In a survey question, generalization means using answers from the people surveyed to make a claim about a larger group. First identify who was actually asked and how they were chosen. A high percentage tells you what the surveyed people said, but it does not make them representative of people the survey never reached.
Hints
- Hint 1
A sample is the group that was surveyed. Trace how people entered this sample: were they chosen at random from a larger group, or were they the next people to pass a particular booth?
- Hint 2
“Most” means more than half. Once you know the surveyed runners’ preference, ask which conclusion stays closest to those runners rather than switching to people the survey did not reach.
Step-by-step
Match the conclusion to the surveyed group
Step 1Identify who the survey reached
No Desmos needed. A calculator cannot tell you who was surveyed. A sample is the group asked. The booth surveyed the next finishers at this marathon, not runners randomly chosen from across the country. So the results cannot represent all long-distance runners.
- Step 2
Interpret the survey percentage
“Most” means more than half, or more than . Since , most of the surveyed runners preferred the new flavor. That percentage describes their answers; it does not widen the group the survey can represent.
- Step 3
Choose the claim that fits the evidence
The supported conclusion is about runners who finished this marathon and tried both samples: most of the surveyed runners fit that description and preferred the new flavor. The survey did not ask customers generally or spectators. Keep a conclusion tied to the people the survey reached. Choice D.