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Name: In a survey of 1000 households, 800 had cell phones but no landline. C
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Description: In a survey of 1000 households, 800 had cell phones but no landline. Construct a 95% confidence interval for the proportion of all households with a cell phone but no landline.

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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In a survey of 1000 households, 800 had cell phones but no landline. Construct a 95% confidence interval for the proportion of all households with a cell phone but no landline.

Expert Solution

Step 1

At 95% confidence level, the z value is 1.96 which can be obtained by using the standard normal table.

The sample proportion is computed as follows,

The 95% confidence interval for the proportion of all households with a cell phone but no landline is computed as shown below:

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