Question

Predict the election Just before a presidential election, a national opinion poll increases the size of its weekly random sample from the usual 1500 people to 4000 people. (a) Does the larger random sample reduce the bias of the poll result? Explain. (b) Does it reduce the variability of the result? Explain.

Name: Problem 18, Chapter 7: The Practice of Statistics for AP
Uploaded: 2020-05-22T02:41:55-08:00
Duration: 2 min 48 s
Channel: Jacquelinne S. Mejia Sandoval
Description: Predict the election Just before a presidential election, a national opinion poll increases the size of its weekly random sample from the usual 1500 people to 4000 people. (a) Does the larger random sample reduce the bias of the poll result? Explain. (b) Does it reduce the variability of the result? Explain.

   Predict the election Just before a presidential election, a national opinion poll increases the size of its
weekly random sample from the usual 1500 people to 4000 people.
(a) Does the larger random sample reduce the bias of the poll result? Explain.
(b) Does it reduce the variability of the result? Explain.

The Practice of Statistics for AP

Daren S. Starnes,… 4th Edition

Chapter 7, Problem 18

Instant Answer

Solved by Expert Jacquelinne S. Mejia Sandoval

05/22/2020

Step 1

It is not related to the size of the sample, but rather to how the sample is collected. If a statistic is biased, it means that it consistently overestimates or underestimates the true value. In the context of an opinion poll, bias could be introduced if certain Show more…

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Predict the election Just before a presidential election, a national opinion poll increases the size of its weekly random sample from the usual 1500 people to 4000 people. (a) Does the larger random sample reduce the bias of the poll result? Explain. (b) Does it reduce the variability of the result? Explain.

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Key Concepts

Sampling Bias

Sampling bias is the systematic error that occurs when a sample is not representative of the population due to flaws in the selection process. This bias is related to how the data is collected rather than the sample size; simply increasing the sample size does not necessarily decrease bias if the methods of selection remain unchanged.

Sampling Variability

Sampling variability refers to the random fluctuations that occur in survey results when different samples are taken from the same population. By increasing the sample size, the estimate becomes more stable and closer to the true population parameter, effectively reducing the variability or standard error of the results.

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