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?

MATLAB: An Introduction with Applications
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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?
E Click the icon to view the table.
Determine the null and alternative hypotheses.
Ho: The sentence (sent to prison or not sent to prison) is independent of the plea
H;: The sentence (sent to prison or not sent to prison
OB. H, Pleading guilty reduces a defendant's chance of
H;: Pleading guilty does not reduce a defendant's ch
More Info
OC. Ho: The sentence (sent to prison or not sent to prisor
H,: The sentence (sent to prison or not sent to priso
Guilty Plea
426
567
Not Guilty Plea
Sent to Prison
Not Sent to Prison
58
OD. Ho Pleading guilty does not reduce a defendant's ch
17
H;: Pleading guilty reduces a defendant's chance of
Determine the test statistic.
= (Round to three decimal places as needed.)
Print
Done
Transcribed Image Text: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? E Click the icon to view the table. Determine the null and alternative hypotheses. Ho: The sentence (sent to prison or not sent to prison) is independent of the plea H;: The sentence (sent to prison or not sent to prison OB. H, Pleading guilty reduces a defendant's chance of H;: Pleading guilty does not reduce a defendant's ch More Info OC. Ho: The sentence (sent to prison or not sent to prisor H,: The sentence (sent to prison or not sent to priso Guilty Plea 426 567 Not Guilty Plea Sent to Prison Not Sent to Prison 58 OD. Ho Pleading guilty does not reduce a defendant's ch 17 H;: Pleading guilty reduces a defendant's chance of Determine the test statistic. = (Round to three decimal places as needed.) Print Done
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