Many people believe that criminals who plead guilt 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 defending, would these results suggest that you would encourage a guilty plea? a) Determine the null and alternative hypothesis b)Determine the test statistic X2=. (Rounded to 3 decimal places) c) Determine the P-value of the test statistic (Round to 4 decimal places) d) 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 suggest that you should encourage a guilty plea?
Many people believe that criminals who plead guilt 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 defending, would these results suggest that you would encourage a guilty plea?
a) Determine the null and alternative hypothesis
b)Determine the test statistic
X2=. (Rounded to 3 decimal places)
c) Determine the P-value of the test statistic (Round to 4 decimal places)
d) 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 suggest that you should encourage a guilty plea?
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