PERFORMANCE-BASED ASSESSMENT "The Neck Trick" Content Standard The learner demonstrates understanding of key concepts of tests of hypotheses on the population mean and population proportion. Performance Standard The learner performs appropriate tests of hypotheses involving population mean and population proportion to make inferences in real-life problems in different disciplines. Learning Targets: The learner .. illustrates; (a] null hypothesis; (b) alternative hypothesis; (c) level of significance; (d) rejection region, and (e) types of errors in hypothesis testing (DepEd MELCS Code M11/125P-IVa-1) identifies the parameter to be tested given a real-life problem (DepEd MELCS Code: M11/125P-IVa-3) formulates the appropriate null and alternative hypotheses on a population mean (DepEd MELCS Code: M11/125P-IVb-1) identifies the appropriate form of the test-statistic when: (a) the population variance is assumed to be known; (b) the population variance is assumed to be unknown; and (c) the Central Limit Theorem is to be used [DepEd MELCS Code: M11/125P-IVb-2) identifies the appropriate rejection region for a given level of significance when: (a) the population variance is assumed to be known; (b) the population variance is assumed to be unknown; and (c) the Central Limit Theorem is to be used (DepEd MELCS Code: M11/125P-IVc-1) computes for the test-statistic value (population mean] [DepEd MELCS Code: M11/125p-IVd-1) draws conclusion about the population mean based on the test-statistic value and the rejection region [DepEd MELCS Code: M11/125P-IVd-2) solves problems involving test of hypothesis on the population mean (DepEd MELCS Code: M11/125P.IVe-1) appreciate the use of statistics in making wise and data-driven decisions Date of Implementation: Week 6-8 (March14 -28, 2022) Engaging Scenario: Old folks suggest a way to check if jeans fit without trying them on. It works by placing the "waistband" of the jeans around your neck. If the "waistband" comfortably meets at the back of your neck, then the jeans will fit. (See video link for demonstration of this neck trick, https://www.youtube.com/watch?v=88-HgoY2ku8) There are a number of people claiming that the trick works for them but at the same time there are also people saying that they used the trick to buy a pair of jeans only to find out later when they got home that the jeans they bought did not fit. You are a member of an online fact-checking team and as the one with a background in Statistics, you are assigned to check through hypothesis testing, whether the neck rule is true. This rule translates to the rule of thumb "Twice around the neck, once around the waist (double your neck size to find your waist size)." You are to submit a report to your teamleader complete with a statement of the hypotheses until the discussion of the results for verification before it is published online in your fact-checking website to properly guide readers as to the claim of this neck trick.Guidelines: All grade 11 students will be asked to accomplish a google form indicating their waist circumference and neck circumference following the instructions below. This must be done not later than March 13, 2022. On March 14, 2027, a google sheet containing the data gathered through this google form (corresponding names will not be included for data privacy) will be generated. This will be posted in your respective google classrooms. You are expected to make your computations and corresponding interpretations based on this data only. You can present the whole hypothesis-testing procedure including your recommendations based on your findings using any platform convenient to you (PowerPoint, PDF, etc.) and submit it in your google classwork. Your work will be graded using the rubric on the next page. How to Measure Your Waist Circumference 1. Stand up straight and exhale. 2. Wrap a tape measure Just above your hip bones. J. Hold tape measure flot against body, not too tight, and take a reading "Use centimeters in measuring both your waist and neck circumferences. *Ask a housemate to read the measurement for your neck circumference. 14 15 17 11Grading Rubric Category Advanced Proficient Becoming Novice Proficient Mastery of concepts Partial Poor/little Mastery of involving hypothesis understanding of understanding of Related testing is shown concepts involving concepts involving Concepts, through accurate hypothesis testing is hypothesis testing as Accuracy and computation of the evident as shown in shown by the Precision XXX test value, use of the solution which incorrect values appropriate contains minor needed to make the distribution tables, errors. correct decision due and correct decision to major errors in as to reject or accept solution. the null hypothesis. 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It It is very casy to read. are easy to follow is a bit difficult or follow and read and read. confusing to read and from start to finish. follow.ABM HGAA HGAB STEMA STEM B Circumference of Circumference of Circumference of Circumference of Circumference of Respondent No Waist Neck Waist Neck Waist Neck Waist Neck Waist Neck 70.4 33.3 29 26 22 62 5 96.5 40 30 36 32.5 14.6 62.2 32 36.1 33 33.5 34 27.8 26.5