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- The proportion P residence in a community recycles traditionally been 70%. Policymaker claims of the unfortunate less than 70% now that one of the recycling centers has been relocated. It's 137 out of a random sample of 205 residence in the community said they recycle, is there enough evidence to support the policy makers claim at the 0.05 level of significance?Below is the summary A tutorial school has been running IELTS mock examination for many years. presented by the tutorial school related to the IELTS mock examination in one of the many online classes selected randomly in year 2022. IELTS score in mock examination Number of students <4 5 2 5 7 15 8 10 3 A report presented by this tutorial school 5 years ago indicated that the population mean score of IELTS mock examination was 7.05 points and ihe population proportion of students got 7 points or above was 0.67. (a) Construct a 95% confidence interval estimate of population mean score a student get in the IELTS mock examination in 2022. (b) Test, at 1% level of significance, if the population proportion of students get 7 points or above in 2022 is higher than that in year 2017. (The report must include the (i) null hypothesis and alternative hypothesis, (ii) rejection region(s), (iii) calculation of test statistics, and (iv) conclusion.) (c) If the confidence interval estimate in part…You are a medical researcher that wants to determine if your new drug can lower people's blood pressure. You recruit 60 participants with high blood pressure to be part of your study. You randomly assign participants to one of three groups to receive either 10 mg of your drug, 5 mg, or 0 mg (given as a placebo control). After 2 weeks, participants' blood pressure is measured and you compare among the 3 groups. Which statistical test would be best to determine if there is a significant difference in blood pressure among the three groups?
- You supervise a YouTube channel that focuses on reviews for movies and television shows. You look at 5 different ways viewers reach your videos. You want to find out if there are better avenues for viewers to find your videos compared to others. You look at your 10 strongest videos and looked at the amount of views over the past day based on how viewers found the videos. Construct a One Way ANOVA to test if there are differences in average views for each avenue for finding videos.A doctor in Oklahoma City wants to know whether the average life span for heart disease patients at four hospitals in the city differ. The data below represents the life span, in years, of heart disease patients from each hospital. Perform an ANOVA test with a 10% level of significance to test whether the average life span of heart disease patients in Oklahoma City differs depending on the hospital that treats them Life Span of Patients Treated at Hospital 1: 8.1, 1.2, 7, 11.5, 21, 2, 15.3, 19.2, 10.5, 15.4, 12.7, 15.3, 12.1, 7.5, 11.4, 16.4, 26.7, 14.6, 1.5, 16.3, 12.6, 0.8, 18.2, 4.2, 9.6, 21, 16.3, 2.7 Life Span of Patients Treated at Hospital 2: 17.6, 11.6, 16.8, 5.2, 6.7, 3.2, 13.8, 12.5, 0.9, 6, 14.3, 1.8, 14.8, 10, 5.8, 15.2, 10, 3.7, 11.4, 21.6, 12.9, 0.5, 9.2, 13.9, 10.9 ▼ Part 1 of 4 Life Span of Patients Treated at Hospital 3: 8.5, 2.3, 11, 7.4, 14.8, 5.8, 11, 3.4, 10.9, 1.1, 5.9, 21.6, 12.5, 0.1, 15.5, 15.4, 0.8, 7.7, 5.6, 12, 7.1 Life Span of Patients Treated at Hospital…Suppose that Kim is a participant in a study that compares several coaching methods to see how they affect math Scholar Aptitude Test (SAT) scores. The grand mean of math SAT scores for all participants (My) in the study is 550. The group that Kim participated in had a mean math SAT score of 565. Kim’s individual score on the math SAT was 610. What was the estimate residual component (of Kim’s score, that is, the part of Kim’s score that was not related to the coaching method? (Both parts of this question call for specific numerical values as answers). What was that “effect” (ai) component of Kim's score? What pattern in grouped data would make SSwithin = 0? What pattern within data would make SSbetween = 0?
- A 9-year-old girl did a science fair experiment in which she tested professional touch therapists to see if they could sense her energy field. She flipped a coin to select either her right hand or her left hand, and then she asked the therapists to identify the selected hand by placing their hand just under her hand without seeing it and without touching it. Among 304 trials, the touch therapists were correct 136 times. Use a 0.05 significance level to test the given hypotheses? HO: p = 0.5 HI: P < 0.5Separate random samples were collected by a polling agency to investigate the difference in employee satisfaction at non-profit organizations and at for-profit companies. Data collected from 424 employees at non-profit organizations revealed that 373 of them were "highly satisfied." From the for-profit companies, 433 out of 524 employees reported the same level of satisfaction. Researchers want to test if the proportions of satisfied employees are the same at for-profit companies as at non-profit companies. Complete parts a through c below. a) What is the difference in the proportions of the two types of companies? Assume p, is the proportion of satisfied non-profit employees and p, is the proportion satisfied for-profit employees. The difference in the sample proportions, p, -P2, is (Round to three decimal places as needed.) b) What is the value of the Z-statistic? Write the appropriate hypotheses. Let p, be the proportion of satisfied employees from non-profit organizations. Let p,…When does Two Related Samples occur?
- A 9-year-old girl did a science fair experiment in which she tested professional touch therapists to see if they could sense her energy field. She flipped a coin to select either her right hand or her left hand, and then she asked the therapists to identify the selected hand by placing their hand just under her hand without seeing it and without touching it. Among 274 trials, the touch therapists were correct 116 times. Use a 0.05 significance level to test the given hypotheses? HO: p = 0.5 HI: P# 0.5When she was 9 years of age, a girl did a science fair experiment in which she tested professional touch therapists to see if they could sense her energy field. She flipped a coin to select either her right hand or her left hand, and then she asked the therapists to identify the selected hand by placing their hand just under her hand without seeing it and without touching it. Among 241 trials, the touch therapists were correct 104 times. Use a 0.10 significance level to test the claim that touch therapists use a method equivalent to random guesses. Do the results suggest that touch therapists are effective? Let p denote the population proportion of correct hand selections by touch therapists. Identify the null and alternative hypotheses to test the claim that touch therapists use a method equivalent to random guesses. Họ:P V H:p (Type integers or decimals. Do not round.) Identify the test statistic. (Round to two decimal places as needed.) Identify the P-value. P-value = (Round to…Clothes dried outside smell better than those dried in a dryer because of a process called photolysis. Sunlight breaks down compounds that cause odor. A trained smeller is asked to smell a random sample of 20 towels. The smeller does not know it, but all of the 20 towels have been dried in the sun. The smeller is blindfolded and is not allowed to touch the towels but leans forward to smell the towel then rates the towel on a smell-scale of 1 to 10, where 1 is the an extremely unpleasant smell and 10 is a very good smell. A smell rating of 8 is typically attributed to a towel that is dried in the dryer. The mean smell rating for these 20 towels is approximately normal with a mean of 8.45 and the standard deviation is 0.887. A statistician performs a test of Ho μ = 8 versus H₁ μ> 8 where is the true mean smell rating for all towels dried in the sun. This test yields a P-value of 0.0176. What conclusion would you make at the significance level a = 0.05? Because the P-value of 0.0176 < α =…
