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.  a) What is the value of the standard error of the proportion for this sampling distribution?  b) What is the probability that the sample proportion is more than 55%?  c) What is the probability that the sample proportion falls between 40% and 50%

MATLAB: An Introduction with Applications
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Author:Amos Gilat
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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. 

a) What is the value of the standard error of the proportion for this sampling distribution? 

b) What is the probability that the sample proportion is more than 55%? 

c) What is the probability that the sample proportion falls between 40% and 50%

d) Find a value such that the probability that the sample proportion falls above it is 95%

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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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. 

d) Find a value such that the probability that the sample proportion falls above it is 95%

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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