In randomized, double-blind clinical trials of a new vaccine, monkeys were rando
ID: 2906868 • Letter: I
Question
In randomized, double-blind clinical trials of a new vaccine, monkeys 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 second dose, 129 of 439 subjects in the experimental group (group 1) expenienced drowsiness as a side effect. After the second dose, 129 of 566 of the subjects in the control group (group 2) experienced drowsiness asaside efect Doeste evidence suggest that a higher proportion of subjects ingroup 1 experienced fever as a side efect than sub ects n g up 2 at the a#005 level of signer o? Venify the model requirements. Select all that apply. A ) 10 and n2 (1-) 10 .xB The sample size is more than 5% ofthe population sizo for oach sample C. The samples are dependent vo. The samples are independent. XE. The data come from a population that is normally distributed *F The sample size is less than 6% ofthe population size for each sample. Determine the null and altemative hypotheses ind the test statistic for this hypothesis test (Round to wo decimal places as needed)
Explanation / Answer
Sol:
H0:p1=p2
H1:p1>p2
alpha=0.05
Z=p1^-p2^/sqrt(p1^(1-p1^)/n1+p2^(1-p2^)/n2)
p1^=x1/n1=129/439=0.2938497
p2^=x2/n2=129/566=0.2279152
Z=(0.2938497-0.2279152)/sqrt(0.2938497*(1-0.2938497)/439+0.2279152*(1-0.2279152)/566)
Z=2.37
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