Explanation Given info: In a sample, 7 out of 100 people are unemployed and 3 out of 75 in the civilian labor forces of Finland and Denmark. Calculation: One-Proportion Plus-Four z-interval Procedure: Condition: By rule of thumb, the both sample sizes should be 5 or more. Here the sample sizes are 100 and 75 which are greater than 5. Therefore both the condition is satisfied, hence the One–Proportion Plus-Four z -interval Procedure is appropriate to use The plus-four z -interval is obtained by adding the one success and one failure, the sample proportions are, p ˜ 1 = ( x 1 + 1 ) ( n 1 + 2 ) and p ˜ 2 = ( x 2 + 1 ) ( n 2 + 2 ) . Substitute x 1 as 7and n 1 as100 in the formula, p ˜ 1 = ( x 1 + 1 ) ( n 1 + 2 ) = ( 7 + 1 ) ( 100 + 2 ) = 8 102 = 0.0784 Substitute x 2 as 3and n 2 as 75 in the formula, p ˜ 2 = ( x 2 + 1 ) ( n 2 + 2 ) = ( 3 + 1 ) ( 75 + 2 ) = 4 77 = 0.0519 Thus, the sample proportions are p ˜ 1 = 0.078 and p ˜ 2 = 0.052 . Confidence interval: For confidence level 95%, α = 0.05

10th Edition

ISBN: 9780321989178

Author: Neil A. Weiss

Publisher: PEARSON

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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 12.3, Problem 129E

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Find and interpret the 95%confidence interval for the difference between the unemployment rates in Finland and Denmark.

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Chapter 12.3, Problem 128E

Chapter 12.3, Problem 130E

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Chapter 12 Solutions

Introductory Statistics (10th Edition)

Ch. 12.1 - Why is statistical inference generally used to...Ch. 12.1 - Prob. 3E Ch. 12.1 - Prob. 4E Ch. 12.1 - Regarding a sample proportion: a. What is it? b....Ch. 12.1 - Regarding the phrase number of successes: a. For...Ch. 12.1 - For what is the phrase number of failures an...Ch. 12.1 - Explain the relationships among the sample...Ch. 12.1 - Prob. 9E Ch. 12.1 - Repeat parts (b)(e) of Exercise 12.9 for samples...Ch. 12.1 - Prob. 11E

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Find and interpret the 95%confidence interval for the difference between the unemployment rates in Finland and Denmark.

Solution Summary: The author analyzes the 95% confidence interval for the difference between the unemployment rates in Finland and Denmark. The plus-four z -interval is obtained by adding the one success and one failure.

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Find and interpret the 95%confidence interval for the difference between the unemployment rates in Finland and Denmark.

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