Question 2 • Probability and Statistics with Applications Honors Sem-2-FL-1210300 (2024-2025)
The proportion of all high school students who watch national news is p = 0.57. A random sample of 60 high school students 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 60, the sample proportion of high school students who watch the national news typically varies 0.004 from the true proportion, p = 0.57.
B
In SRSs of size 60, the sample proportion of high school students who watch the national news typically varies 0.064 from the true proportion, p = 0.57.
C
In SRSs of size 60, the sample proportion of high school students who watch the national news typically varies 0.245 from the true proportion, p = 0.57.
D
In SRSs of size 60, the sample proportion of high school students who watch the national news typically varies 0.570 from the true proportion, p = 0.57.