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 attormey defending a guilty defendant, would these results suggest that you should encourage a guilty plea? E Click the icon to view the table. Determine the nul and alternative hypotheses. O A. Hg: Pleading guilty reduces a defendant's chance of going to prison. H: Pleading guilty does not reduce a defendant's chance of going to prison. O More Info O B. Hg: The sentence (sent to prison or not sent to prison) is independent of the plea H: The sentence (sent to prison or not sent to prison) is not independent of the plea OC. Ho: The sentence (sent to prison or not sent to prison) is not independent of the plea. H: The sentence (sent to prison or not sent to prison) is independent of the plea Sent to Prison Not Sent to Prison Guilty Plea 43 580 Not Guilty Plea O 61 OD. Hg: Pleading guilty does not reduce a defendant's chance of going to prison. H,: Pleading guilty reduces a defendant's chance of going to prison. Print Done Determine the test statistic. *= Round to three decimal places as needed.) Determine the P-value of the test statistic P-value =O (Round to four decimal places as needed) 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? O A. There is not sufficient evidence to warrant rejection of the claim that the sentence is independent of the plea. The results encourage pleas for guilty defendants. O B. There is sufficient evidence to warrant rejection of the claim that the sentence is independent of the plea. The results encourage pleas for guilty defendants. OC. There is 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. OD. 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.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
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ISBN:9780079039897
Author:Carter
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Chapter10: Statistics
Section: Chapter Questions
Problem 8SGR
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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?

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?
E Click the icon to view the table,
Determine the null and alternative hypotheses.
O A. Ho: Pleading guilty reduces a defendant's chance of going to prison.
H1: Pleading guilty does not reduce a defendant's chance of going to prison.
More Info
O B. Ho: The sentence (sent to prison or not sent to prison) is independent of the plea.
H,: The sentence (sent to prison or not sent to prison) is not independent of the plea.
Guilty Plea
Not Guilty Plea O
OC. Ho: The sentence (sent to prison or not sent to prison) is not independent of the plea.
H1: The sentence (sent to prison or not sent to prison) is independent of the plea.
Sent to Prison
Not Sent to Prison
433
580
61
68
O D. Ho: Pleading guilty does not reduce a defendant's chance of going to prison.
H,: Pleading guilty reduces a defendant's chance of going to prison.
Print
Done
Determine the test statistic.
x = (Round to three decimal places as needed.)
Determine the P-value of the test statistic.
P-value =
(Round to four decimal places as needed.)
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?
O A. There is not sufficient evidence to warrant rejection of the claim that the sentence is independent of the plea. The results encourage pleas for guilty defendants.
O B. There is sufficient evidence to warrant rejection of the claim that the sentence is independent of the plea. The results encourage pleas for guilty defendants.
O C. There is 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.
O 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.
Transcribed Image Text: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? E Click the icon to view the table, Determine the null and alternative hypotheses. O A. Ho: Pleading guilty reduces a defendant's chance of going to prison. H1: Pleading guilty does not reduce a defendant's chance of going to prison. More Info O B. Ho: The sentence (sent to prison or not sent to prison) is independent of the plea. H,: The sentence (sent to prison or not sent to prison) is not independent of the plea. Guilty Plea Not Guilty Plea O OC. Ho: The sentence (sent to prison or not sent to prison) is not independent of the plea. H1: The sentence (sent to prison or not sent to prison) is independent of the plea. Sent to Prison Not Sent to Prison 433 580 61 68 O D. Ho: Pleading guilty does not reduce a defendant's chance of going to prison. H,: Pleading guilty reduces a defendant's chance of going to prison. Print Done Determine the test statistic. x = (Round to three decimal places as needed.) Determine the P-value of the test statistic. P-value = (Round to four decimal places as needed.) 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? O A. There is not sufficient evidence to warrant rejection of the claim that the sentence is independent of the plea. The results encourage pleas for guilty defendants. O B. There is sufficient evidence to warrant rejection of the claim that the sentence is independent of the plea. The results encourage pleas for guilty defendants. O C. There is 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. O 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.
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