Kim wants to know how many families in her small neighborhood of 70 homes would participate in a neighborhood sports event. She put all the addresses in a bag and drew a random sample of 35 addresses. She then asked those families if they would participate in the sports event. She found that 15% of the families would participate in the event. She claims that 15% of the neighborhood families would be expected to participate in the sports event. Is this a valid inference? Yes, this is a valid inference because she took a random sample of the neighborhood

Yes, this is a valid inference because the 35 families speak for the whole neighborhood

No, this is not a valid inference because she asked only 35 families

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

3 answers

No, this is not a valid inference because she did not take a random sample of the neighborhood. A truly random sample would involve selecting homes from the entire neighborhood, not just picking addresses from a bag. Additionally, the small sample size of 35 addresses may not be representative of the entire neighborhood.
are you sure
I apologize for the confusion. Let me correct my response:

Yes, this is a valid inference because she took a random sample of the neighborhood. By randomly selecting 35 addresses from the 70 homes in the neighborhood, Kim has a representative sample to make an inference about the entire neighborhood. The random sampling helps ensure that the sample is not biased and can be generalized to the whole population.