Mathematics Homework Help

1. Research suggests that individuals with childhood delinquency record are more likely to have adult criminality. You want to test this hypothesis with your sample data. The following table shows the association between childhood delinquency and adult criminality:

	Not Criminal	Criminal	Total
Not Delinquent	14	6	20
Delinquent	8	22	30
Total	22	28	50

• What are the independent and dependent variables in your study? How are they measured (nominal, ordinal, interval, ratio)?
• Conduct a hypothesis with a .05 significance level to determine whether the relationship between delinquent status and criminal status is statistically significant. Be sure to identify the 5 steps of your hypothesis test and interpret your results accordingly.
• Calculate the phi coefficient (Φ). What does this tell you?

Answer: IV:

DV:

Answer:

Step 1:

Step 2:

Step 3:

Step 4:

Cell	Frequency Observed	Frequency Expected	fo – fe	(fo – fe) 2
A	14
B	6
C	8
D	22

Total =

Step 5:

Answer: Φ = =
2. A recent study found that individuals with military experience are more likely to have been incarcerated for a violent offense. You want to know if military experience also causes individuals to be more likely to be incarcerated for property offenses. The following table provides the joint distribution for military service and the commission of a property offense.

	Property Offense	No Property Offense	Total
Military	208	753	961
No Military	1143	3389	4532
Total	1351	4142	5493

• What are the independent and dependent variables in your study? How are they measured (nominal, ordinal, interval, ratio)?
• Conduct a hypothesis test with a significance level of .01 to investigate the null hypothesis that the two variables are independent (not significantly related to one another). Be sure to identify the 5 steps of your hypothesis test and interpret your results accordingly.
• Calculate the phi coefficient (Φ). What does this tell you?

Answer: IV:

DV:

Answer:

Step 1:

Step 2:

Step 3:

Cell	Frequency Observed	Frequency Expected	fo – fe	(fo – fe) 2
A	208
B	753
C	1143
D	3389

Step 4:
Total =

Step 5:

Answer: Φ = =

3. Using the same example in question #2

• Conduct a hypothesis test assuming that you have 10 times larger sample size (n=54,930)
• Calculate the phi coefficient (Φ). What does this tell you?

* hint: you can answer this question without any additional calculation (You may simply indicate the things that change from the answers for question #2)

Answer:

Step 1:

Step 2:

Step 3:

Step 4:

Step 5:

Answer:

4. Using the same example in question #2

• Conduct a hypothesis test with a significance level of .05
• Calculate the phi coefficient (Φ). What does this tell you?

* hint: you can answer this question without any additional calculation (You may simply indicate the things that change from the answers for question #2)

Answer:

Step 1:

Step 2:

Step 3:

Step 4:

Step 5:

Answer:1. Research suggests that individuals with childhood delinquency record are more likely to have adult criminality. You want to test this hypothesis with your sample data. The following table shows the association between childhood delinquency and adult criminality:

	Not Criminal	Criminal	Total
Not Delinquent	14	6	20
Delinquent	8	22	30
Total	22	28	50

• What are the independent and dependent variables in your study? How are they measured (nominal, ordinal, interval, ratio)?
• Conduct a hypothesis with a .05 significance level to determine whether the relationship between delinquent status and criminal status is statistically significant. Be sure to identify the 5 steps of your hypothesis test and interpret your results accordingly.
• Calculate the phi coefficient (Φ). What does this tell you?

Answer: IV:

DV:

Answer:

Step 1:

Step 2:

Step 3:

Step 4:

Cell	Frequency Observed	Frequency Expected	fo – fe	(fo – fe) 2
A	14
B	6
C	8
D	22

Total =

Step 5:

Answer: Φ = =
2. A recent study found that individuals with military experience are more likely to have been incarcerated for a violent offense. You want to know if military experience also causes individuals to be more likely to be incarcerated for property offenses. The following table provides the joint distribution for military service and the commission of a property offense.

	Property Offense	No Property Offense	Total
Military	208	753	961
No Military	1143	3389	4532
Total	1351	4142	5493

• What are the independent and dependent variables in your study? How are they measured (nominal, ordinal, interval, ratio)?
• Conduct a hypothesis test with a significance level of .01 to investigate the null hypothesis that the two variables are independent (not significantly related to one another). Be sure to identify the 5 steps of your hypothesis test and interpret your results accordingly.
• Calculate the phi coefficient (Φ). What does this tell you?

Answer: IV:

DV:

Answer:

Step 1:

Step 2:

Step 3:

Cell	Frequency Observed	Frequency Expected	fo – fe	(fo – fe) 2
A	208
B	753
C	1143
D	3389

Step 4:
Total =

Step 5:

Answer: Φ = =

3. Using the same example in question #2

• Conduct a hypothesis test assuming that you have 10 times larger sample size (n=54,930)
• Calculate the phi coefficient (Φ). What does this tell you?

* hint: you can answer this question without any additional calculation (You may simply indicate the things that change from the answers for question #2)

Answer:

Step 1:

Step 2:

Step 3:

Step 4:

Step 5:

Answer:

4. Using the same example in question #2

• Conduct a hypothesis test with a significance level of .05
• Calculate the phi coefficient (Φ). What does this tell you?

* hint: you can answer this question without any additional calculation (You may simply indicate the things that change from the answers for question #2)

Answer:

Step 1:

Step 2:

Step 3:

Step 4:

Step 5:

Answer: