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
206
likes1030 views
Answer to a math 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
Santino
4.5112 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.
Frequently asked questions (FAQs)
What is the measure of the angle bisector if the two angles it bisects have measures of 60 degrees and 120 degrees?
+
What is the probability of rolling a 5 or a 6 on a fair six-sided dice?
+
What are the roots of the cubic equation x^3 - 4x^2 + 5x - 2 = 0?
+
New questions in Mathematics