Question

Angela wants to know how many families in her neighborhood plan to attend the parade. She puts all 120 of the neighborhood addresses in a hat and draws a random sample of 30 addresses. She then asks those families if they plan to attend the parade. She finds that 40% of the families plan to attend the parade. She claims that 40% of the neighborhood families would be expected to attend the parade. Is this a valid inference?

Yes, this is a valid inference because the 30 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 did not take a random sample of the neighborhood
No, this is not a valid inference because she asked only 30 families

Answer 1

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

Step-by-step explanation:

A. Yes, this is a valid inference because the 30 families speak for the whole neighborhood - This is not correct because the families she asked do not speak for the whole neighborhood

C. No, this is not a valid inference because she did not take a random sample of the neighborhood - She did take random samples so this is not the answer "She puts all 120 of the neighborhood addresses in a hat and draws a random sample of 30 addresses."

D. No, this is not a valid inference because she asked only 30 families - I don't believe she needs to asked the whole neighborhood or more people because she did a random pull

So, the correct answer is B.

Answer 2

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