Assume that the population proportion is 080 1 Compute the s

Assume that the population proportion is 0.80.

1. Compute the standard error of the sample proportion for a sample size of 100 (provide your answer using exactly three decimal places).

2. Compute the standard error of the sample proportion for a sample size of 256 (provide your answer using exactly three decimal places).

3. Compute the standard error of the sample proportion for a sample size of 625 (provide your answer using exactly three decimal places).

4. Compute the standard error of the sample proportion for a sample size of 1600 (provide your answer using exactly three decimal places).

Solution

a)

We get the standard error of p, sp:              
              
sp = sqrt[p(1 - p) / n] =    0.04   [ANSWER]

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b)

We get the standard error of p, sp:              
              
sp = sqrt[p(1 - p) / n] =    0.025   [ANSWER]

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c)

We get the standard error of p, sp:              
              
sp = sqrt[p(1 - p) / n] =    0.016   [ANSWER]

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d)

We get the standard error of p, sp:              
              
sp = sqrt[p(1 - p) / n] =    0.01   [ANSWER]