1. In evaluating the relationship between region and feeling about the direction things are going in the country, what is the response variable and what is the explanatory variable?- response:- explanatory:2. What are the hypotheses for evaluating this relationship?3. Speculate on whether you would expect to reject or not reject the null hypothesis based on the segmented bar chart shown above. Explain your reasoning in at most two sentences. Note that in this question you are not being asked to actually carry out the hypothesis test.4. If in fact the null hypothesis is true, how many Southerners would we expect to respond that they feel things in this country are generally going in the right direction?5. What is the contribution of this cell (South & Right direction) to the test statistic?6. The χ2 statistic for this test is .667. Determine is the degrees of freedom associated with this test statistic and the p-value for this test.7. What is the conclusion of the hypothesis test? The American National Election Studies (ANES) aims to inform explanations of election outcomes by providing data that support rich hypothesis testing, maximize methodological excellence, measure many variables, and promote comparisons across people, contexts, and time. In this question, we will focus on two variables from the 2012 ANES dataset:- **Region** (levels: Northeast, North Central, South, and West)- **Perception of Direction**: Whether the respondent feels things in this country are generally going in the right direction or things have seriously gotten off on the wrong track.To keep calculations simple, we will work with a random sample of 500 respondents from the ANES dataset. The distribution of responses is as follows:| | Right Direction | Wrong Track | Total ||---------------|-----------------|-------------|-------|| Northeast | 29 | 54 | 83 || North Central | 44 | 77 | 121 || South | 62 | 131 | 193 || West | 36 | 67 | 103 || **Total** | **171** | **329** | **500**|The bar graph to the right visually represents the data distribution across the four regions. Each bar is divided into segments indicating the proportion of respondents who felt things were going in the right direction versus those who felt things were on the wrong track. The dark segments represent the "Right Direction" responses, while the lighter segments represent the "Wrong Track" responses. Each region's bar is scaled from 0 to 1, showing the relative proportion of each response category within that region.

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Answered: 1. In evaluating the relationship…

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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1. In evaluating the relationship between region and feeling about the direction things are going in the country, what is the response variable and what is the explanatory variable?
- response:
- explanatory:
2. What are the hypotheses for evaluating this relationship?
3. Speculate on whether you would expect to reject or not reject the null hypothesis based on the segmented bar chart shown above. Explain your reasoning in at most two sentences. Note that in this question you are not being asked to actually carry out the hypothesis test.
4. If in fact the null hypothesis is true, how many Southerners would we expect to respond that they feel things in this country are generally going in the right direction?

5. What is the contribution of this cell (South & Right direction) to the test statistic?
6. The χ2 statistic for this test is .667. Determine is the degrees of freedom associated with this test statistic and the p-value for this test.
7. What is the conclusion of the hypothesis test?