Question

Let x = 424 and n = 568. Determine the value of σp̂. Round each value to the nearest thousandth (third decimal place) when making calculations and submitting your solution in the text entry box provided. Example: X.XXX

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Santino

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52 Answers

To determine the value of σp̂, we will use the formula:

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

Given x = 424 and n = 568, we can calculate p:

p = \frac{x}{n} = \frac{424}{568} \approx 0.746

Now we can plug in the values of p and n into the formula to calculate σp̂:

\sigma_{\hat{p}} = \sqrt{\frac{0.746(1-0.746)}{568}} \approx \sqrt{\frac{0.746 \times 0.254}{568}} \approx \sqrt{\frac{0.189484}{568}} \approx \sqrt{0.000333} \approx 0.018

Therefore, the value of σp̂ is approximately 0.018.

\boxed{0.018}

Given x = 424 and n = 568, we can calculate p:

Now we can plug in the values of p and n into the formula to calculate σp̂:

Therefore, the value of σp̂ is approximately 0.018.

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