APFIVE Sampling Distribution of a Sample Proportion
A study examines 200 randomly selected college students to determine the proportion who have participated in community service. If the true proportion is p = 0.15, which of the following best describes the sampling distribution of the sample proportion?
A
Skewed right because p is small
B
Approximately normal with μp̂ = 0.15 and σp̂ = 0.025
C
Approximately normal with μp̂ = 0.15 and σp̂ = 0.15
D
Not approximately normal because np < 30