Assume that 29% of all children in urban schools fail to graduate from high school. An SRS of 400 children is taken in the metropolitan Newark, NJ area. a) State the conditions to show that pˆfollows a normal distribution. b) What is the mean and standard deviation of the sampling distribution of pˆ? c) What is the approximate probabilitythat the sample proportion of children

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
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ISBN:9780079039897
Author:Carter
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Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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Assume that 29% of all children in urban schools fail to graduate from high school. An SRS of 400 children is taken in the metropolitan Newark, NJ area.

a) State the conditions to show that pˆfollows a normal distribution.

b) What is the mean and standard deviation of the sampling distribution of pˆ?

c) What is the approximate probabilitythat the sample proportion of children in urban schools failing to graduate is less than 28%?

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