1. Astudy was conducted to determine if patients recoveringfrom knee surgery sho
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1. Astudy was conducted to determine if patients recoveringfrom knee surgery should receive physical therapytwo or three timesper week. Suppose p3 represents the proportion of patients whoshowed improvement after one month of therapy three times a weekand p2 represents the proportion of patients who showed improvementafter one month of therapy twicw a week. A 95% confidence intervalfor p3-p2 is (0.12, 0.33) Give an interpretation of this confidenceinterval. A. We are 95% confident, based on the data, that theproportion of patients who show improvement with therapy threetimes per week is between 12% and 33% lower than the proportion whoshow improvement with therapy twicw a week. B. We are 95% confident, based on the data , that patients whoreceived therapy three times per week show between 12% and33% more improvement after one month than patients who receivetherapy twicw a week. C. We know that 95% of all knee surgery patients will showbetween 12% and 33% more improvement with therapy twice a weelinstead of three times per week. D. We are 95% confident, based on the data , that theproportions of patients who show improvement with therapy threetimes per week is between 12% and 33% higher than the proportionwho show improvement with therapy twice a week. E. We know that 95% of all knee- surgery patients will showbetween 12% and 33% more improvement wit htherapy three times perweek instead of twice a week. 2. Suppose the proportion of women who favor stricter guncontrol legislation is Pw and the proportion of men who favorstricter gun control legislation is Pm. The survey found a 90%confidence interval for Pw - Pm is (-0.08, 0.22). Give aninterpretation of this confidence interval. A. We knew that 90% of all random samples done on thepopulation will show that the proportion of men who favorstricter gun control is between 8%lower and 22% higher than theproportion of women who favoe stricter gun controllegislation. B. Wr are 90% confident that the proportion of men who favorstricter gun control legislation is between 8% lower and 22% higherthan the proportion of women who favor stricter gun control. C. We are 90% confident that the proportion of women who favorstricter gun control is between 8% and 22% higher than theproprotion of men who favoe stricter gun control. D. We know that 90% of all random samples done on thepopulation will show that the proportion of women who favorstricter gun comtro; is between 8% lower and 22% higher that theproportion of men who favor stricter gun control. E. We are 90% confident that women favor gun controllegislation that is between 8% less strict and 22% more strict thanlegislation favored by men. 1. Astudy was conducted to determine if patients recoveringfrom knee surgery should receive physical therapytwo or three timesper week. Suppose p3 represents the proportion of patients whoshowed improvement after one month of therapy three times a weekand p2 represents the proportion of patients who showed improvementafter one month of therapy twicw a week. A 95% confidence intervalfor p3-p2 is (0.12, 0.33) Give an interpretation of this confidenceinterval. A. We are 95% confident, based on the data, that theproportion of patients who show improvement with therapy threetimes per week is between 12% and 33% lower than the proportion whoshow improvement with therapy twicw a week. B. We are 95% confident, based on the data , that patients whoreceived therapy three times per week show between 12% and33% more improvement after one month than patients who receivetherapy twicw a week. C. We know that 95% of all knee surgery patients will showbetween 12% and 33% more improvement with therapy twice a weelinstead of three times per week. D. We are 95% confident, based on the data , that theproportions of patients who show improvement with therapy threetimes per week is between 12% and 33% higher than the proportionwho show improvement with therapy twice a week. E. We know that 95% of all knee- surgery patients will showbetween 12% and 33% more improvement wit htherapy three times perweek instead of twice a week. 2. Suppose the proportion of women who favor stricter guncontrol legislation is Pw and the proportion of men who favorstricter gun control legislation is Pm. The survey found a 90%confidence interval for Pw - Pm is (-0.08, 0.22). Give aninterpretation of this confidence interval. A. We knew that 90% of all random samples done on thepopulation will show that the proportion of men who favorstricter gun control is between 8%lower and 22% higher than theproportion of women who favoe stricter gun controllegislation. B. Wr are 90% confident that the proportion of men who favorstricter gun control legislation is between 8% lower and 22% higherthan the proportion of women who favor stricter gun control. C. We are 90% confident that the proportion of women who favorstricter gun control is between 8% and 22% higher than theproprotion of men who favoe stricter gun control. D. We know that 90% of all random samples done on thepopulation will show that the proportion of women who favorstricter gun comtro; is between 8% lower and 22% higher that theproportion of men who favor stricter gun control. E. We are 90% confident that women favor gun controllegislation that is between 8% less strict and 22% more strict thanlegislation favored by men.Explanation / Answer
1) Interpretation: We are 95% confident, based on the data ,that the proportions of patients who show improvement with therapythree times per week is between 12% and 33% higher than theproportion who show improvement with therapy twice a week. 2) Interpretation: We are 90% confident that women favor guncontrol legislation that is between 8% less strict and 22% morestrict than legislation favored by men.Related Questions
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