In a clinical trial of a vaccine, 10,000 children were randomly divided into two
ID: 3205511 • Letter: I
Question
In a clinical trial of a vaccine, 10,000 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 5,000 children in the experimental group, 76 developed the disease. Of the 5,000 children in the control group, 111 developed the disease. Chose the correct null and alternative hypotheses. The p-value was found to be 0.007. What is the result of this hypothesis test?
Answer 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 =0.10.
Answer 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 =0.10.
Answer 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 =0.10.
Answer 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 =0.10.
Explanation / Answer
In a clinical trial of a vaccine, 10,000 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 5,000 children in the experimental group, 76 developed the disease. Of the 5,000 children in the control group, 111 developed the disease. Chose the correct null and alternative hypotheses. The p-value was found to be 0.007. What is the result of this hypothesis test?
Ans: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 =0.10.