Question
A health inspector wants to test the water quality of 58,000 homes in a city. Which method of gathering data would likely create a representative sample of these homes? 햠 Test the water in 150 homes that have reported water quality issues. 햡 Test the water in 150 homes in one neighborhood. 햢 Test the water in 150 randomly chosen homes. 햣 Test the water in 150 newly built homes.
Answers
GPT-4o mini
To create a representative sample of the 58,000 homes in the city, the best method would be:
**Test the water in 150 randomly chosen homes.**
This approach ensures that every home in the population has an equal chance of being selected, which helps to avoid biases and allows for a more accurate representation of the water quality across the entire city. The other options are more likely to introduce bias because they focus on specific subgroups (homes with issues, homes in one neighborhood, or newly built homes) that may not accurately reflect the overall population.
**Test the water in 150 randomly chosen homes.**
This approach ensures that every home in the population has an equal chance of being selected, which helps to avoid biases and allows for a more accurate representation of the water quality across the entire city. The other options are more likely to introduce bias because they focus on specific subgroups (homes with issues, homes in one neighborhood, or newly built homes) that may not accurately reflect the overall population.