FORESTRY
AGRICULTURAL STATISTICS AND ECONOMICS
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Question
[CLICK ON ANY CHOICE TO KNOW THE RIGHT ANSWER]
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If random samples are selected from a population, what happens to the margin of error is the sample size is increased from 50 to 200?
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It decreases
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It increases
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It remains the same
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There is no way to know without more information.
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Explanation:
Detailed explanation-1: -From above equation we can infer that the standard error value decreases to half of the initial value when the sample size increases from 100 to 400 (i.e. by 4 times).
Detailed explanation-2: -In both formulas, there is an inverse relationship between the sample size and the margin of error. The larger the sample size, the smaller the margin of error. Conversely, the smaller the sample size, the larger the margin of error.
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