Researchers carried out an experiment to evaluate the effectiveness of using acupuncture to treat heel pain. In this experiment, 84 patients experiencing heel pain were randomly assigned to one of two groups. One group received acupuncture and the other group received a sham treatment that consisted of using a blunt needle that did not penetrate the skin. Of the 43 patients in the sham treatment group, 16 reported pain reduction of more than 13 points on a foot pain scale (this was considered a meaningful reduction in pain). Of the 41 patients in the acupuncture group, 29 reported pain reduction of more than 13 points on the foot pain scale.   (a) Use a 95% confidence interval to estimate the difference in the proportion who experience a meaningful pain reduction for the acupuncture treatment and for the sham treatment. (Use pacupuncture − psham. Use a table or SALT. Round your answers to four decimal places.)    ,     (b) What does the interval in part (a) suggest about the effectiveness of acupuncture in reducing heel pain? The confidence interval suggests that acupuncture is more effective in reducing heel pain than the sham treatment.The confidence interval suggests that the sham treatment is more effective in reducing heel pain than acupuncture.    The confidence interval suggests that there is no difference in effectiveness between acupuncture and the sham treatment in reducing heel pain.

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Researchers carried out an experiment to evaluate the effectiveness of using acupuncture to treat heel pain. In this experiment, 84 patients experiencing heel pain were randomly assigned to one of two groups. One group received acupuncture and the other group received a sham treatment that consisted of using a blunt needle that did not penetrate the skin. Of the 43 patients in the sham treatment group, 16 reported pain reduction of more than 13 points on a foot pain scale (this was considered a meaningful reduction in pain). Of the 41 patients in the acupuncture group, 29 reported pain reduction of more than 13 points on the foot pain scale.
 
(a)
Use a 95% confidence interval to estimate the difference in the proportion who experience a meaningful pain reduction for the acupuncture treatment and for the sham treatment. (Use pacupuncture − psham. Use a table or SALT. Round your answers to four decimal places.)
 
  ,  
 
(b)
What does the interval in part (a) suggest about the effectiveness of acupuncture in reducing heel pain?
The confidence interval suggests that acupuncture is more effective in reducing heel pain than the sham treatment.The confidence interval suggests that the sham treatment is more effective in reducing heel pain than acupuncture.    The confidence interval suggests that there is no difference in effectiveness between acupuncture and the sham treatment in reducing heel pain.
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