For this statement about sampling, determine whether it is True or False.

We can eliminate sampling error by selecting an unbiased sample.

False

Question

For this statement about sampling, determine whether it is True or False.

We can eliminate sampling error by selecting an unbiased sample.

False

BlackTom AI · Accepted Answer

The statement to evaluate is about sampling and claims that we can eliminate sampling error by selecting an unbiased sample.

First, consider what sampling error is: it is the natural variability that arises from choosing a subset (sample) of the population rather than studying every member. This error stems from the fact that a sample may not perfectly reflect the population due to random variation.

Next, define bias versus sampling error. An unbiased sample refers to the sampling method not systematically over- or under-representing any group; it addresses bias. However, even with an unbiased sample, there will still be sampling error because the sample is only a portion of the population and will not match the population exactly by chance alone.

Why the statement is false: eliminating sampling error would require studying the entire population (a census), not just obtaining an unbiased sample. An unbiased sample minimizes bias but cannot remove the inherent randomness that causes data from a sample to differ from the population.

Moreover, reducing sampling error is possible by increasing the sample size or using sampling designs that improve precision, but it cannot be completely eliminated unless the entire population is measured or the phenomenon being measured is perfectly identical across units (which is not realistic).

In contrast, option scenarios that claim elimination of sampling error through bias reduction alone would be incorrect because bias control and sampling error are related but distinct concepts; addressing one does not automatically remove the other.

To summarize: an unbiased sample reduces bias, but sampling error persists due to random variation inherent in sampling a subset of the population.

For this statement about sampling, determine whether it is True or False. We can eliminate sampling error by selecting an unbiased sample. False多重下拉选择题

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