In the nation of Gondor, the EPA requires that half the new cars sold will meet a certain particulate emission standard a year later. A sample of 64 one-year-old cars revealed that only 20 met the particulate emission standard. What is the test statistic to see whether the proportion is below the requirement?
In the nation of Gondor, the EPA requires that half the new cars sold will meet a certain particulate emission standard a year later. A sample of 64 one-year-old cars revealed that only 20 met the particulate emission standard. What is the test statistic to see whether the proportion is below the requirement?
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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Question
In the nation of Gondor, the EPA requires that half the new cars sold will meet a certain particulate emission standard a year later. A sample of 64 one-year-old cars revealed that only 20 met the particulate emission standard. What is the test statistic to see whether the proportion is below the requirement?
Expert Solution

Step 1: Determine the given variables.
The question is about hypothesis testing.
Given :
Population proportion of new car will meet a requirement ( p ) = 0.5
Sample no. of one year old cars ( n ) = 64
No. of cars which are met the requirement of emission standard among "n" ( x ) = 20
To find :
1 ) Test statistic
2 ) Test whether the proportion is below the requirement.
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