Recent reports suggest that children who grow up with family members who use dru
ID: 3371115 • Letter: R
Question
Recent reports suggest that children who grow up with family members who use drugs are more likely to be arrested. To test this phenomenon, a researcher interviews a sample of n = 120 college students. Each student is asked about family member drug use during their childhood and about his or her criminal history.
Number of drug using
family members
0
1
2 or More
No Arrest
22
50
18
90
Arrest
18
10
2
30
40
60
20
Do the data indicate a significant relationship between family member drug use and arrest? Test at the .05 level of significance. (Use 2 decimal places.)
?2-critical =
?2 =
What is your decision regarding the null? Type either “ reject”> or “accept” in the box
Compute Cramér's V to measure the effect size (Use 3 decimal places).
V =
How would you describe the effect size? Write small, medium, or large in the box.
Number of drug using
family members
Explanation / Answer
Ho:family member drug use and arrest are independent
H1:family member drug use and arrest are dependent
alpha=0.05
test statistic=13.16
df=(r-1)(c-1)
=(2-1)(3-1)
=1*2
df =2
chi sq critical=5.99
What is your decision regarding the nul
Chi sq > chi sq criticsl
Reject Ho
Compute Cramér's V to measure the effect size (Use 3 decimal places).
V =sqrt(Chisq stat/N(k-1)
k=smallest of no of rows or columns
here smallest no of rows
k=2
N=no of cases=120 here
V=sqrt(13.15556/120*1)
V=0.331
Effect is medium
O E O-E (O-E)^2 (O-E)^2/E 22 30 -8 64 2.133333 50 45 5 25 0.555556 18 15 3 9 0.6 18 10 8 64 6.4 10 15 -5 25 1.666667 2 5 -3 9 1.8 CHI SQ STAT 13.16Related Questions
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