Final answer:
Researchers should form blocks such that each block consists of subjects from the same country in a randomized block design for potential vaccine testing for malaria. This method controls for country-specific variables, allowing for an accurate assessment of the vaccine. The correct option is (C).
Step-by-step explanation:
When researchers want to test a potential vaccine for malaria using a randomized block design, subjects within each block should all live in the same country from each other. This method, denoted as option 'c', ensures that environmental and demographic variables that could potentially affect the outcome are kept constant within each block. Thus, the variance within blocks is minimized, and the vaccine's effectiveness can be more accurately assessed by comparing the differences between the blocks.
By having subjects in each block from the same country, researchers control for factors like genetic background, exposure to malaria, local medical practices, and other country-specific variables, making the results within each block as homogenous as possible.
Randomization then ensures that any remaining variability not accounted for by the blocking is equally distributed between the vaccine and placebo treatments, allowing for a fair comparison of their effects on preventing malaria.