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Chi-Square Test For Goodness of Fit

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Chi-Square Test For Goodness of Fit
Q)
.
A statistical model was built for predicting reconviction based on three years of post-prison follow up of 347 men who had been
imprisoned for crimes against persons or property. It was possible to classify the prisoner as having either low risk, medium risk
or high risk of re-o&ending. To see how useful the classi'cation was a further 225 prisoners were studied on leaving prison. The
results are shown in the table below.
Risk group
Low Medium High Total
Reconvicted 23 50 53 126
Not reconvicted 52 25 22 99
Total 75 75 75 225
Is there an association between the risk group and whether the prisoner is reconvicted? Carry out a hypothesis test to
answer this question. Ensure that you include all the steps for hypothesis testing.
Answer)
We use Chi-square test for goodness of for to test signi'cance between boys and girls
We Find E- Matrix Table as below chart
Set up Hypothesis
Ho: an association between the risk group and the prisoner is reconvicted
Ha: There is signi'cance between the risk group and the prisoner is reconvicted
Test Statistic

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Chi-Square Test For Goodness of Fit Q) . A statistical model was built for predicting reconviction based on three years of post-prison follow up of 347 men who had been imprisoned for crimes against persons or property. It was possible to classify the prisoner as having either low risk, medium risk or high risk of re-offending. To see how useful the classification was a further 225 prisoners were studied on leaving prison. The results are shown in the table below. Risk group Low Medium High Total Reconvicted 23 50 53 126 Not reconvicted 52 25 22 99 Total 75 75 75 225 Is there an associat ...
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