a. To determine Find the sample size required to ensure an error of ± 5 % with 95% confidence. Explanation Calculation: The given information is that the survey in Vail Resorts studies the satisfaction of guests with the new website design. The level of confidence is 95% and the margin of error is ± 0.05 ( = 5 % ) . The formula for the sample size for a proportion is, n = ( z E ) 2 π ( 1 − π ) Where, E is the maximum allowable margin of error. By the conservative assumption the value of π is 0.5. From TABLE 8.9: Common Confidence Levels and z -Values, the z -value at 95% confidence level is 1.96. Substitute z = 1.96 , E = 0.05 and π = 0.5 b. To determine Explain what happens to the sample size required when there is an error of ± 2.5 % with 95% confidence.

Applied Statistics in Business and Economics

5th Edition

ISBN: 9780077837303

Author: David Doane, Lori Seward Senior Instructor of Operations Management

Publisher: McGraw-Hill Education

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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 93CE

To determine

Find the sample size required to ensure an error of ±5% with 95% confidence.

To determine

Explain what happens to the sample size required when there is an error of ±2.5% with 95% confidence.

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Chapter 8, Problem 92CE

Chapter 8, Problem 94CE

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Applied Statistics in Business and Economics

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