In: Statistics and Probability
Conduct a test and find if there is a difference at the α=0.01 level of significance. Inrandomized, 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.
A. Construct the null hypothesis and the alternative hypothesis.
B. What is the P-value of the test result?
C. What is the test statistics?
D. What is the positive value of the critical value?
E. Do we have enough evidence to reject the null hypothesis?
F. What is the test conclusion?
G. What is the upper boundary of the 99% Confidence Interval of p1-p2?