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 sampling distribution of  is approximately Normal because  . Because  , the sampling distribution of  is not approximately Normal. The sampling distribution of  is skewed left and centered at 0.81. Because , the sampling distribution of  is not approximately Normal. Because p = 0.19 is closer to 0 than 1, the sampling distribution of  is skewed to the left. Because , the sampling distribution of  is not approximately Normal. Because p = 0.19 is closer to 0 than 1, the sampling distribution of  is skewed to the right.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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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 sampling distribution of  is approximately Normal because  .
Because  , the sampling distribution of  is not approximately Normal. The sampling distribution of  is skewed left and centered at 0.81.
Because , the sampling distribution of  is not approximately Normal. Because p = 0.19 is closer to 0 than 1, the sampling distribution of  is skewed to the left.
Because , the sampling distribution of  is not approximately Normal. Because p = 0.19 is closer to 0 than 1, the sampling distribution of  is skewed to the right. 
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