Final answer:
The sampling technique used in this scenario is stratified sampling.
Step-by-step explanation:
The sampling technique used in this scenario is stratified sampling. In stratified sampling, the population is divided into several homogeneous groups (strata) based on a specific characteristic, which in this case is the type of business. Then, a random sample is taken from each stratum. This method ensures that the sample is representative of the different types of businesses in private sector in Hawaii.