How would changes in sample size affect the margin of error, assuming all esle remained constant?

A. A larger sample size would cause the interval to narrow.

B. A larger sample size would cause the interval to widen.

C. It would not have any effect on the margin of error.

D. A smaller sample size would cause the interval to narrow.

Question

Mathematics

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7 September, 18:10

How would changes in sample size affect the margin of error, assuming all esle remained constant?

A. A larger sample size would cause the interval to narrow.

B. A larger sample size would cause the interval to widen.

C. It would not have any effect on the margin of error.

D. A smaller sample size would cause the interval to narrow.

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Answers (1)

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Ronald Galloway · Answer 1

A. A larger sample size would cause the interval to narrow.

Step-by-step explanation:

Sampling Error is error caused by observing sample instead of population. It is denoted by difference between population parameter (population mean) & sample statistic (sample mean).

Margin Error is a statistical measure of random sampling error in a survey results. High margin error implies less reliability of sample results to draw conclusion about population; and less margin error implies more reliability of sample results to draw conclusion about population.

Margin error is inversely related to sample size : large sample size implies low margin error, and small sample size implies high margin error. So, A larger sample size would cause the margin error interval to narrow.