Question

Determine the test statistic

what is the P-Value

11.2.9-T Assigned Media Question Help 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?

Answer 1

Sali Observed Cor) Guilty Plea Not Guilty Plea 350 61 Tatal Sent to Prison 411 Not sent to br. 575 9.4 599 Total 1010 995 85 Expected value (E;) Guilty Rea Not. Total 41 sent to b. 376.411 34.5891 5gg Nat 548.589 50.4109 Total Lolo 925 85 Chi - Squared values = (0;-B1)/E; Guilty. Nat. Total 1.85319 20.1663 29.01949 Sent . Nat. 1.97151 13.837 15.10851 Total 3.19463 34.0033 37.12793 The test - statistic is. Chi - Square (X?) [(* 1(0; -E;)? 37.198 The P-value is = 0.0000 df= 1 d=0:05 p-value < 2=0.05. Rejict Ho.