A test is conducted in order to find if there is a difference at the α=0.01 level of significance. In some randomized, double-blind clinical trials of a new vaccine, children 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, 67 of 607 subjects in the experimental group (group 1) experienced fever as a side effect. After the first dose, 109 of 728 subjects in the control group (group 2) experienced fever as a side effect.
-What is the P-value of the test result?
-What is the test statistics?
-What is the positive value of the critical value?
-What is the upper boundary of the 99% Confidence Interval of p1-p2?
I have not reduce the fraction of p1 and p2 for calculation to get accurate results of test statistic and upper boundary.
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