Sampling Distribution of the Sample Proportion — Quiz
Question 10 • Math 4
The proportion of twins born in a town is p is equal to 0 point 1 2 Suppose we randomly select 100 women from this town who give birth in the next year. Which of the following is the correct calculation and interpretation of the standard deviation of the sampling distribution of hat p ?
Answer
A
σp^=0.106. In SRSs of size 100 , the sample proportion of women in this town giving birth to twins typically varies 0 point 1 0 6 from the true proportion, p is equal to 0 point 1 2 .
B
σp^=0.001. In SRSs of size 100 , the sample proportion of women in this town giving birth to twins typically varies 0 point 0 0 1 from the true proportion, p is equal to 0 point 1 2 .
C
σp^=0.032. In SRSs of size 100 , the sample proportion of women in this town giving birth to twins typically varies 0 point 0 3 2 from the true proportion, p is equal to 0 point 1 2 .
D
σp^=0.035. In SRSs of size 100 , the sample proportion of women in this town giving birth to twins typically varies 0 point 0 3 5 from the true proportion, p is equal to 0 point 1 2 .