Question

If you decide you want a smaller margin of error for a confidence interval, should you...

If you decide you want a smaller margin of error for a confidence interval, should you increase or decrease the sample size?

A) Increase B) Decrease C) Do not need to change

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Answer #1

The correct answer is

- A) Increase

Reasoning:

We have,

Margin of error = z*/sqrt(n)

where,

= standard deviation

n = sample size

Thus, margin of error in inversely proportional to square root of sample size.

i.e. If Margin of error has to be reduced sample size needs to be increased and vice versa

Thus, Option A is correct answer.

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