Final answer:
The range of the true percentage of people who chose pizza as their favorite food is between 30% and 34%, given a survey result of 32% with a 2% accuracy margin.
Step-by-step explanation:
The student is asking about the range within which the true percentage of people who chose pizza as their favorite food might lie, given a survey result of 32% and a 2% accuracy margin. To find the maximum and minimum percentages, we add and subtract the accuracy margin from the reported result.
The maximum percentage of people who chose pizza is calculated by adding the accuracy margin to the reported percentage:
- Maximum = Reported Percentage + Accuracy Margin
- Maximum = 32% + 2%
- Maximum = 34%
The minimum percentage is found by subtracting the accuracy margin from the reported percentage:
- Minimum = Reported Percentage - Accuracy Margin
- Minimum = 32% - 2%
- Minimum = 30%