You as a researcher are interested in studying domestic violence. To examine thi

Question

You as a researcher are interested in studying domestic violence. To examine this problem, you select 40 domestic violence cases from Riverside County. You want to see whether there is a difference between (1) who handles the case and (2) whether an arrest is made. Using the table below answer questions a through f. Arrest No Yes Total Sheriff Police department State police Total 32 2 40 10 24 16 a. What is the independent and dependent variable? At what level of measurement are these variables measured? b. What is the probability that an arrest occurs in a domestic violence incident? c. What is the probability that the Sheriff's Office responded? d. What is the probability that either the State Police (SP) responded OR an arrest was made? e. What is the probability that no arrest was made? f. What is the probability that no arrest was made when the Sheriffs Office responded?

Explanation / Answer

(a)

Independent variable: who handle the case

Dependent variable: whether an arrest is made

(b)

Out of 40 cases, 16 results as arrest so

P(arrest) = 16/40 = 0.40

(c)

Out of 40 cases, in 6 cases Sheriff's office respond so

P(Sheriff's office respond) = 6/40 = 0.15

(d)

P(SP or arrest) = P(arrest) + P(SP) - P(SP and arrest) = (16/40) + (2/40) - (1/40)= 0.425

(e)

P(no arrest) = 24 /40 = 0.6

(f)

Out od 6 cases in which Sheriff's office respond, 1 results in no arrest so

P(no arrest | Sheriff's office respond) = 1 / 6

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