Use the following information for questions:
Based on the 2000 Census, the proportion of the California population aged 15 years old or older who are married is p = 0.524. Suppose n = 1000 persons are to be sampled from this population and the sample proportion of married persons ( $\hat{p}$) is to be calculated.
-What is the standard deviation of the sampling distribution of $\hat{p}$?
A) 0.0158
B) 0.0166
C) 0.2494
D) 0.5240

Question

Use the following information for questions:
 Based on the 2000 Census, the proportion of the California population aged 15 years old or older who are married is p = 0.524. Suppose n = 1000 persons are to be sampled from this population and the sample proportion of married persons ( $\hat{p}$) is to be calculated.
-What is the standard deviation of the sampling distribution of $\hat{p}$?
A) 0.0158
B) 0.0166
C) 0.2494
D) 0.5240

Quizplus · Accepted Answer

The standard deviation of the sampling distribution of $\hat{p}$ (also known as the standard error of the proportion) is calculated using the formula $\sqrt{\frac{p(1-p)}{n}}$, where $p = 0.524$ and $n = 1000$. Plugging these values into the formula gives $\sqrt{\frac{0.524(1-0.524)}{1000}} = \sqrt{\frac{0.524(0.476)}{1000}} = \sqrt{\frac{0.249424}{1000}} = 0.0158$.

Use the Following Information for Questions: Based on the 2000

Use the Following Information for Questions:
Based on the 2000