The proportion of students at a large high school who live within five miles of the school is p = 0.19. The principal takes a random sample of 17 students from this school. Which is the best description of the shape of the sampling distribution of p?
O The sampling distribution of p is approximately Normal because n(1 - p) = 17(0.19)(0.81) = 2.91 > 10.
O Because 17(0.19)(0.81) = 2.91 < 10, the sampling distribution of p is not approximately Normal. The sampling distribution of p is skewed to the left and centered at 0.81.
O Because 17(0.19)(0.81) = 2.91 < 10, the sampling distribution of p is not approximately Normal. Because p = 0.19 is closer to 0 than 1, the sampling distribution of p is skewed to the left.
O Because 17(0.19)(0.81) = 2.91 < 10, the sampling distribution of p is not approximately Normal. Because p = 0.19 is closer to 0 than 1, the sampling distribution of p is skewed to the right.
