2. Researchers know that the average rate of violence within intimate relationsh

Question

2. Researchers know that the average rate of violence within intimate relationships is 20 men or women per minute in the US (SD=2.47), according to the National Coalition against Domestic Violence (NCADV). The local chapter of the NCADV is concerned about area rates of domestic violence because the local average is 23.20 (N=265). They would like to determine if the local rate is the same as the national rate. (Total 29 pts)

A. What are the independent and dependent variables and how are each scaled (1 pt each; Total 4 pts)?

            Independent:________________________   Scaling:_____________________________

            Dependent:__________________________ Scaling:_____________________________

B. What test should be used (4 pts)?__________________________________________________

C. Why that test (2 pts)?

D. What are the null and alternative hypotheses for that test (4 pts)?

E. What are that tests assumptions (3 pts)?

F. What are the df (2 pts)?________________________

G. What is the critical value for p=.05 (2 pts)? _________________________

H. If the researchers calculate a test statistic of 1.78, should they (2 pts)?     Retain H0                  Reject H0

I. Interpret the findings (6 pts):

Explanation / Answer

A. What are the independent and dependent variables and how are each scaled (1 pt each; Total 4 pts)?

            Independent:Specific area

Scaling: Nomianal Scale

           Dependent: Rate of violence in intimate realtionsip

Scaling:Men or women per minute

B. What test should be used (4 pts)?

Z- test will be used.

C. Why that test (2 pts)?

Because Population Variance is known.

D. What are the null and alternative hypotheses for that test (4 pts)?

Null Hypothesis : H0: There is no difference between violence rate in local area and violance rate in US. [local = US]

ALternative Hypothesis : There is significant difference between violence rate in local area and violenece rate in US.

E. What are that tests assumptions (3 pts)?

1. Sample are normally distributed.

2. Data sample are unbiased and representative of total population.

3. The sample are randomly selected.

F. What are the df (2 pts)?

dF = 265 - 1 = 264

G. What is the critical value for p=.05 (2 pts)?

Critical value = +- 1.96

H. If the researchers calculate a test statistic of 1.78, should they (2 pts)?     Retain H0                  Reject H0

retain null Hypothesis as test statisitic is less than critical vlaue of Z .

I. Interpret the findings (6 pts):

We can interpret that there is no significant difference between crime rate in local area and United States. within intimate relationships

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