Question

Sue wants to know how many families in her small neighborhood of 50 homes would volunteer to help at a neighborhood animal shelter. She put all the addresses in a bag and drew a random sample of 25 addresses. She then asked those families if they would volunteer to help at the shelter. She found that 18% of the families would volunteer to help at the shelter. She claims that 18% of the neighborhood families would be expected to help at the animal shelter. Is this a valid inference? Yes, this is a valid inference because the 25 families speak for the whole neighborhood

Yes, this is a valid inference because she took a random sample of the neighborhood

No, this is not a valid inference because she only asked 25 families

No, this is not a valid inference because she did not take a random sample of the neighborhood

Answer 1

are you sure

Answer 2

No, this is not a valid inference because she only asked 25 families. In order to make a valid inference about the entire neighborhood, she would need to survey a larger and more representative sample of households.

Answer 3

I apologize for the confusion. Let me clarify - in this scenario, Sue did take a random sample of the neighborhood by drawing 25 addresses from a bag containing all 50 addresses. So, it is indeed a valid inference to say that 18% of the neighborhood families would be expected to help at the animal shelter based on the responses of the 25 families she surveyed. Therefore, the correct answer is:

Yes, this is a valid inference because she took a random sample of the neighborhood.