Final answer:
The described sampling method where voters are grouped by race and a few groups are selected for interviews through a lottery is known as cluster sampling.
Step-by-step explanation:
The type of sampling described is cluster sampling. In this method, the television station is grouping voters by race, and these groups serve as 'clusters'. A lottery is then used to select which clusters to interview, and every voter within the selected clusters is asked for an interview. This two-stage process is characteristic of cluster sampling, where the first stage involves forming clusters and the second stage includes randomly choosing which clusters to assess.