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The Department of Transportation in South Africa conducted a study a number of years ago that showed that the proportion of cars tested which failed to meet the state pollution standard was 37%. The department would like to be able to say that the cars have improved since then. In a sample of 100 cars more recently, the proportion not meeting the standards was 28%. Are the cars better at meeting the standards than they used to be? Clearly state the null and alternative hypotheses. Perform the hypothesis test at 99% confidence level and explain the meaning of your conclusion.

The Department of Transportation in South Africa conducted a study a number of years ago that showed that the proportion of cars tested which failed to meet the state pollution standard was 37%. The department would like to be able to say that the cars have improved since then. In a sample of 100 cars more recently, the proportion not meeting the standards was 28%. Are the cars better at meeting the standards than they used to be? Clearly state the null and alternative hypotheses. Perform the hypothesis test at 99% confidence level and explain the meaning of your conclusion.

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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The Department of Transportation in South Africa conducted a study a number of years ago that
showed that the proportion of cars tested which failed to meet the state pollution standard was
37%. The department would like to be able to say that the cars have improved since then. In a
sample of 100 cars more recently, the proportion not meeting the standards was 28%.
Are the cars better at meeting the standards than they used to be? Clearly state the null and
alternative hypotheses. Perform the hypothesis test at 99% confidence level and explain the
meaning of your conclusion.

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