You happen to know that 45% of the students at Generic university are traditional students. You collect a random sample of 100 students, and calculate the sample proportion of traditional students.  e) Find two symmetric about the proportion such that the probability that the sample proportion falls between them is 99% f) What is the probability that the sample proportion is below 42%? g) Why are we justified in assuming that the sampling distribution of the proportion will be normally distributed in this problem?

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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You happen to know that 45% of the students at Generic university are traditional students. You collect a random sample of 100 students, and calculate the sample proportion of traditional students. 

e) Find two symmetric about the proportion such that the probability that the sample proportion falls between them is 99%

f) What is the probability that the sample proportion is below 42%?

g) Why are we justified in assuming that the sampling distribution of the proportion will be normally distributed in this problem?

 

 
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