document.write( "Question 1083119: 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?\r
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document.write( "_ Guilty_Plea Not_Guilty_Plea
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document.write( "Sent_to_Prison 373 48
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document.write( "Not_Sent_to_Prison 568 33 \n" );
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Algebra.Com's Answer #697125 by Boreal(15235)![]() ![]() You can put this solution on YOUR website! Sent_to_Prison------ 373 48===421 \n" ); document.write( "Not_Sent_to_Prison---- 568 33===601 \n" ); document.write( "==================941==81==1022\r \n" ); document.write( "\n" ); document.write( "The expected values are for the upper left: 421*941/1022, and the second row left 601*941/1022 \n" ); document.write( "Expected are \n" ); document.write( "387.63==33.37 \n" ); document.write( "553.37==47.63 \n" ); document.write( "sum of (O-E)^2/E=0.55+4.46+0.38+6.49=11.88 (11.85 using TI-83) \n" ); document.write( "The critical value is 3.84 at the 0.05 level \n" ); document.write( "This is highly significant statistically; whether one should encourage it depends upon other factors, but this would be an important one. About 89% go to prison who plea and about 95% who don't. \n" ); document.write( " \n" ); document.write( " |