What is the standard deviation if the proportion of nonconforming is obtained to be 0.19 from 100 samples of size 136?
A)0.065
B)0.034
C)0.066
D)0.001

Question

Quizplus · Accepted Answer

The standard deviation of the proportion of nonconforming items ($p$) in a sample can be calculated using the formula $\sqrt{\frac{p(1-p)}{n}}$, where $p = 0.19$ is the proportion of nonconforming items and $n = 136$ is the sample size. Plugging these values into the formula gives $\sqrt{\frac{0.19(1-0.19)}{136}} = \sqrt{\frac{0.19(0.81)}{136}} = \sqrt{\frac{0.1539}{136}} = \sqrt{0.0011316176} \approx 0.034$.

What Is the Standard Deviation If the Proportion of Nonconforming