alternative hypothesis, test statistic, p-value, assignment help
alternative hypothesis, test statistic, p-value, assignment help
In a clinical trial of a vaccine, 8,000 children were randomly divided into two groups. The subjects in group 1 (the experimental group) were given the vaccine while the subjects in group 2 (the control group) were given a placebo. Of the 4,000 children in the experimental group, 71 developed the disease. Of the 4,000 children in the control group, 119 developed the disease.
Determine whether the proportion of subjects in the experimental group who contracted the disease is less than the proportion of subjects in the control group who contracted the disease at the alphaαequals = 0.10 level of significance.
Choose the correct null and alternative hypotheses below.
A. H0 : p1 = p2 versus H1 : p1 ≠ p2
B. H0 : p1= 0 versus H1 : p1 > p2
C. H0 : p1 = p2 versus H1 : p1 < p2
D. H0 : p1 = p2 versus H1 : p1 < 0
Determine the test statistic.
z0 = _ (Round to two decimal places as needed.)
Determine the P-value.
The P-value is _ (Round to three decimal places as needed.)
What is the result of this hypothesis test?
A. Do not reject the null hypothesis because there is not sufficient evidence to conclude that the proportion of subjects in the experimental group who contracted the disease is less than the proportion of subjects in the control group at α = 0.10
B. Reject the null hypothesis because there is sufficient evidence to conclude that the proportion of subjects in the experimental group who contracted the disease is less than the proportion of subjects in the control group at α= 0.10
C. Reject the null hypothesis because there is not sufficient evidence to conclude that the proportion of subjects in the experimental group who contracted the disease is less than the proportion of subjects in the control group at α= 0.10
D. Do not reject the null hypothesis because there is sufficient evidence to conclude that the proportion of subjects in the experimental group who contracted the disease is less than the proportion of subjects in the control group at α = 0.10
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