i) ... which residual indicates that the observed proportion is closest to expected? [ Select ] ["-0.39", "-0.12", "3.42", "-0.79", "0.43", "0.21", "1.38", "-2.13", "-1.76"] (ii) ... which residual indicates that the observed proportion is furthest from expected? [ Select ] ["-1.76", "3.42", "0.21", "-0.39", "0.43", "1.38", "-2.13", "-0.79", "-0.12"] (iii) ... the percentage of offenders who received individual therapy and went back to prison in 1 year was [ Select ] ["lower", "higher"] than expected. (iv) ... the percentage of offenders who received group therapy and went back to prison in 1 to 10 years was [ Select ] ["lower", "higher"] than expected. (v) ... of the offenders who went back to prison in 1 to 10 years, the percentage who had received no psychotherapy was [ Select ] ["closer to", "further from"] expected than the percentage who had received individual therapy. (vi) ... of the offenders who received individual therapy, the percentage who went back to prison in 1 year was [ Select ] ["further from", "closer to"] expected than the percentage who never went back to prison. * I don't want to give away what the null hypothesis is, that is why I did not write it out in context.
(i) ... which residual indicates that the observed proportion is closest to expected? [ Select ] ["-0.39", "-0.12", "3.42", "-0.79", "0.43", "0.21", "1.38", "-2.13", "-1.76"]
(ii) ... which residual indicates that the observed proportion is furthest from expected? [ Select ] ["-1.76", "3.42", "0.21", "-0.39", "0.43", "1.38", "-2.13", "-0.79", "-0.12"]
(iii) ... the percentage of offenders who received individual therapy and went back to prison in 1 year was [ Select ] ["lower", "higher"] than expected.
(iv) ... the percentage of offenders who received group therapy and went back to prison in 1 to 10 years was [ Select ] ["lower", "higher"] than expected.
(v) ... of the offenders who went back to prison in 1 to 10 years, the percentage who had received no psychotherapy was [ Select ] ["closer to", "further from"] expected than the percentage who had received individual therapy.
(vi) ... of the offenders who received individual therapy, the percentage who went back to prison in 1 year was [ Select ] ["further from", "closer to"] expected than the percentage who never went back to prison.
* I don't want to give away what the null hypothesis is, that is why I did not write it out in context.
![RECIDIVISM
Report a Chi-Square test of Independence and use a 5% significance level.
Please answer this question about the standardized residuals, regardless of
whether you rejected the null hypothesis or not.
The table below shows the standardized residuals. Answer each question
that follows by choosing the BEST option.
TREATMENT RECEIVED
STANDARDIZED RESIDUALS
No
Individual
Group
Psychotherapy
Therapy
Therapy
Never back in
-0.39
-2.13
3.42
prison
RECIDIVISM
Back in prison
-0.12
1.38
-1.76
RATE
within one year
Back in prison in
0.43
0.21
-0.79
1-10 years
Assuming that the null hypothesis is true*, .](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F67cd3f4f-dcc4-44d4-83f4-13332296f2a9%2F2c5d7f40-afb9-452f-8c4a-e9fb01b12cce%2F95xia5_processed.png&w=3840&q=75)
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