Assume that the population proportion is 0.46. Compute the standard error of the proportion, σp, for sample sizes of 500,000; 1,000,000; 5,000,000; 10,000,000; and 100,000,000. (Round your answers to five decimal places.)sample size of 500,000sample size of 1,000,000sample size of 5,000,000sample size of 10,000,000sample size of 100,000,000What can you say about the size of the standard error of the sample proportion as the sample size is increased?The standard error of the sample proportion, σp,  ---Select--- increases decreases and becomes extremely  ---Select--- small large as the sample size becomes huge.

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Asked Dec 12, 2019
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Assume that the population proportion is 0.46. Compute the standard error of the proportion, 
σp,
 for sample sizes of 500,000; 1,000,000; 5,000,000; 10,000,000; and 100,000,000. (Round your answers to five decimal places.)
sample size of 500,000sample size of 1,000,000sample size of 5,000,000sample size of 10,000,000sample size of 100,000,000
What can you say about the size of the standard error of the sample proportion as the sample size is increased?
The standard error of the sample proportion, 
σp,
  ---Select--- increases decreases and becomes extremely  ---Select--- small large as the sample size becomes huge.
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Expert Answer

Step 1

The population proportion is given as 0.46.

The standard error of sample proportion for sample size 500,000 is calculated as follows:

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P(1-P) п f0.46(1– 46) 500,000 z 0.0007

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Step 2

The standard error of sample proportion for sample size 1,000,000 is calculated as follows:

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P(1- P) п 0.46 (1– 46) 1,000,000 z0.0005

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Step 3

The standard error of sample proportion for sampl...

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P(1-P) п Г0.46 (1— 46) 5,000,000 z0.0002

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