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 sub 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 plea? Click the icon to view the table. - X Determine the null and alternative hypotheses. More Info 4 OA. Ho The sentence (sent to prison r not sent to prison) is independent of the plea H, The sentence (sent to prison or not sent to prison) is not independent of the plea OB. Ho The sentence (sent to prison or not sent to prison) is not independent of the plea H, The sentence (sent to prison or not sent to prison) is independent of the plea Guilty Plea 423 Not Guilty Plea D 50 13 566 OC. Ho Pleading guilty does not reduce a defendant's chance of going to prison H₁ Pleading guilty reduces a defendant's chance of going to prison OD. Ho Pleading guilty reduces a defendant's chance of going to prison. H₁ Pleading guilty does not reduce a defendant's chance of going to prison. Determine the test statistic x² = (Round to three decimal places as needed) Determine the P-value of the test statistic P-value= (Round to four decimal places as needed) Sent to Prison Not Sent to Prison Print Done