Question 10 (4 points) Two researchers estimated the mean energy intake of American adults during 2009- 2010, which is 2195 kcal/day. You think there has been a change of pattern since 2019-2020 in that the mean energy intake might have increased by then. To verify this, you decided to conduct a test of significance at (X = 0.05. [Source: Ford, E. S, & Dietz, W H. (2013). ends in energy intake among adults in the United States: ndings from NHANES. The American journal of clinical nutrition, 97(4), 848853. https://doi.org/10.3945/ajcn.112052662] From your random sample of 45 male and female American adults, the sample mean is calculated to be 2225 kcal/day, with a standard deviation of 72 kcal/day. What should be the conclusion? What is your test statistic and corresponding degrees of freedom, if any? A) t = 4.3877; df = 24 O B) t = 2.4064; df = 25 O c) t = 2.4064; df = 24 O D) Z = 2.4064; no df O E) t=-0.9368; df = 24 Next Page Page 3 of 9 Previous PageQuestion 9 (4 points) Fibromyalgia (FM) is a chronic disorder that introduces body-wide pain, as well as sleep & functional mobility problems, to a patient. Suppose you are curious if FM patients have worse functional mobility than elderly individuals. In other words, do FM patients take longer time on completing tasks compared to people aged at least 60 years? To answer this, you decided to conduct a test of significance at 0. You randomly selected 25 FM patients and 35 elderly, and asked them to perform the Time Up and Go (TUG) test. You recorded the time (in seconds) it took for them to stand up, walk in a 3-meter straight line, and return to sit again on their original point after a "GO" signal. The results were tabulated below: Group Sample Size Mean Standard Deviation FM patients 25 11.50 seconds 3.75 seconds Elderly 35 9.45 seconds 2.39 seconds [Source: Bohannon RW. Reference values for the timed up and go test: a descriptive meta-analysis. J Geriatrys Ther. 2006;29(2):64-8. doi: 10.1519/00139143-200608000-00004. PMID: 16914068. Cherney, K. (2020, June 29). Everything You Need to Know About Fibromyalgia. RetrievedQuestion 8 (4 points) A 2011 national study found that about 16% of all emergency department (ED) visits were not covered by any health insurance. You are curious to find out if this has changed through the years. For a month, you recorded the number of ED visits not covered by health insurance in 50 randomly selected hospitals. From this sample, the estimated proportion was found to be 16.5%. [Source: Weiss AJ, Wier LM, Stocks C, et al. Overview of Emergency Department Visits in the United States, 2011: Statistical Brief #174. 2014 Jun. In: Healthcare Cost and Utilization Project (HCUP) Statistical Briefs [Internet]. Rockville (MD): Agency for Healthcare Research and Quality (US); 2006 Feb-. Available from: https://www.ncbi.nim.nih.gov/books/NBK235856/] Conduct a test of significance for the proportion at 10% significance level with the hypotheses Ho: p = 0.16 vs Ha: p # 0.16. What is the appropriate conclusion?O A) At 10% level of significance, there is not sufficient evidence to say that the proportion of ED visits that are not covered by any health insurance is significantly different from 16%. O B) At 10% level of significance, there is not sufficient evidence to say that the proportion of ED visits that are not covered by any health insurance is significantly greater than 16%. O C) At 10% level of significance, there is sufficient evidence to say that the proportion of ED visits that are not covered by any health insurance is significantly lower than 16%. O D) At 10% level of significance, there is sufficient evidence to say that the proportion of ED visits that are not covered by any health insurance is significantly greater than 16%. O E) At 10% level of significance, there is sufficient evidence to say that the proportion of ED visits that are not covered by any health insurance is significantly different from 16%. O A) At 5% level of significance, there is sufficient evidence to say the mean energy intake has increased. 0 B) At 5% level of significance, there is sufficient evidence to say the mean energy intake has decreased. 0 C) At 5% level of significance, there is no sufficient evidence to say the mean energy intake has changed. 0 D) At 5% level of significance, there is no sufficient evidence to say the mean energy intake has increased. 0 E) At 5% level of significance, there is no sufficient evidence to say the mean energy intake has decreased