Are drug treatment programs effective in reducing crime? Researchers gathered re
ID: 3360527 • Letter: A
Question
Are drug treatment programs effective in reducing crime?
Researchers gathered records of a random sample of 495 offenders who were paroled to a treatment facility and 74 who were released without treatment. They also collected criminal records for two years following their release. The data they found is below. Conduct a 5 step chi square hypothesis test to determine if the drug treatment programs are effective in reducing crime (i.e. are they significantly related?).
Parole Condition
Criminal Record
Treatment
No Treatment
New Conviction
109
25
134
No Conviction
386
49
435
Totals
495
74
569
Assumptions:
Independent random samples (MUST HAVE here)
Level of measurement is nominal (CAN HAVE here )
Null/alternate: H0: Drug treatment and criminal record are independent
(H1: Drug treatment and criminal record are dependent) they need to state the variables in their hypothesis
Distribution / alpha / critical region: chi square dist; alpha their choice; df = 1 ; alpha .05 = critical region: 3.841
Test stat: X –square = 4.94 / Df=1
Reject null hypothesis. Drug treatment is linked significantly with NO conviction. Drug treatment programs are effective in reducing crime.
Please show your work!!
Parole Condition
Criminal Record
Treatment
No Treatment
New Conviction
109
25
134
No Conviction
386
49
435
Totals
495
74
569
Explanation / Answer
Null hypothesis: H0: Drug treatment and criminal record are independent
Alternative hypothesis H1: Drug treatment and criminal record are dependent
alpha:5%
Test statistic:
Chi square value=4.94
chi square crtical value at 1df with 5% level =3.841
Conclusion:
Z cal > Z critical value, we reject the H0. Hence claim is significant.
Hence Drug treatment and criminal record are dependent
Oi ei (oi-ei)^2/ei 109 116.572935 0.49196106 25 17.427065 3.29082057 386 378.427065 0.15154662 49 56.572935 1.01372404 sum= 4.94805229Related Questions
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