Final answer:
When the incident rate of colon cancer for a specific New York county is used for that county alone, it is a parameter. When that same rate is used to infer information about the state of New York, it becomes a statistic.
Step-by-step explanation:
The question revolves around the concepts of incidence rate, parameter, and statistic. In the first scenario, where you collect data about colon cancer rates within one specific New York county, the incidence rate of 120 per 100,000 is a parameter because it is a measure that describes the entire population of that county.
In the second scenario, when you want to extend this measure to make a statement about the broader New York State population, this incidence rate becomes a statistic. This is because it now serves as an estimate based on a sample—the specific county's data—used to make inferences about the larger population of New York State which has not been fully observed.