Statistics and Probability: Hypothesis Testing Exercises, Quizzes of Mathematics

Download Statistics and Probability: Hypothesis Testing Exercises and more Quizzes Mathematics in PDF only on Docsity! Name: Learning Area: STATISTICS AND PROBABILITY Grade &Section: Week: 5 Activity 1.1 Directions: State the null and the alternative hypotheses of the following statements. 1. A medical trial is conducted to test whether or not a new medicine reduces uric acid by 50%. 𝐻𝑜: ____________________________________________________ 𝐻𝑎: ____________________________________________________ 2. We want to test whether the general average of students in Math is different from 80%. 𝐻𝑜: ____________________________________________________ 𝐻𝑎: ____________________________________________________ 3. We want to test whether the mean height of Grade 8 students is 58 inches. 𝐻𝑜: ____________________________________________________ 𝐻𝑎: ____________________________________________________ Activity 1.2 The Tale of Tails Directions: Determine if one-tailed test or two-tailed test fits the given alternative hypothesis. 1. The mean height of Grade 12 students is less than 66 inches. 2. The standard deviation of their height is not equal to 5 inches. 3. Male Grade 7 and Grade 12 students differ in height on average. 4. The proportion of senior male students’ height is significantly higher than that of senior female students. Activity 1.3 Are You In or Out? Directions: Illustrate the rejection region given the critical value and identify if the t-values lie in the non-rejection region or rejection region. 1. 2. Activity 1.4: SOLVE ME! A medical trial is conducted to test whether or not a certain drug can treat a certain allergy. Upon trial, the t-value is computed as 1.311. Sketch and complete the table below to discuss the findings of the medical trial. 32925 2 435 12 95 0 OF 1 15 2 25 3 Ha: The computed | Decision: t-value is at the Ha! region. Justify your decision by writing an explanation in 5-10 sentences. Activity 1.5 Directions: Determine the notation of the given parameter, inequality symbol, or value of the parameter. Notation | Symbols | Value Parameter (wo.p.07) | (=#<, >,S,2) 1. Average salary of Polytechnic University of the Philippines (PUP) graduates is at most < 324,000. 2. The standard deviation of adults riding a bus is 1.5. _ = _ 3. Filipino employers offer a mean of 15 days of paid vacation for sick leave. — —_— 15 4. Survival rate of breast cancer in the Philippines is below 50%. .50 5. Mean number of vehicles in households is at most 1.9 personal vehicles. Lu