Question

Jack wants to know how many families in his small neighborhood of 60 homes would help organize a neighborhood fund-raising party. He put all the addresses in a bag and drew a random sample of 30 addresses. He then asked those families if they would help organize the fund-raising party. He found that 12% of the families would help organize the party. He claims that 12% of the neighborhood families would be expected to help organize the party. Is this a valid inference?

A. No, this is not a valid inference because he asked only 30 families
B. No, this is not a valid inference because he did not take a random sample of the neighborhood
C. Yes, this is a valid inference because he took a random sample of the neighborhood
D. Yes, this is a valid inference because the 30 families speak for the whole neighborhood

Answer 1

A is you answer because out of the 30 people that he asked twelve percent said yes but those 30 families aren't all the families in the neighborhood

Answer 2

A. No, this is not a valid inference because he asked only 30 families

Explanation:

Total families in Jack's neighborhood = 60

Random sample is drawn of 30 families.

Out of 30 families, 12% families would help organize the party.

Now Jack claims that 12% of the neighborhood families would be expected to help organize the party.

This inference is not valid because Jack estimated wrongly. He surveyed 30 families and 12% out of 30 and not 60 families are ready to participate.

He should have inferred that 24% of 60 families are ready to participate.