Suppose 45% of all the students at Andre’s school brought in a can of food to contribute to a canned food drive. Andre picks a representative sample of 25 students from the school and determines the sample’s percentage. He expects the percentage for this sample will be 45%.
1. Is Andre correct?

Select the correct choice.

Yes

No
2. Explain your reasoning.

A sample that is representative of a population has a distribution that closely resembles the distribution of the population in size, spread, and center. One example is, that a population can be all the ninth-grade students at one school. One sample will be all the ninth-grade students who are in the band.

Given, that 45% of students can bring canned food.

And Andre picked a sample representative of 25 students expecting to get exactly 45% sample percentage.

Here, the percentage cannot be exactly 45%, since 45% of 25 is=25*45%= 11.25. which is not a natural number.

So, If we take 11 samples, the percentage in the sample is close to 45%, but it cannot be exactly equal to 45% i.e. the population percentage for this sample.

Even if it in any way touch exactly 45%, there may be any variation seen in the sample.

Therefore Andre is not correct i.e. The percentage of this sample can not be equal to exactly 45%.

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