1
QuizMultiple Choice
Sampling Distribution of the Sample Proportion
Question 1 • NC-Math 4
The proportion of twins born in a town is p = 0.12. 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 ?
Answer
A
In SRSs of size 100, the sample proportion of women in this town giving birth to twins typically varies 0.001 from the true proportion, p = 0.12.
B
In SRSs of size 100, the sample proportion of women in this town giving birth to twins typically varies 0.032 from the true proportion, p = 0.12.
C
In SRSs of size 100, the sample proportion of women in this town giving birth to twins typically varies 0.035 from the true proportion, p = 0.12.
D
In SRSs of size 100, the sample proportion of women in this town giving birth to twins typically varies 0.106 from the true proportion, p = 0.12.