MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN: 9781119256830
Author: Amos Gilat
Publisher: John Wiley & Sons Inc
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Concept explainers

Estimation
A new framework of data analysis where the new statistical methods are used for interpreting the results and analyzing the data is known as estimation in statistics.
Question
In a sample of 225 college seniors, 182 responded positively when asked if they have spring fever. Based upon this, compute a 90% confidence interval for the proportion of all college seniors who have spring fever. Then find the lower limit and upper limit of the 90%
 confidence interval.

Carry your intermediate computations to at least three decimal places. Round your answers to two decimal places.

Lower limit:
 
Upper limit:
 
 
 
 
Expert Solution
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Step 1

It is given that, in a sample of 225 college seniors, 182 responded positively when asked if they have spring fever. 

x=182

n=225

(p̂) = x/n= 182/225 = 0.809

The 90% confidence interval can be calculated as:

CI=p^±Zα/2p^1-p^n

 

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