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? View the table. Guilty Plea Not Guilty Plea Sent to Prison 385 49 Not Sent to Prison 554 55 Determine the test statistic. χ2= _________ (Round to three decimal places as needed.) Determine the P-value of the test statistic. P-value= _________ (Round to four decimal places as needed.)
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? View the table. Guilty Plea Not Guilty Plea Sent to Prison 385 49 Not Sent to Prison 554 55 Determine the test statistic. χ2= _________ (Round to three decimal places as needed.) Determine the P-value of the test statistic. P-value= _________ (Round to four decimal places as needed.)
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 4BGP
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Section 11.2 Question #7
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?
View the table.
|
|
Guilty Plea
|
Not Guilty Plea
|
|
|
|---|---|---|---|---|
|
Sent to Prison
|
385
|
49
|
|
|
|
Not Sent to Prison
|
554
|
55
|
Determine the test statistic.
χ2= _________
(Round to three decimal places as needed.)Determine the P-value of the test statistic.
P-value= _________
(Round to four decimal places as needed.)Expert Solution
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