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
Section: Chapter Questions
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Section 11.2 Question #4

The table below includes results from polygraph​ (lie detector) experiments conducted by researchers. In each​ case, it was known if the subjected lied or did not​ lie, so the table indicates when the polygraph test was correct. Use a 0.05 significance level to test the claim that whether a subject lies is independent of the polygraph test indication. Do the results suggest that polygraphs are effective in distinguishing between truth and​ lies?
 
View the table
 
Did the Subject Actually​ Lie?
 
 
No​ (Did Not​ Lie)
Yes​ (Lied)
 
Polygraph test indicated that the subject lied.
9
48
 
 
Polygraph test indicated that the subject did not lie.
30
12
   
 
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.)
 
 
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