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? a. Determine the test statistic. chi squared equals ​(Round to three decimal places as​ needed.)   b.  Determine the​ P-value of the test statistic. ​P-value equals ​(Round to four decimal places as​ needed.)

MATLAB: An Introduction with Applications
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Author:Amos Gilat
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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?

a. Determine the test statistic.
chi squared equals
​(Round to three decimal places as​ needed.)
 
b.  Determine the​ P-value of the test statistic.
​P-value equals
​(Round to four decimal places as​ needed.)
Guilty Plea
350
Not Guilty Plea
Sent to Prison
56
Not Sent to Prison
541
14
Transcribed Image Text:Guilty Plea 350 Not Guilty Plea Sent to Prison 56 Not Sent to Prison 541 14
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