A psychologist claims that the number of repeat offenders will decrease if first time offenders complete a particular rehabilitation course. You randomly select 6 prisons and record the number of repeat offenders during a two-year period. Then, after first-time offenders complete the course, you record the number of repeat offenders at each prison for another two-year period. The results are shown in the following table. 2 3 4 5 6 Prison 1 Before 23 34 9 40 32 54 After 19 20 15 31 21 29 What is the test statistics and corresponding p-value? (A) Zobs = 5-3 √6+0.5*0.5' P-value = P(Z < Zobs), where Z~ N(0,1) 5-3 (B) Zobs = √6*0.5*0.5' P-value = P(Z > Zobs), where Z~ N(0,1) (C) Tobs =5, p-value = P(T < Tobs), where T~ Bin(6,0.5) (D) Tobs =5, p-value = P(T≥ Tobs), where T~ Bin (6,0.5)

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A psychologist claims that the number of repeat offenders will decrease if
first time offenders complete a particular rehabilitation course. You
randomly select 6 prisons and record the number of repeat offenders
during a two-year period. Then, after first-time offenders complete the
course, you record the number of repeat offenders at each prison for
another two-year period. The results are shown in the following table.
2 3 4 5 6
Prison 1
Before 23 34
9
40
32 54
After 19 20 15 31
21
29
What is the test statistics and corresponding p-value?
(A) Zobs
=
5-3
√6+0.5*0.5' P-value = P(Z < Zobs), where Z~ N(0,1)
5-3
(B) Zobs = √6*0.5*0.5' P-value = P(Z > Zobs), where Z~ N(0,1)
(C) Tobs =5, p-value = P(T < Tobs), where T~ Bin(6,0.5)
(D) Tobs =5, p-value = P(T≥ Tobs), where T~ Bin (6,0.5)
Transcribed Image Text:A psychologist claims that the number of repeat offenders will decrease if first time offenders complete a particular rehabilitation course. You randomly select 6 prisons and record the number of repeat offenders during a two-year period. Then, after first-time offenders complete the course, you record the number of repeat offenders at each prison for another two-year period. The results are shown in the following table. 2 3 4 5 6 Prison 1 Before 23 34 9 40 32 54 After 19 20 15 31 21 29 What is the test statistics and corresponding p-value? (A) Zobs = 5-3 √6+0.5*0.5' P-value = P(Z < Zobs), where Z~ N(0,1) 5-3 (B) Zobs = √6*0.5*0.5' P-value = P(Z > Zobs), where Z~ N(0,1) (C) Tobs =5, p-value = P(T < Tobs), where T~ Bin(6,0.5) (D) Tobs =5, p-value = P(T≥ Tobs), where T~ Bin (6,0.5)
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