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Chi-Square Test For Goodness of Fit

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Statistics

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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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