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10) The following table shows the sample subjects cross-classified by gender and the type of violent victimization reported. Can we conclude on the basis of these data that victimization status and gender are not independent? Let a = 0.01. Gender Women Men Total No victimization 611 308 919 Partner 42 20 62 Non-partner 16 17 33 Total 669 345 1014

10) The following table shows the sample subjects cross-classified by gender and the type of violent victimization reported. Can we conclude on the basis of these data that victimization status and gender are not independent? Let a = 0.01. Gender Women Men Total No victimization 611 308 919 Partner 42 20 62 Non-partner 16 17 33 Total 669 345 1014

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 30PPS
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### Analysis of Victimization Status by Gender The table below displays the classification of sample subjects based on gender and type of violent victimization reported. The goal is to determine whether there is a relationship between victimization status and gender, using a significance level of \( \alpha = 0.01 \). | Gender | No victimization | Partner | Non-partner | Total | |--------|------------------|---------|-------------|-------| | Women | 611 | 42 | 16 | 669 | | Men | 308 | 20 | 17 | 345 | | Total | 919 | 62 | 33 | 1014 | **Description:** - **Gender**: The subjects are divided into two categories: "Women" and "Men." - **No victimization**: This column indicates the number of individuals who did not report any victimization. - **Partner**: This column shows the number of individuals who reported victimization by a partner. - **Non-partner**: This column provides the number of individuals who reported victimization by someone other than a partner. - **Total**: This column sums up the different victimization categories for each gender, as well as the overall total at the bottom. **Objective:** Using statistical analysis, such as a chi-square test, one can evaluate whether the observed distribution of victimization across gender categories indicates a statistically significant dependency between gender and victimization status. The level of significance is set at \( \alpha = 0.01 \).
Transcribed Image Text:### Analysis of Victimization Status by Gender The table below displays the classification of sample subjects based on gender and type of violent victimization reported. The goal is to determine whether there is a relationship between victimization status and gender, using a significance level of \( \alpha = 0.01 \). | Gender | No victimization | Partner | Non-partner | Total | |--------|------------------|---------|-------------|-------| | Women | 611 | 42 | 16 | 669 | | Men | 308 | 20 | 17 | 345 | | Total | 919 | 62 | 33 | 1014 | **Description:** - **Gender**: The subjects are divided into two categories: "Women" and "Men." - **No victimization**: This column indicates the number of individuals who did not report any victimization. - **Partner**: This column shows the number of individuals who reported victimization by a partner. - **Non-partner**: This column provides the number of individuals who reported victimization by someone other than a partner. - **Total**: This column sums up the different victimization categories for each gender, as well as the overall total at the bottom. **Objective:** Using statistical analysis, such as a chi-square test, one can evaluate whether the observed distribution of victimization across gender categories indicates a statistically significant dependency between gender and victimization status. The level of significance is set at \( \alpha = 0.01 \).
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