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 95%-confidence interval for the estimate.

In a study comparing the perceived effects of two painkillers, 200 randomly chosen persons were given the first one, and 93% reported noticeably lessening of their pain. 96% of the 450 people who received the other painkiller reported feeling noticeably relieved.

We have to estimate the percentage of adults overall who would say they felt their pain was relieved after taking each painkiller. give the estimate's 95% confidence interval.

We know that,

p=(186+432)/(200+450)

p=0.95

We get

L.B= 0.93-0.96+0.96√0.95(1-0.95)(1/200+1/450)

L.B= 0.07

Therefore, 7% percentage of adults overall who would say they felt their pain was relieved after taking each painkiller.

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