Question

5. In clinical trials of a certain drug, 435 were given a placebo and 129had an allergic reaction ( or at least claimed that they did). Among 831 people who were given 10mg of the drug, 220 had an allergic reaction.

a. Find the 95% confidence interval for the proportion of patients in the placebo group who had an allergic reaction. (

round to three decimal places)

b. Find the 95% confidence interval for the proportion of patients who took the drug who had an

allergic reaction. (round to three decimal places)

c. Comparing the results, what do you conclude? (Circle the correct answer)

i. Since there is no overlap, and the proportion is higher for the group that took the medication,

allergic reactions are a serious concern for people taki

ng the drug.

ii. Since there is no overlap, and the proportion is higher for the group that took the placebo, allergic

reactions are a serious concern for people taking the drug.

iii. Since there is overlap, and the proportions are likely to be the same

for both groups, so allergic

reactions are not a concern for people taking the drug.

Answer 1

(c).

iii. Since there is overlap, and the proportions are likely to be the same

for both groups, so allergic

reactions are not a concern for people taking the drug.