Construct a 99 confidence interval for the difference


In randomized, double-blind clinical trials of a new vaccine, monkeysmonkeys were randomly divided into two groups. Subjects in group 1 received the new vaccine while subjects in group 2 received a control vaccine. After the first dose, 111 of 727 subjects in the experimental group (group 1) experienced vomitingvomiting as a side effect. After the first dose, 54 of 628 of the subjects in the control group (group 2) experienced vomitingvomiting as a side effect. Construct a 99% confidence interval for the difference between the two population proportions, p 1 minus p 2p1-p2. Use x 1=111, n 1 =727, x2=54, and n2=628

The 99% confidence interval for p 1 - p 2 is ( __ , __ )

(Use ascending order. Round to three decimal places as needed.)

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