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Many people bel that criminals who plead guilty tend to get lighter in trial. Th

ID: 3256648 • Letter: M

Question

Many people bel that criminals who plead guilty tend to get lighter in trial. The accompanying table arizes randomly gelected ple data for defendants in burglary All of the subjects had pror prison claim that the sentence (sent to prison or not sent to prison) is ndependent of the plea, ryou were an attorney a guity defendant would these resuts suggest that you should encourage a guilty plea H Cick the icon to view table. the O A. Ho: The sentence (sent to prison or not sent to prison) is independent of the plea H1: The sentence (sent to prison not independent of the O B. H The sentence (sent to prison or not sent to prison)is not independent of the plee. H1:The sentence (sent to prison or not sent to prison) is ndependent of the plea O c. H Pleading guilty does not reduce defendants chance of going to Prison. H1 Fleading guilty reduces defendant's chance of Going to prison O D. Ho: Pleading guilty reduces a defendants chance of going to prison. H1: Pleading guilty does not red defendant chance of going to prison. Determine the test statistio. Round to three decimal places needed.) Which of the olowing F-value ranges is Rp O A. P value

Explanation / Answer

option A is correct: Ho: the senntence is independent of the plea.

Ha:the senntence is not independent of the plea.

applying chi square test :

X2 =5.688

option B is correct : 0.01< pvalue <0.05

option B is correct: there is sufficient evidence to warrant rejection.............

Observed O guilty pleas Not guilty pleas Total sent to prison 415 50 465 not sent to prison 585 42 627 Total 1000 92 1092 Expected E=rowtotal*column total/grand total guilty pleas Not guilty pleas Total sent to prison 425.824 39.176 465 not sent to prison 574.176 52.824 627 Total 1000 92 1092 chi square =(O-E)^2/E guilty pleas Not guilty pleas Total sent to prison 0.275 2.9907 3.266 not sent to prison 0.204 2.218 2.422 Total 0.479 5.209 5.688
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