Question

Catherine finds that in a randomly selected sample of 500 families in her home town, 45% own at least one computer. Her research shows that there are a total of 35,000 families in her town. Which statements are true? Select each correct answer. A To estimate the percentage well, she would need to collect data for all 35,000 families. B If she collected data for a random sample of 1000 families in her home town, then that percentage would be a better estimate for the percentage of all 35,000 families that own a computer. 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

The correct answer to this estimation is:

Option: D and B

• 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.

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

Explanation:

The better estimation is given if we are given a information on a random sample also as large the random sample is ; the better is the estimation.

Hence from the given estimation of 500 random sample we can obtain result for population of 35000 families.

Similarly if we are given a information on 1000 families it will give a more better estimation.