Question

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?

	Guilty Plea	Not Guilty Plea
Sent to Prison	353	53
Not Sent to Prison	563	31

Answer 1

As p value <alpha (0.05) we reject the null and claim that there is a relationship between the two variables