**Title: Analysis of Racial Distribution in Work-Study Programs****Introduction:**This document explores whether the racial distribution for students on work-study differs from those not on work-study, utilizing statistical analysis at a 0.05 significance level.**Data Overview:**- **Contingency Table:** | | White | Black | Hispanic | Asian | Other | |------------------------|-------|-------|----------|-------|-------| | Work Study | 96 | 44 | 78 | 53 | 28 | | Not Work Study | 82 | 66 | 108 | 86 | 32 |- **R Vector Data:** 96, 82, 44, 66, 78, 108, 53, 86, 28, 32**Analysis Steps:**1. **Statistical Test Selection:** - **a.** Choose the correct test for analyzing the data.2. **Hypotheses Formation:** - **b.** Define the null hypothesis (\(H_0\)) and the alternative hypothesis (\(H_1\)).3. **Calculation of Test Statistic:** - **c.** Compute the test-statistic and report the value to three decimal places.4. **Determination of P-Value:** - **d.** Calculate and present the p-value to four decimal places.5. **Comparison of P-Value and Significance Level:** - **e.** Assess if the p-value is less than or equal to \(\alpha\).6. **Decision Making:** - **f.** Based on the comparison, make a decision to reject or fail to reject the null hypothesis.7. **Conclusion:** - **g.** Draw an overall conclusion: - Option 1: At the 5% significance level, there is insufficient evidence to conclude a difference in racial distribution. - Option 2: At the 5% significance level, there is sufficient evidence to conclude a difference in racial distribution.**Conclusion:**This guide will help assess whether there is a significant difference in the racial distribution between students involved in work-study programs and those who are not. Decisions are made based on the computed statistical analyses and relevant hypothesis testing results.

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Is the racial distribution for students on work-study different from the racial distribution for students not on work-study? The results of a recent study are shown below. Frequencies of Race for Students On and Not On Work-Study White Black Hispanic Asian Other Work Study Not Work Study Rvector Data: 96,82,44,66,78, 108,53,86,28,32 96 44 78 53 28 82 66 108 86 32 Contingency Table What can be concluded at the a = 0.05 significance level a. What is the correct statistical test to use? Serect ar anserv b. What are thenatt and atternative hypotheses? Ho: Select an answer H: Select an answer ThE test-statistic for this data = (Please show your answer to three decimal places.) d. The p-value for this sample = (Please show your answer to four decimal places.) e. The p-value is Select an answer Based on this, we should Seleet an anower Thus, the final conclusion is... Select an answer Select an answer At the 5% significance level, the data provides insufficient evidence to conclude that the racial distribution for students on work study is not the same as it is for students not on work study. At the 5% significance level, the data provides sufficient evidence to conclude that the racial distribution for students on work study is not the same as it is for students not on work study. Check Ansver

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...