MATH1127: Introduction to Statistics (Asynchronous (100% Online)) 20337 ... Chapter 3: Basic Probability Chapter 3: Probability (Add and Mult) Score: 16.63/38 17/38 answered Question 13 Use the following probabilities to answer the question. Round to 4 decimal places. P(A) = 0.43, P(B) = 0.52, P(A and B) - 0.05. P(B | A) = Submit Question - IMG_20221125_17....jpg IMG_202 IMG_20221125_17....jpg - IMG_20221125_17....jpgMATH1127: Introduction to Statistics (Asynchronous (100% Online)) 20337 Chapter 3: Basic Probability Chapter 3: Probat Question 16 A migraine is a particularly painful type of headache, which patients sometimes wish to treat with acupuncture. To determine whether acupuncture relieves migraine pain, researchers conducted a randomized controlled study where 89 females diagnosed with migraine headaches were randomly assigned to one of two groups: treatment or control. 43 patients in the treatment group received acupuncture that is specifically designed to treat migraines. 46 patients in the control group received placebo acupuncture (needle insertion at non-acupoint locations). 24 hours after patients received acupuncture, they were asked if they were pain free. Results are summarized in the contingency table below (Allais, 2011). (round answers to 2 decimal places) Pain Free: Yes Pain Free: No Total Treatment 10 33 43 Control 2 44 46 Total 12 77 89 a) What percent of patients in the treatment group were pain free 24 hours after receiving acupuncture? b) What percent of patients in the control group were pain free after 24 hours? c) At first glance, does acupuncture appear to be an effective treatment for migraines? Explain your reasoning. O no, because there were fewer people in the treatment group O no, because more than half of the individuals in the treatment group still experience pain 24 hours later yes, because a higher percentage of individuals in the treatment group were pain-free after 24 hours IMG_20221125_17....jpg IMG_20221125_17....jpg IMG_20221125_17..jp9 IMG_20221125_17....jpgMATH1127: Introduction to Statistics (Asynchronous (100% Online)) 20337 ... Chapter 3: Basic Probability Chapter 3: Proba Ireatment IV 45 Control 2 44 46 Total 12 77 89 a) What percent of patients in the treatment group were pain free 24 hours after receiving acupuncture? % b) What percent of patients in the control group were pain free after 24 hours? % c) At first glance, does acupuncture appear to be an effective treatment for migraines? Explain your reasoning. O no, because there were fewer people in the treatment group O no, because more than half of the individuals in the treatment group still experience pain 24 hours later yes, because a higher percentage of individuals in the treatment group were pain-free after 24 hours yes, because more individuals in the treatment group were pain-free after 24 hours d) Do the data provide convincing evidence that there is a real pain reduction for those patients in the treatment group? Or do you think that the observed difference might just be due to chance? Yes, 23% is much higher than 4% It is impossible to tell merely by comparing the sample proportions because the difference could be the result of random error in our sample Submit Question IMG_20221125_17....jpg - IMG_20221125_17....jpg IMG_ 20221125_17....jpg - IMG_20221125_17....jpg Type here to search OChapter 3: Probability (Add and Mult) Score: 16.63/38 17/38 answered Question 17 The table summarizes results from pedestrian deaths that were caused by automobile accidents. Pedestrian Deaths Driver Pedestrian Intoxicated? Intoxicated? Yes No Yes 41 77 No 260 608 If two different pedestrian deaths are randomly selected, find the probability that they both involved drivers that were not intoxicated. Report the answer rounded to four decimal place accuracy. Submit QuestionMATH1127: Introduction to Statistics (Asynchronous (100% Online)) 20337 ... Chapter 3: Basic Probability Chapter 3: Probability (Add and Mult) Score: 16.63/38 17/38 answered Question 18 The table summarizes results from 982 pedestrian deaths that were caused by automobile accidents. Pedestrian Deaths Driver Pedestrian Intoxicated? Intoxicated? Yes No Yes 41 67 No 289 585 If one of the pedestrian deaths is randomly selected, find the probability that the pedestrian was intoxicated. Please enter a decimal to 4 places. Submit Question. .. Chapter 5: basic Probability Chapter 3: Probability (Add and Mult) Score: 16.63/38 17/38 answered Question 19 The table summarizes results from 988 pedestrian deaths that were caused by automobile accidents. Pedestrian Deaths Driver Pedestrian Intoxicated? Intoxicated? Yes No Yes 64 75 No 281 568 If one of the pedestrian deaths is randomly selected, find the probability that neither the pedestrian nor the driver was intoxicated. Please enter a decimal to 4 places. Submit Question IMG_20221125_17....jpg IMG_20221125_17....jpg IMG 20221125_17.-jp9 4 IMG_ 202MATH1127: Introduction to Statistics (Asynchronous (100% Online)) 20337 Chapter 3: Basic Probability Chap Chapter 3: Probability (Add and Mult) Score: 16.63/38 17/38 answered Question 21 A survey of athletes at a high school is conducted, and the following facts are discovered: 47% of the athletes are football players, 44% are basketball players, and 19% of the athletes play both football and basketball. An athlete is chosen at random from the high school: what is the probability that the athlete is either a football player or a basketball player? % (Please enter your answer as a percent) Submit Question IMG_20221125_17....jpg IMG_20221125_17....jpg IMG_20221125_17...jpg IMG_2022112