believed that 19% of all students live in campus housing. You suspect that claim is not accurate. You take a sample of 150 students from the population and find that 39 of those students live in campus housing. The parts that I am having trouble with are: Assuming the null is true, how many standard errors is the sample proportion away from the null? Assuming the null is true, on average, how far would a sample proportion be from the expected population proportion? I know that the answer for each part is 2.19 and 0.0320. I am struggling to remember the steps to get to the answer.

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
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Chapter1: Starting With Matlab
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It is widely believed that 19% of all students live in campus housing. You suspect that claim is not accurate. You take a sample of 150 students from the population and find that 39 of those students live in campus housing.

The parts that I am having trouble with are:

Assuming the null is true, how many standard errors is the sample proportion away from the null?

Assuming the null is true, on average, how far would a sample proportion be from the expected population proportion?

I know that the answer for each part is 2.19 and 0.0320. I am struggling to remember the steps to get to the answer. 

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