6
QuizMultiple Choice
Sampling Distribution of the Sample Proportion
Question 6 • NC-Math 4
A professional tennis player has a serve-return rate of p = 0.71. A random sample of 55 serve returns is selected. 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 55, the sample proportion of this tennis player’s serve-return rate typically varies 0.004 from the true proportion p = 0.71.
B
In SRSs of size 55, the sample proportion of this tennis player’s serve-return rate typically varies 0.013 from the true proportion p = 0.71.
C
In SRSs of size 55, the sample proportion of this tennis player’s serve-return rate typically varies 0.061 from the true proportion p = 0.71.
D
In SRSs of size 55, the sample proportion of this tennis player’s serve-return rate typically varies 0.114 from the true proportion p = 0.71.