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 Prison398 398 61     Not Sent to Prison 544 51     It is deterined that: H0​: The sentence​ (sent to prison or not sent to​ prison) is independent of the plea. H1​: The sentence​ (sent to prison or not sent to​ prison) is not independent of the plea.   ***1. Determine the test statistic. X2 = ________ ***2. Determine the p-value test statistic. P-value = ____

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