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 Prison398 398 61 Not Sent to Prison 544 51 It is deterined that: H0: 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. ***1. Determine the test statistic. X2 = ________ ***2. Determine the p-value test statistic. P-value = ____
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 Prison398 398 61 Not Sent to Prison 544 51 It is deterined that: H0: 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. ***1. Determine the test statistic. X2 = ________ ***2. Determine the p-value test statistic. P-value = ____
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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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?
|
|
Guilty Plea
|
Not Guilty Plea
|
|
|
|---|---|---|---|---|
|
Sent to Prison398
|
398 |
61
|
|
|
|
Not Sent to Prison
|
544
|
51
|
It is deterined that:
H0: 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.
***1. Determine the test statistic. X2 = ________
***2. Determine the p-value test statistic. P-value = _____
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