Use the following information for questions:
Based on the 2000 Census, 31.8% of grandparents in California are the primary caregivers for their grandchildren. Suppose n = 1000 grandparents are to be sampled from this population and the sample proportion of grandparents as primary caregivers ( $\hat{p}$) is to be calculated.
-What is the standard deviation of the sampling distribution of $\hat{p}$?
A) 0.0002
B) 0.0147
C) 0.2169
D) 0.3180

Question

Use the following information for questions:
 Based on the 2000 Census, 31.8% of grandparents in California are the primary caregivers for their grandchildren. Suppose n = 1000 grandparents are to be sampled from this population and the sample proportion of grandparents as primary caregivers ( $\hat{p}$) is to be calculated.
-What is the standard deviation of the sampling distribution of $\hat{p}$?
A) 0.0002
B) 0.0147
C) 0.2169
D) 0.3180

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 $p = 0.318$ (the population proportion) and $n = 1000$ (the sample size). Plugging these values into the formula gives $\sqrt{\frac{0.318(1-0.318)}{1000}} = \sqrt{\frac{0.318(0.682)}{1000}} = \sqrt{\frac{0.216996}{1000}} = \sqrt{0.000216996} = 0.0147$.

Use the Following Information for Questions: Based on the 2000

Use the Following Information for Questions:
Based on the 2000