### Analyzing Voting Patterns Among College Students#### Data CollectionA pollster gathered voting preferences from a sample of 350 college students. The distribution of votes across different political affiliations and academic years is provided in the table below:| Political Affiliation | Freshmen | Sophomore | Junior | Senior | Total ||-----------------------|----------|-----------|--------|--------|-------|| Democratic | 20 | 15 | 12 | 15 | 62 || Green | 30 | 28 | 20 | 30 | 108 || Independent | 25 | 30 | 20 | 20 | 95 || Republican | 30 | 20 | 15 | 20 | 85 || **Total** | 105 | 93 | 67 | 85 | 350 |#### Hypothesis TestingTo determine if overall voting patterns are consistent across different academic years, a hypothesis test is conducted using MINITAB software, with a significance level (\(\alpha\)) of 0.05.##### Steps to Test the Hypothesis:1. **Identify the Parameters**: - **Parameters**: The number of votes in each political affiliation category for different academic years.2. **Null Hypothesis (H₀)**: - The voting patterns are similar across the academic years. i.e., the distribution of voting preferences does not depend on the academic year.3. **Alternative Hypothesis (H₁)**: - The voting patterns are different across the academic years. i.e., the distribution of voting preferences depends on the academic year.4. **Test Statistics**: - Utilize a chi-square test for independence to compare the observed frequencies in the table with the expected frequencies if the null hypothesis were true.5. **p-value**: - The p-value from the chi-square test will be used to determine the statistical significance of the results.6. **Conclusion**: - Based on the p-value, if \( p \leq 0.05 \), reject the null hypothesis. Otherwise, do not reject the null hypothesis.By performing these steps, we can understand whether there are significant differences in political voting patterns among college students based on their academic year.

Name: ### Analyzing Voting Patterns Among College Students#### Data Collect
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Description: ### Analyzing Voting Patterns Among College Students#### Data CollectionA pollster gathered voting preferences from a sample of 350 college students. The distribution of votes across different political affiliations and academic years is provided in

1. The parameters are proportion of Freshmen, proportion of Sophomore, proportion of Junior, and…

Math

Statistics

A pollster collects following data for 350 college students. Democratic Green Independent Republican Total Freshmen 20 30 25 30 105 Sophomore Junior 15 28 30 20 93 12 20 20 15 67 Senior 15 30 20 20 85 Total 62 108 95 85 350 Using MINITAB test the hypothesis that the voting patterns are similar across year in school. Use a = 0.05 %3D

A pollster collects following data for 350 college students. Democratic Green Independent Republican Total Freshmen 20 30 25 30 105 Sophomore Junior 15 28 30 20 93 12 20 20 15 67 Senior 15 30 20 20 85 Total 62 108 95 85 350 Using MINITAB test the hypothesis that the voting patterns are similar across year in school. Use a = 0.05 %3D

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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