a correct statement?

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.8: Probability
Problem 38E
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Please explain each option with a correct explanation.

Which of the following is a correct statement?
Random selection ensures that we get precise and accurate estimates.
O A large sample size always ensures that our sample is representative of the
population.
O If all other things are equal, we need a larger sample size for a larger population
than when sampling from a small population in order to achieve the same
precision.
O We do not need to randomize if our sample size is large enough.
In a properly chosen sample, an estimate will be less variable with a large sample
size in comparison to a small sample size.
Transcribed Image Text:Which of the following is a correct statement? Random selection ensures that we get precise and accurate estimates. O A large sample size always ensures that our sample is representative of the population. O If all other things are equal, we need a larger sample size for a larger population than when sampling from a small population in order to achieve the same precision. O We do not need to randomize if our sample size is large enough. In a properly chosen sample, an estimate will be less variable with a large sample size in comparison to a small sample size.
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