A psychologist claims that the number of repeat offenders will tend to change if first time offenders complete a particular rehabilitation course. You randomly select 20 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. Prison 1 3 4 6 7 9 10 11 12 13 14 15 16 17 18 19 20 Before 21 34 9 45 30 54 37 36 33 40 11 25 13 8 14 21 18 33 40 10 After 19 16 31 30 30 22 18 17 21 19 25 13 14 23 21 12 32 25 10 Test the hypothesis at 0.05 significance level if the number of offenders before rehabilitation is significantly different to the number of repeat offenders. 2寸2

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A psychologist claims that the number of repeat offenders will tend to change if first time offenders
complete a particular rehabilitation course. You randomly select 20 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.
Prison
1
6 7
8
9 10 11 12 13 14 15 16 17 18 19 20
Before
30 54
37 36 33 40 11 25 13 8 14 21 18 33 40
18 17 21
21
34
10
After
19
22
16 31
30 30 22
19 25 13 14 23 21
12 32 25
Test the hypothesis at 0.05 significance level if the number of offenders before rehabilitation is
significantly different to the number of repeat offenders.
2]
Transcribed Image Text:A psychologist claims that the number of repeat offenders will tend to change if first time offenders complete a particular rehabilitation course. You randomly select 20 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. Prison 1 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 Before 30 54 37 36 33 40 11 25 13 8 14 21 18 33 40 18 17 21 21 34 10 After 19 22 16 31 30 30 22 19 25 13 14 23 21 12 32 25 Test the hypothesis at 0.05 significance level if the number of offenders before rehabilitation is significantly different to the number of repeat offenders. 2]
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