21. Random samples of size 525 are taken from an infinite population whose population proportion is .3. The standard deviation of the sample proportions (i.e., the standard error of the proportion) is .2100 .0004 .0200 .3000

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**Question 21**

Random samples of size 525 are taken from an infinite population whose population proportion is 0.3. The standard deviation of the sample proportions (i.e., the standard error of the proportion) is ____.

- ○ 0.2100
- ○ 0.0004
- ○ 0.0200
- ○ 0.3000

This question asks for the standard deviation of the sample proportions, known as the standard error of the proportion. This is calculated using the formula:

\[
SE = \sqrt{\frac{p(1-p)}{n}}
\]

where \( p \) is the population proportion and \( n \) is the sample size. 

Given:
- Population proportion (\( p \)) = 0.3
- Sample size (\( n \)) = 525

Use the formula to calculate the standard error.
Transcribed Image Text:**Question 21** Random samples of size 525 are taken from an infinite population whose population proportion is 0.3. The standard deviation of the sample proportions (i.e., the standard error of the proportion) is ____. - ○ 0.2100 - ○ 0.0004 - ○ 0.0200 - ○ 0.3000 This question asks for the standard deviation of the sample proportions, known as the standard error of the proportion. This is calculated using the formula: \[ SE = \sqrt{\frac{p(1-p)}{n}} \] where \( p \) is the population proportion and \( n \) is the sample size. Given: - Population proportion (\( p \)) = 0.3 - Sample size (\( n \)) = 525 Use the formula to calculate the standard error.
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