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 407 56 Not_Sent_to_Prison 578 10 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. 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) 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.

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

See similar textbooks

Related questions

Question

100%

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 407 56
Not_Sent_to_Prison 578 10

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.

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)

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.

Expert Solution

Trending now

This is a popular solution!

Step by step

Solved in 3 steps

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

$Chi-squared Tests$

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, statistics and related others by exploring similar questions and additional content below.