Answered: Determine the test statistic. χ2=…

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter10: Statistics

Section10.6: Summarizing Categorical Data

Problem 30PPS

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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?

Did the Subject Actually Lie?
	No (Did Not Lie)	Yes (Lied)
Polygraph test indicated that the subject lied.	20		34
Polygraph test indicated that the subject did not lie.	34		7

Determine the test statistic.

χ2=

Determine the P-value of the test statistic.

P-value=

Do the results suggest that polygraphs are effective in distinguishing between truth and lies?

There is not

sufficient evidence to warrant rejection of the claim that polygraph testing is 95% accurate.

There is not

sufficient evidence to warrant rejection of the claim that whether a subject lies is independent of the polygraph test indication.

There is

sufficient evidence to warrant rejection of the claim that polygraph testing is 95% accurate.

There is

sufficient evidence to warrant rejection of the claim that whether a subject lies is independent of the polygraph test indication.

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