hance of going to prison. f going to prison. f going to prison. More Info Sent to Prison Not Sent to Prison Guilty Plea 353 535 Not Guilty Plea 58 60

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter4: Equations Of Linear Functions
Section4.5: Correlation And Causation
Problem 11PPS
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11.10

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
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 indep
the plea. If you were an attorney defending a guilty defendant, would these results suggest that you should encourage a guilty plea?
Click the icon to view the table.
Determine the null and alternative hypotheses.
A. Ho: Pleading guilty does not reduce a defendant's chance of going to prison.
H₁: Pleading guilty reduces a defendant's chance of going to prison.
B. 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.
C. Ho: The sentence (sent to prison or not sent to prison) is independent of the plea.
H₁: The sentence (sent to prison or not sent to prison) is not independent of the plea.
D. 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.
More Info
Sent to Prison
Not Sent to Prison
Guilty Plea
353
535
Print
Not Guilty Plea
58
60
Done
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 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 indep the plea. If you were an attorney defending a guilty defendant, would these results suggest that you should encourage a guilty plea? Click the icon to view the table. Determine the null and alternative hypotheses. A. Ho: Pleading guilty does not reduce a defendant's chance of going to prison. H₁: Pleading guilty reduces a defendant's chance of going to prison. B. 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. C. Ho: The sentence (sent to prison or not sent to prison) is independent of the plea. H₁: The sentence (sent to prison or not sent to prison) is not independent of the plea. D. 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. More Info Sent to Prison Not Sent to Prison Guilty Plea 353 535 Print Not Guilty Plea 58 60 Done
Determine the test statistic.
x² = (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?
OA. 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.
OB. 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.
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 encourage pleas for guilty
defendants.
Transcribed Image Text:Determine the test statistic. x² = (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? OA. 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. OB. 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. 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 encourage pleas for guilty defendants.
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