Question

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?

Answer 1

Yes Kim's inference is valid.

Explanation:

Since she took a random sample of the neighbors she asked, she was able to make a valid inference.

Answer 2

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

Explanation:

As her survey was non bias and completely random and 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. So, yes, this is a valid inference because she took a random sample of the neighborhood.