Reference no: EM132374682
Assignment - Application of the Pearson Correlation Coefficient and the Chi-Square Test
Total 2 question. HAVE THE TABLEs - NEED 6 STEPS INTERPRETATION for both questions.
The purpose of this assignment is to practice calculating and interpreting the Pearson correlation coefficient and a chi-square test of independence.
Include your process for conducting the calculations.
When addressing the problem, provide a response for of the six steps of hypothesis testing listed below.
1. Pick a test.
2. Check the assumptions.
3. List the hypotheses.
4. Set the decision rule.
5. Calculate the test statistic.
6. Interpret the results. (What was done? What was found? What does it mean? What suggestions exist for future research?)
Textboook - Corty, E. (2016). Using and interpreting statistics: A practical text for the behavioral, social, and health sciences (3rd ed.). New York, NY: Macmillan Learning. ISBN-13: 9781464107795.
QUESTION 1 -
A sociologist wanted to see if there was a relationship between a family's educational status and the eliteness of the college that their oldest child attended. She measured educational status by counting how many years of education beyond high school the parents had received. In addition, she measured the eliteness of the school by its yearly tuition, in thousands (e.g., 5 = $5,000). She obtained a random sample of 10 families.
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1
|
2
|
3
|
4
|
5
|
6
|
7
|
8
|
9
|
10
|
|
Years post-HS education
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0
|
7
|
8
|
8
|
4
|
5
|
12
|
17
|
8
|
2
|
|
Yearly tuition
|
12
|
26
|
33
|
18
|
20
|
7
|
15
|
38
|
41
|
5
|
When addressing the problem, provide a response for of the six steps of hypothesis testing listed below.
1. Pick a test.
2. Check the assumptions.
3. List the hypotheses.
4. Set the decision rule.
5. Calculate the test statistic.
6. Interpret the results. (What was done? What was found? What does it mean? What suggestions exist for future research?)
QUESTION 2 -
The purpose of this assignment is to practice calculating and interpreting the Pearson correlation coefficient and a chi-square test of independence.
Include your process for conducting the calculations.
A political scientist developed a theory that after an election, supporters of the losing candidate removed the bumper stickers from their cars faster than did supporters of the winning candidate. The day before a presidential election, he randomly selected parking lots, and at each selected parking lot, he randomly selected one car with a bumper sticker and recorded which candidate it supported. The day after the election, he followed the same procedure with a new sample of randomly selected parking lots. For both days, he then classified the bumper stickers as supporting the winning or losing candidate. Below are the results. Use hypothesis testing to see if a difference exists between how winners and losers behave.
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Observed Frequencies
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Winner
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Loser
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|
Before
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34
|
32
|
|
After
|
28
|
10
|
When addressing the problem, provide a response for of the six steps of hypothesis testing listed below.
1. Pick a test.
2. Check the assumptions.
3. List the hypotheses.
4. Set the decision rule.
5. Calculate the test statistic.
6. Interpret the results. (What was done? What was found? What does it mean? What suggestions exist for future research?)
Attachment:- Assignment File.rar