Question

A sample proportion is calculated from a sample size of 288. How large of a sample...

A sample proportion is calculated from a sample size of 288. How large of a sample would we need in order to decrease the standard error by a factor of 6?

1)

 10,368

2)

 1,728

3)

 705

4)

 8,928

5)

 4,896
Math   Statistics-And-Probability   
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Answer #1

Answer:

Given that,

A sample proportion is calculated from a sample size of 288.

How large of a sample would we need in order to decrease the standard error by a factor of 6:

The standard error for a sample proportion is

Sample size=288

The standard error is decreases factor of 6.

Thus,

Squaring both side,

Therefore, Correct answer is Option (1).

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