Question

Trials for one of the Corona Vaccine candidates is being conducted by a major pharmaceutical lab based out of the United Kingdom. In these trials the researchers want to study if the antibodies that kill the Virus, increase after participants are injected with the Vaccine that they have developed.

To test the Vaccine, the trial has recruited 1000 participants. The researchers are taking participants' blood samples before the vaccine is injected, and 30 days after the vaccine is injected. Thus, they have data on the antibodies that each of these 1000 participants had before, and after they were injected with the vaccine.
To compare the antibodies (before, and after), what kind of statistical-test would the research team have to conduct?
Group of answer choices
A) Z-score
B) Regression
C) Paired t-test
D) Unpaired t-test, assuming equal variance
E) Unpaired t-test, assuming unequal variance

Answer 1

The research team would have to conduct a paired t-test to compare the antibodies before and after the participants were injected with the vaccine.

Step-by-step explanation:

The research team would have to conduct a paired t-test to compare the antibodies before and after the participants were injected with the vaccine. The paired t-test is used to compare the means of two related groups or conditions.

In this case, the researchers have data on the antibodies of each participant before and after the vaccine is injected. Since the groups are related (same participants before and after the injection), a paired t-test is appropriate to determine if there is a significant difference in the mean antibody levels before and after the vaccine.

The paired t-test compares the mean difference between the paired observations to zero. If the difference is significantly different from zero, it indicates a significant change in the antibodies after receiving the vaccine.