Computational Problem 1 You want to investigate the relationship between social
ID: 3135295 • Letter: C
Question
Computational Problem 1
You want to investigate the relationship between social disorganization and household crime. To do so, you ask a random sample of residents in a neighborhood how many times they have had something stolen from their home or vehicle in the past six months. You also ask them how long they have lived at their current address. You divide people into two groups – those who have lived at their current address for less than one year and those who have lived at their current address for one or more years. You predict that those who have lived at their current address for less than one year will be more vulnerable to becoming victims of household crime. Use the following information to test this hypothesis. Solve using the 5 step model. Set = .05. Should you use a one or two-tailed test? Why?
Less than one year More than one year
N1 = 59 N2 = 63
x1 = 22.4 x1 = 16.2
s1 = 2.0 s2 = 2.0
Explanation / Answer
Step1. H0: mu vulnerability less than 1year=mu vulnerability more than 1 year
H1: mu vulnerability less than 1 year> muvulnerability less than 1 year
Step2. Assume the independence group assumption, Independence assumption and Randomization condition, and Neraly normal condition are reasonably met.
Step3. Perform 2-sample t test.
Step4. Compute test statistic:
SE(X1bar-X2bar)=sqrt [SE^2(Y1bar)+SE^2(Y2bar)]=sqrt (S1^2/N1+S2^2/N2)=sqrt (2^2/59+2^2/63)=0.57
The observed difference=X1bar-X2bar=22.4-16.2=6.2
t=(X1bar-X2bar)-0/SE(X1bar-X2bar)=(6.2-0)/0.57=17.11
Step5. Conclusion
The p value is 0.000, and is less than 0.05. Therefore, reject null hypothesis to conclude that who lived at their current residence for less than 1 year will be more vulnerable to becoming victims of household crimes.
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