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Show transcribed image text A study of 678 women who had gone off birth control with the intention of becoming pregnant. Table B.8 includes information on whether or not a womar was a smoker and whether or not the woman became pregnant during the first cycle. We wish to estimate the difference in the proportion who successfully get pregnant, between smokers and non-smokers. 1. 3. Classroom Games Two professors24 at the University of Arizona were interested in whether having students actually play a game would help them analyze theoretical properties of the game. The professors performed an experiment in which students played one of two games before coming to a class where both games were discussed. Students were randomly assigned to which of the two games they played, which we'll call Game 1 and Game 2. On a later exam, students were asked to solve problems involving both games, with Question 1 referring to Game 1 and Question 2 referring to Game 2. When comparing the performance of the two groups on the exam question students who had played Game 1 ) would be higher than the mean for the other students, μ2. so they considered the hypotheses H vs H. : μ.> μ TableB.8Smoking and pregnancy rate NON-SMOKER 206 337 543 SMOKER 38 TOTAL PREGNANT NON-PREGNANT 97 TOTAL 244 434 678 135 (a) Find the best point estimate for the difference in proportions. (b) Use Stater or other technology to find and interpret a 90% confidence interval for the difference in proportions. Is it plausible that smoking has no effect on pregnancy rate? The paper states: "test of difference in means results in a p-value of 0.7619." Do you think this provides sufficient evidence to conclude that playing Game 1 helped student performance on that exam question? Explair 2. Age of Patients with Back Pain. Figure A.9 shows a histogram of the ages of n 279 patients being treated for back pain. 106 Estimate the mean and standard deviation of the ages of back pain patients. If they were to repeat this experiment 1000 times, and there really is no effect from playing the game, roughly how many times would you expect the results to be as extreme as those observed in the actual study? 50 40 30 20 10 When testing a difference in mean performance between the two groups on exam Question 2 related to Game 2 (so now the alternative is reversed to be Hai μ μ2 where μ1 and μ2 represent the mean on Question 2 for the respective groups), they computed a p-value of 0.5490. Explain what it means (in the context of this problem) for both p-values to be greater than 0.5 0 10 20 30 40 50 60 70 80 Age Figure A.9 Age of patients with back pain çš United States)
A study of 678 women who had gone off birth control with the intention of becoming pregnant. Table B.8 includes information on whether or not a womar was a smoker and whether or not the woman became pregnant during the first cycle. We wish to estimate the difference in the proportion who successfully get pregnant, between smokers and non-smokers. 1. 3. Classroom Games Two professors24 at the University of Arizona were interested in whether having students actually play a game would help them analyze theoretical properties of the game. The professors performed an experiment in which students played one of two games before coming to a class where both games were discussed. Students were randomly assigned to which of the two games they played, which we'll call Game 1 and Game 2. On a later exam, students were asked to solve problems involving both games, with Question 1 referring to Game 1 and Question 2 referring to Game 2. When comparing the performance of the two groups on the exam question students who had played Game 1 ) would be higher than the mean for the other students, μ2. so they considered the hypotheses H vs H. : μ.> μ TableB.8Smoking and pregnancy rate NON-SMOKER 206 337 543 SMOKER 38 TOTAL PREGNANT NON-PREGNANT 97 TOTAL 244 434 678 135 (a) Find the best point estimate for the difference in proportions. (b) Use Stater or other technology to find and interpret a 90% confidence interval for the difference in proportions. Is it plausible that smoking has no effect on pregnancy rate? The paper states: "test of difference in means results in a p-value of 0.7619." Do you think this provides sufficient evidence to conclude that playing Game 1 helped student performance on that exam question? Explair 2. Age of Patients with Back Pain. Figure A.9 shows a histogram of the ages of n 279 patients being treated for back pain. 106 Estimate the mean and standard deviation of the ages of back pain patients. If they were to repeat this experiment 1000 times, and there really is no effect from playing the game, roughly how many times would you expect the results to be as extreme as those observed in the actual study? 50 40 30 20 10 When testing a difference in mean performance between the two groups on exam Question 2 related to Game 2 (so now the alternative is reversed to be Hai μ μ2 where μ1 and μ2 represent the mean on Question 2 for the respective groups), they computed a p-value of 0.5490. Explain what it means (in the context of this problem) for both p-values to be greater than 0.5 0 10 20 30 40 50 60 70 80 Age Figure A.9 Age of patients with back pain çš United States)
