Final answer:
The sample of health care workers used handrubbing with alcohol.
Step-by-step explanation:
In order to determine whether the sample of health care workers used handrubbing with alcohol or handwashing with soap, we need to compare the mean bacterial count per hand between the two methods. The mean bacterial count per hand for health care workers who used handrubbing was 36, while for those who used handwashing it was 71. Since the mean bacterial count in the sample of workers is greater than 80, we can conclude that the workers used handrubbing with alcohol, as the higher count suggests a less effective method of reducing bacteria.