a) Explanation Given: Null and Alternative Hypotheses: H 0 : p = 0.5 H a : p > 0.5 Sample size = n = 500 Number of students replied they are satisfied = X = 280 Formula: Sample proportion: p ^ = x n Test statistic: z = p ^ − p 0 p 0 ( 1 − p 0 ) / n Calculation: p ^ = 280 500 = 0 b) To determine To check given conclusion based on p-value is justified or not. c) To determine To check given conclusion based on p-value is justified or not.

Elementary Statistics ( 3rd International Edition ) Isbn:9781260092561

3rd Edition

ISBN: 9781259969454

Author: William Navidi Prof.; Barry Monk Professor

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 9.4, Problem 29E

To determine

To show that p-value is 0.004

To determine

To check given conclusion based on p-value is justified or not.

To determine

To check given conclusion based on p-value is justified or not.

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Chapter 9.4, Problem 28E

Chapter 9.4, Problem 30E

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Chapter 9 Solutions

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To show that p-value is 0.004

Solution Summary: The author explains that p-value is 0.004 and that null hypothesis can be rejected.

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To show that p-value is 0.004

To check given conclusion based on p-value is justified or not.

To check given conclusion based on p-value is justified or not.

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Chapter 9 Solutions