Final answer:
The percentages of the town's residents who may favor expanding the park and recreation department range from 42% to 58%, based on the study's estimate with a 95% confidence interval.
Step-by-step explanation:
To determine the percentages of the town's residents who may favor expanding the park and recreation department, we need to consider the confidence interval provided. The study estimated that 50% of the registers of a town favor expanding the department, with an error range of plus or minus 8% points at 95% confidence. This means that the actual percentage of residents who favor expanding the department could range from 42% to 58%.Therefore, any percentage within this range can be considered as a possibility. For example, 45%, 50%, or 55% of the town's residents may favor expanding the park and recreation department, based on the study's estimate.
CORRECT QUESTION :
Suppose a study estimated that 50% of the registers of a town (with an error range of plus -8% points at 95% confidence) favor expanding the park and recreation department. Which of the following percentages of the town's residents may favor expanding the park and recreation department?