The New Jersey Department of Public Health offers psychological support programs
ID: 3071937 • Letter: T
Question
The New Jersey Department of Public Health offers psychological support programs for substance abuse patients with depression. It is suggested that the type of depression varies by the type of substance abuse. If so, such a relationship might help the department better target treatments. They random sample 75 medically declared substance abusers with depression. (C15PROB7.SAV) (2 = 5.12, p=.077; V=0.26; Lambdarow= 0.11, p > .05
Select and justify the best test(s). The chi-square, Phi, Yates, or Lambda (or even a combination) might be best for a problem given the data and research question. Do not assume the independent is always on the row.
Provide the null and alternative hypotheses in formal and plain language for the appropriate test at the 0.05 significance level.
Do the math and reject/retain null at a=.05. State your critical value.
Explain the results in plain language.
Substance Abuse Clinical Dysthymic Manic Alcohol 20 10 8 Drugs 10 15 12Explanation / Answer
Answer:
The New Jersey Department of Public Health offers psychological support programs for substance abuse patients with depression. It is suggested that the type of depression varies by the type of substance abuse. If so, such a relationship might help the department better target treatments. They random sample 75 medically declared substance abusers with depression. (:C15PROB7.SAV) (2 = 5.12, p=.077; V=0.26; Lambdarow= 0.11, p > .05
Substance Abuse
Clinical
Dysthymic
Manic
Alcohol
20
10
8
Drugs
10
15
12
Select and justify the best test(s). The chi-square, Phi, Yates, or Lambda (or even a combination) might be best for a problem given the data and research question. Do not assume the independent is always on the row.
Since we want to test is there any association between type of depression and type of substance abuse, chi square test is appropriate.
· Provide the null and alternative hypotheses in formal and plain language for the appropriate test at the 0.05 significance level.
Ho: There is no association between type of depression and type of substance abuse
H1: There is an association between type of depression and type of substance abuse
· Do the math and reject/retain null at a=.05. State your critical value.
Chi-Square Test
Observed Frequencies
Column variable
Calculations
Substance Abuse
Clinical
Dysthymic
Manic
Total
fo-fe
Alcohol
20
10
8
38
4.8000
-2.6667
-2.1333
Drugs
10
15
12
37
-4.8000
2.6667
2.1333
Total
30
25
20
75
Expected Frequencies
Column variable
Substance Abuse
Clinical
Dysthymic
Manic
Total
(fo-fe)^2/fe
Alcohol
15.2
12.6667
10.1333
38
1.5158
0.5614
0.4491
Drugs
14.8
12.3333
9.8667
37
1.5568
0.5766
0.4613
Total
30
25
20
75
Data
Level of Significance
0.05
Number of Rows
2
Number of Columns
3
Degrees of Freedom
2
Results
Critical Value
5.991
Chi-Square Test Statistic
5.1209
p-Value
0.0773
Do not reject the null hypothesis
calculated chi square = 5.1209
critical chi square at 0.05 level with 2 Df = 5.991
Since calculated chi square 5.1209 < critical value at 0.05 level, 5.991.
Ho is not rejected.
· Explain the results in plain language.
We conclude that there is no association between type of depression and type of substance abuse.
Substance Abuse
Clinical
Dysthymic
Manic
Alcohol
20
10
8
Drugs
10
15
12
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