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.If there are 1500 students attending the school, based on Tenisha's data, 300 students would prefer flavored water.
Do you agree? Why
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No, I do not agree with the statement that 300 students would prefer flavored water based on Tenisha's data. In order to make a reliable estimate of the proportion of students who prefer flavored water, it is important to have a larger and more representative sample size. Tenisha's sample size of 10 students may not accurately reflect the preferences of the entire school population. Additionally, the proportion of students who prefer flavored water may vary among different grade levels or other demographic factors, so a larger and more diverse sample is needed to make a more accurate estimate. Keisha's survey with a sample size of 100 students provides a better estimate, but still may not be sufficient to accurately estimate the preferences of the entire school population.
1 answer