How do the standard errors of the sampling distributions of sample proportions compare if the first distribution uses samples of size 25 and the second distribution uses samples of size 50? Select one...

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How do the standard errors of the sampling distributions of sample proportions compare if the first distribution uses samples of size 25 and the second distribution uses samples of size 50? Select one...

How do the standard errors of the sampling distributions of sample proportions compare if the first distribution uses samples of size 25 and the second distribution uses samples of size 50?

Select one:

a. the standard error for the distribution with sample size 25 is greater than the standard error for the distribution with sample size 50

b. the standard errors are the same

c. the standard error for the distribution with sample size 25 is smaller than the standard error for the distribution with sample size 50

d. none of these.

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Answer 1

Answer #1

Standard error of sample mean is given by

$\sigma _{\overline{X}}=\frac{\sigma }{\sqrt{n}}$

where $\sigma$ is population standard deviation.

We can see that standard error of sample mean is inversely related to sample size. So,

Correct option is

a. the standard error for the distribution with sample size 25 is greater than the standard error for the distribution with sample size 50

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Answer 2

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How do the standard errors of the sampling distributions of sample proportions compare if the first distribution uses samples of size 25 and the second distribution uses samples of size 50? Select one...

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Add Answer to: How do the standard errors of the sampling distributions of sample proportions compare if the first distribution uses samples of size 25 and the second distribution uses samples of size 50? Select one...

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How do the standard errors of the sampling distributions of sample proportions compare if the first distribution uses samples of size 25 and the second distribution uses samples of size 50? Select one...