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Consider the contingency table for age and unemployment categories for cross country data: Age Category 15 24 25_74 Total Unemployment Rate Category low middle 35 453 488 218 512 730 865 136 1,001 Total 1,118 1,101 2,219 where the age variable contains two categories (15 to 24, 25 to 75) and the unemployment rate variable contains three categories (low- under 5%, middle - 5% to 10%, high - over 10%)

Consider the contingency table for age and unemployment categories for cross country data: Age Category 15 24 25_74 Total Unemployment Rate Category low middle 35 453 488 218 512 730 865 136 1,001 Total 1,118 1,101 2,219 where the age variable contains two categories (15 to 24, 25 to 75) and the unemployment rate variable contains three categories (low- under 5%, middle - 5% to 10%, high - over 10%)

A First Course in Probability (10th Edition)
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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Consider the contingency table for age and unemployment categories for cross country data: Age Category 15 24 25_74 Total Unemployment Rate Category low middle high 35 453 488 218 512 730 865 136 1,001 Total 1,118 1,101 2,219 where the age variable contains two categories (15 to 24, 25 to 75) and the unemployment rate variable contains three categories (low- under 5%, middle - 5% to 10%, high - over 10%)
Transcribed Image Text:Consider the contingency table for age and unemployment categories for cross country data: Age Category 15 24 25_74 Total Unemployment Rate Category low middle high 35 453 488 218 512 730 865 136 1,001 Total 1,118 1,101 2,219 where the age variable contains two categories (15 to 24, 25 to 75) and the unemployment rate variable contains three categories (low- under 5%, middle - 5% to 10%, high - over 10%)
1. Given the contingency table above construct another contingency table showing the joint relative fre- quencies, marginal relative frequencies and conditional relative frequencies. 2. Given age category 25 to 74, what percentage of countries have unemployment 5% or higher? What percentage of countries have unemployment rates 10% or lower? 3. Sketch the conditional relative frequency distribution for unemployment. 4. Based on the empirical evidence from these variables, does it appear cross country unemployment is independent from age? Justify.
Transcribed Image Text:1. Given the contingency table above construct another contingency table showing the joint relative fre- quencies, marginal relative frequencies and conditional relative frequencies. 2. Given age category 25 to 74, what percentage of countries have unemployment 5% or higher? What percentage of countries have unemployment rates 10% or lower? 3. Sketch the conditional relative frequency distribution for unemployment. 4. Based on the empirical evidence from these variables, does it appear cross country unemployment is independent from age? Justify.
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