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.
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), and
• whether the respondent feels things in this country are generally going in the right direction or things
have pretty 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 are as follows:
1.00 -
Right Wrong
Direction
Track | Total
0.75 -
track
Northeast
29
54
83
Right Direction
North Central
44
77
121
Wrong Track
South
62
131
193
0.25
West
36
67
103
Total
171
329
500
0.00
Northeast
North Central
South
West
region](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F9b48bddd-061d-46d0-a465-11dfddae4006%2F36ab736e-236d-42ac-bf14-eb3cf124c9a7%2Fbnuj70r_processed.jpeg&w=3840&q=75)
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