a doctor released the results of clinical trails for a vaccine to prevent a disease. in these clinical trials, 20,000 children were randomly divided in two groups. the subject in group 1 were given the vaccine, while subjects in group 2 were given the placebo. of the 10,000 children in the experimental group, 230 developed the disease. of the 10,000 children in the control group, 480 developed the disease. estimate the difference in the proportion of the children who got the disease when having the vaccine versus those who did not.
a. conduct a 99% confidence interval for the difference in the proportions
b. interpret the confidence interval, if appropriate
c. what is the margin error?
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