Assess whether probation officers from different agencies write different numbers of probation violations.
Agency 1 |
Agency 2 |
Agency 3 |
20 |
8 |
17 |
18 |
12 |
20 |
12 |
12 |
25 |
15 |
16 |
20 |
11 |
10 |
17 |
16 |
10 |
23 |
12 |
18 |
23 |
State the null and research hypothesis in notation.
Calculate the obtained value.
Using an alpha level of 0.05, calculate the critical value.
Compare the obtained value to the critical value, and determine your conclusion.
null hypothesis:Ho:probation officers from different agencies write same numbers of probation violations.
alternate hypothesis: Ha: probation officers from different agencies write different numbers of probation violations.
from above obtained value =11.66
crtiical value =3.55
Decision:as test statitic is in rejection region we reject null hypothesis
Conclusion: we have sufficient evidence to conclude that probation officers from different agencies write different numbers of probation violations.
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