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Let n = 600 and p = 0.65. Determine the value of σp̂. Round your solution to the nearest ten thousandths (fourth decimal value). Example: 0.1234

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Answer to a math question Let n = 600 and p = 0.65. Determine the value of σp̂. Round your solution to the nearest ten thousandths (fourth decimal value). Example: 0.1234

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Darrell

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77 Answers

Given that n = 600 and p = 0.65, we can calculate the standard deviation of the sample proportion using the formula:

\sigma_{\hat{p}} = \sqrt{\frac{p(1-p)}{n}}

Substitute the given values:

\sigma_{\hat{p}} = \sqrt{\frac{0.65 * 0.35}{600}}

\sigma_{\hat{p}} = \sqrt{\frac{0.2275}{600}}

\sigma_{\hat{p}} = \sqrt{0.00037917}

\sigma_{\hat{p}} \approx 0.019481

Therefore, the value of

\sigma_{\hat{p}}

rounded to the nearest ten-thousandth is

\boxed{0.0195}

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Let n = 600 and p = 0.65. Determine the value of σp̂. Round your solution to the nearest ten thousandths (fourth decimal value). Example: 0.1234

Answer to a math question Let n = 600 and p = 0.65. Determine the value of σp̂. Round your solution to the nearest ten thousandths (fourth decimal value). Example: 0.1234

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