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A survey of 1000 people was conducted. 44% said they found it hard to adopt a child in the US. margin of sampling is + or - 3%. with a 95% confidence level. What is the relevant sample statisic?  Is 0.42 a plausible value of the population proportion?  Is 0.50 a plausible value?

A survey of 1000 people was conducted. 44% said they found it hard to adopt a child in the US. margin of sampling is + or - 3%. with a 95% confidence level. What is the relevant sample statisic?  Is 0.42 a plausible value of the population proportion?  Is 0.50 a plausible value?

MATLAB: An Introduction with Applications
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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A survey of 1000 people was conducted. 44% said they found it hard to adopt a child in the US. margin of sampling is + or - 3%. with a 95% confidence level.

What is the relevant sample statisic? 

Is 0.42 a plausible value of the population proportion?  Is 0.50 a plausible value?

Expert Solution
Step 1: Confidence interval of proportion

The formula for the confidence interval about the true proportion is given by 

                       C. I equals p with hat on top plus-or-minus open parentheses M. E close parentheses

Here,  

             p with hat on top equals s a m p l e space p r o p o r t i o n M. E equals m a r g i n space o f space e r r o r


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