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 for the sampling distribution of  ?

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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 for the sampling distribution of  ?

 
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 for the sampling
distribution of p ?
The sampling distribution of p is approximately Normal because n(1- p) = 13.77 > 10.
O Because np = 17(0.19) = 3.23 < 10 , the sampling distribution of p is not approximately Normal. The sampling
distribution of p is skewed left and centered at 0.81.
O Because np = 17(0.19) = 3.23 < 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 np = 17(0.19) = 3.23 < 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.
Transcribed Image Text: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 for the sampling distribution of p ? The sampling distribution of p is approximately Normal because n(1- p) = 13.77 > 10. O Because np = 17(0.19) = 3.23 < 10 , the sampling distribution of p is not approximately Normal. The sampling distribution of p is skewed left and centered at 0.81. O Because np = 17(0.19) = 3.23 < 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 np = 17(0.19) = 3.23 < 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.
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