Many people believe that criminals who plead guilty tend to get lighter sentences than those who are convicted in trials. The accompanying table summarizes randomly selected sample data for defendants in burglary cases. All of the subjects had prior prison sentences. Use a 0.05 significance level to test the claim that the sentence (sent to prison or not sent to prison) is independent of the plea. If you were an attorney defending a guilty defendant, would these results suggest that you should encourage a guilty plea? Guilty Plea Not Guilty Plea Sent to Prison 399 58 Not Sent to Prison 559 61 a) determine the null and alternative hypothesis. b) find the test statistic c) determine the P-value. d) does this reject or fail to reject H0?
Many people believe that criminals who plead guilty tend to get lighter sentences than those who are convicted in trials. The accompanying table summarizes randomly selected sample data for defendants in burglary cases. All of the subjects had prior prison sentences. Use a 0.05 significance level to test the claim that the sentence (sent to prison or not sent to prison) is independent of the plea. If you were an attorney defending a guilty defendant, would these results suggest that you should encourage a guilty plea?
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Guilty Plea
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Not Guilty Plea
|
|
||
|---|---|---|---|---|
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Sent to Prison
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399
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58
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|
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Not Sent to Prison
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559
|
|
61
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a) determine the null and alternative hypothesis.
b) find the test statistic
c) determine the P-value.
d) does this reject or fail to reject H0?
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