1 In a study to compare the perceived effects of two pain relievers, 200 randomly selected adults were given the first pain reliever, and 93% indicated appreciable pain relief. Of the 450 individuals given the other pain reliever, 96% indicated experiencing appreciable relief. a Give an estimate for the difference in the proportions of all adults who would indicate perceived pain relief after taking the two pain relievers. Provide a bound on the error of estimation. b Based on your answer to part (a), is there evidence that proportions experiencing relief differ for those who take the two pain relievers? Why?

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8.31 In a study to compare the perceived effects of two pain relievers, 200 randomly selected
adults were given the first pain reliever, and 93% indicated appreciable pain relief. Of the 450
individuals given the other pain reliever, 96% indicated experiencing appreciable relief.
a Give an estimate for the difference in the proportions of all adults who would indicate
perceived pain relief after taking the two pain relievers. Provide a bound on the error of
estimation.
b Based on your answer to part (a), is there evidence that proportions experiencing relief
differ for those who take the two pain relievers? Why?
Transcribed Image Text:8.31 In a study to compare the perceived effects of two pain relievers, 200 randomly selected adults were given the first pain reliever, and 93% indicated appreciable pain relief. Of the 450 individuals given the other pain reliever, 96% indicated experiencing appreciable relief. a Give an estimate for the difference in the proportions of all adults who would indicate perceived pain relief after taking the two pain relievers. Provide a bound on the error of estimation. b Based on your answer to part (a), is there evidence that proportions experiencing relief differ for those who take the two pain relievers? Why?
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