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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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
Darrell
4.5100 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}} \boxed{0.0195}
Substitute the given values:
Therefore, the value of
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