Question

In randomized, double blind dinical trials of a new vaccine, children were randomly divided into two groups Subjects in group received the new vaccine while subjects in group 2 received a control vaccine Ater the second dose 129 of 709 subjects in the experimental group group 1) experienced fever as a side effect her the second dome, 86 of 550 of the subjects in the control group group 2) experienced ferves as a side effect Does the evidence suggest that a higher proportion of subjects in group experienced fever as a side effect than subjects in group 2 at the - 0.10 level of significance? Verlly the model requirements Select all the apply A. The sample size is less than 5% of the population size for each sample B. (1) 2 16 and 19 (1) 210 BC. The samples are dependent D. The data come from a population that is normally distributed DE. The sample size is more than 5% of the population size for each sample F. The samples are independent Determine the land amative hypotheses HT Find the oth the test

Answer 1

Answer:

Given,

Ho : p1 - p2 <= 0

Ha : p1 - p2 > 0

p1^ = x1/n1 = 129/709 = 0.182

p2^ = x2/n2 = 86/590 = 0.1458

n1p1^(1-p1^) & n2p2^(1-p2^) > 10

p = (x1 + x2)/(n1 + n2)

substitute values

= (129 + 86)/(709 + 590)

= 0.1655

test statistic z = (p1^ - p2^)/sqrt(pq(1/n1 + 1/n2)

substitute values

= (0.182 - 0.1458)/sqrt(0.1655(1-0.1655)(1/709 + 1/590))

= 1.75

P value = P(z > 1.75)

= 0.0400592 [since from z table]

= 0.0401

Here p value < alpha, so we reject Ho.

So there is sufficient evidence to support the claim.