Many people believe that criminals who plead guilty tend to get lighter sentence

Question

Many people believe that criminals who plead guilty tend to get lighter sentences than those 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 prison) is independent of the plea. If you were an attomey depending a the guilty dependent, would these results suggest that you should encourage a guilty plea? H_0 : Pleading guilty reduces a chance of going in prison. H_1 : Pleading guilty does not reduce a defendants chance of going to prison. H_0 : The sentence (sent to prison or not sent to prison) is not independent of plea. H_1 : The sentence (sent to prison or not sent to prison) is independent of the plea. H_0 : The sentence sent to prison or not sent to prison) is independent of e plea. H_1 : The sentence (sent to prison or not sent to prison)is not independent or the plea. Determine the test statistic. chi^2 = Determine the P-value of the test statistic. P-value = 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 attomey defending a guilty defendant, would these results suggest that you should encourage a guilty plea? A. There is sufficient evidence to warrant reaction of the claim that the sentence is independent of the plea. The results encourage pleas for guilty defendants. B. There is sufficient evidence to warrant rejection of the claim that the sentence is independent of the plea. The results do not encourage for guilty defendants. C. There is not sufficient not evidence to warrant rejection of the claim that he sentence is independent of the plea. The results encourage pleas for guilty defendants. D. There is not sufficient evidence to warrant rejection of the claim that the sentence is independent of the plea. The results do not encourage pleas for guilty defendants.

Explanation / Answer

Since the P-value=0.000<0.05=alpha, we reject H0.

Ans : Option B.

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