Question

Catherine finds that in a randomly selected sample of 500 families in her hometown, 45% own at least one computer.

Her research shows that there is a total of 35,000 families in her town. Which statements are true?

CHOOSE 2 ANSWERS pls thx.

!!MULTIPLE CHOICE!!

A: If she collected data for a random sample of 1000 families in her hometown, then that percentage would be a better estimate for the percentage of all 35,000 families that own a computer.

B: To estimate the percentage well, she would need to collect data for all 35,000 families.

C: Since her sample was only 500 families, it is not possible that the percentage is a good estimate for the percentage of all 35,000 families that own a computer.

D: Since her sample was randomly selected, she can reasonably infer that about 45% of the 35,000 families in her town own at least one computer.

Answer 1

Since her sample was randomly selected, she can reasonably infer that about 45% of the 35,000 families in her town own at least one computer.

Since her sample was only 500 families, it is not possible that the percentage is a good estimate for the percentage of all 35,000 families that own a computer.

Answers for K12

Answer 2

A and D are right

Explanation:

Given that Catherine finds that in a randomly selected sample of 500 families in her hometown, 45% own at least one computer.

Since larger sample sizes ensures accurate results, we have A is right

Similarly, if 500 are drawn at random, then the 45% will be accurate

Hence together we can say that

A: If she collected data for a random sample of 1000 families in her hometown, then that percentage would be a better estimate for the percentage of all 35,000 families that own a computer.

D: Since her sample was randomly selected, she can reasonably infer that about 45% of the 35,000 families in her town own at least one computer.

both are right.