Final answer:
A pretest/posttest design is used to ensure that random assignment has made comparison groups equal, allowing for the establishment of a causal connection between the independent and dependent variables.
Step-by-step explanation:
A researcher might choose a pretest/posttest design to ensure that random assignment made the treatment/comparison groups equal at the start of an experiment. Random assignment is crucial in this design to balance out any potentially confounding variables (lurking variables) across the groups, so that any differences observed in the posttest can likely be attributed to the manipulation of the independent variable. This method essentially controls for preexisting differences, allowing for a causal connection between the independent and dependent variables to be established when evaluating the efficacy of interventions, such as a new math textbook.
Therefore, Option b is correct answer.