Explanation The difference in the proportions favouring the proposition is computed as follows: Difference in proportion = p ^ 1 − p ^ 2 = 300 500 − 64 100 = 0.6 − 0.64 = − 0.04 Thus, the difference in the proportions favouring the proposition is −0.04. The 2-standard-deviation bound on the error of estimation is computed as follows: 2-standard-deviation bound = 2 p ^ 1 ( 1 − p ^ 1

Mathematical Statistics with Applications

7th Edition

ISBN: 9780495110811

Author: Dennis Wackerly, William Mendenhall, Richard L. Scheaffer

Publisher: Cengage Learning

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2-Proportion Test

In a 2-proportion test, two separate proportions are measured at the same time, and their similarity is evaluated. It is also known as a 2-proportion z-test, and a comparison of two different proportions is done in this method.

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Chapter 8, Problem 112SE

To determine

Find the difference in the proportions favouring the proposition.

Obtain the 2-standard-deviation bound on the error of estimation.

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Chapter 8, Problem 111SE

Chapter 8, Problem 113SE

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Mathematical Statistics with Applications

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Find the difference in the proportions favouring the proposition. Obtain the 2-standard-deviation bound on the error of estimation.

Solution Summary: The author explains the 2-standard-deviation bound on the error of estimation. The difference in the proportions favouring the proposition is 0.04.