Standard error of p-hat: practice

Statistics. Try each one, then open the answer. The Credit Sprint app generates unlimited new versions.

Item 1.

A sample of n = 625 is taken from a population with p = 0.6. What is the standard deviation of the sampling distribution of p̂? Round to 3 decimals.

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√(p(1−p)/n) = √(0.6×0.4/625) ≈ 0.02.

Item 2.

A sample of n = 200 is taken from a population with p = 0.4. What is the standard deviation of the sampling distribution of p̂? Round to 3 decimals.

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√(p(1−p)/n) = √(0.4×0.6/200) ≈ 0.035.

Item 3.

A sample of n = 625 is taken from a population with p = 0.5. What is the standard deviation of the sampling distribution of p̂? Round to 3 decimals.

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√(p(1−p)/n) = √(0.5×0.5/625) ≈ 0.02.

Item 4.

A sample of n = 400 is taken from a population with p = 0.5. What is the standard deviation of the sampling distribution of p̂? Round to 3 decimals.

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√(p(1−p)/n) = √(0.5×0.5/400) ≈ 0.025.

Item 5.

A sample of n = 625 is taken from a population with p = 0.3. What is the standard deviation of the sampling distribution of p̂? Round to 3 decimals.

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√(p(1−p)/n) = √(0.3×0.7/625) ≈ 0.018.

Item 6.

A sample of n = 50 is taken from a population with p = 0.4. What is the standard deviation of the sampling distribution of p̂? Round to 3 decimals.

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√(p(1−p)/n) = √(0.4×0.6/50) ≈ 0.069.