Tenisha wonders what proportion of students at her school would prefer flavored water in the vending machine than regular water. She surveyed a random sample of 10 students at school, and 2 of them said they would.

Question

Tenisha wonders what proportion of students at her school would prefer flavored water in the vending machine than regular water. She surveyed a random sample of 10 students at school, and 2 of them said they would.

Keisha didn’t think Tenisha’s estimate was very accurate, so she surveyed a random sample of 100 students, and 17 of them said they would.Keisha’s sample is a good representation of tthe population.

Do you agree? Why?

Answer 1

Yes, I agree that Keisha's sample is a good representation of the population. Both Tenisha's and Keisha's samples were random and unbiased, which is important for generalizing the results to the entire population. Keisha's sample size is larger than Tenisha's, which increases the reliability and precision of the estimate. Additionally, Keisha's sample proportion of 17% (17 out of 100) is likely to be closer to the true proportion of students who prefer flavored water than Tenisha's sample proportion of 20% (2 out of 10), which had a larger margin of error due to the smaller sample size.