smoker meaning that they are a Current or Former Smoker, 2) Using StatCrunch* and the available data, construct a 99% Confidence Interval for the proportion of all patients experiencing High CoVID-19 severity if they are a Never Smoker. a. Report the confidence interval using proper notation. b. In one to two complete sentences, state an interpretation for this confidence interval. 3) Using StatCrunch* and the available data, construct a 99% Confidence Interval for the proportion of all patients experiencing High CoVID-19 severity if they are an “Ever” Smoker (i.e., they are a Current or Former Smoker. a. Report the confidence interval using proper notation. b. In one to two…In a study of government financial aid for college students, it becomes necessary to estimate the percentage of full-time college students who earn a bachelor's degree in four years or less. Find the sample size needed to estimate that percentage. Use a 0.02 margin of error and use a confidence level of 90%. Complete parts (a) through (c) below.