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.More people in Keisha’s sample prefer flavored water than the people in Tenisha’s sample.
In Tenisha's sample, the proportion of students who prefer flavored water is 2 out of 10, or 2/10 = 1/5 = 0.2, or 20%.
In Keisha's sample, the proportion of students who prefer flavored water is 17 out of 100, or 17/100 = 0.17, or 17%.
Since Keisha's sample size is larger than Tenisha's, it is generally more representative of the population. Therefore, Keisha's estimate of the proportion of students who prefer flavored water is likely to be more accurate.
Additionally, since the proportion of students who prefer flavored water in Keisha's sample (17%) is higher than in Tenisha's sample (20%), it suggests that more people in Keisha's sample prefer flavored water than in Tenisha's sample.