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Asked Jan 18, 2020
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Does It Pay to Plead Guilty? The accompanying table summarizes randomly selected sample data for San Francisco defendants in burglary cases (based on data from “Does It Pay to Plead Guilty? Differential Sentencing and the Functioning of the Criminal Courts,” by Brereton and Casper, Law and Society Review, Vol. 16, No. 1). 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?

Not Guilty Plea
Guilty Plea
Sent to Prison
392
58
Not Sent to Prison
564
14
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Not Guilty Plea Guilty Plea Sent to Prison 392 58 Not Sent to Prison 564 14

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Expert Answer

Step 1

The hypotheses are given below:

Statistics homework question answer, step 1, image 1
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Step 2

Chi-square test statistic:

Step by step procedure to obtain Chi-square Goodness-of-Fit using the MINITAB software:

  • Choose Stat > Tables > Chi-Square Test (Two-Way in Worksheet).
  • In Columns containing tables, enter the corresponding c...
Statistics homework question answer, step 2, image 1
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