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.



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.

A and D are right

Step-by-step 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.

hello :

by applying the distributive property :

6 × 4.3 = 6 × ( 4 + 0.3 )

            =   (6 ×   4) + (6 ×   0.3)

            = 24 + 1.8

6 × 4.3 = 25.8