The table belowincludes results from polygraph (lie detector) experiments conduc

Question

The table belowincludes results from polygraph (lie detector) experiments conducted by researchers. in each case, was known if the subjected led or did not le, so the table indicates when the polygraph test was correct Use significance level to test the claim that whether a subject les is independent of the polygraph test indication, Do the results suggest that poygraphs are in distinguishing between tuth and m Cick the icon to view the table O A Ho Polygraph testng is not accurate. H Polygraph testingis acourte. OB. Ho Whether asubiecties is not independent polygraph test inscason. H1: Whether asutjectlesis independent the polygraph testindoaton O c. H Wheeer asubject les sindependent otte polygraph test indication. H1: Whether a subject ies is not independent of the polygraph testindcation. O D. H Polygraph testing is accurate. H Polygraph testing is not accurate Determine the test statistic. (Round to three decimal places as needed Determine the Pvalue of the test statistic. P value. Round to four decimal places as needed) Do the esuts gaesthat polygraphs are indstinguishing between mun and les? O A There is suscient evidence rejecton ofthe claim that whether a sutieet is independent of the polygraph test indication. towarrant B. There is vidence o warrant rejection of the dam that polygraph tersngis9ss aoouate c. There is not sunciert videno wamant ejeosan claim that whether asutject esisindependent of the polygraph testindicaton. D. There is not suroent evidence to warrant rejection of the claim that polygraph testing is accurate Click to select your answerisi.

Explanation / Answer

Correct Aswer: Option (C)

The observed frequencies are

The expected frequencies are

The chisqure contribution values are

Degrees of freedom: 1

Test Statistic, X^2: 12.281
Critical X^2: 3.841456
P-Value: 0.0005

Here P value < alpha 0.05, So we reject H0

Thus we conclude that subject lies is not independent of polygraph test indication

Correct Anser: Option (A)

Acutally lie Test No Yes Total Lied 11 38 49 not Lie 17 10 27 Total 28 48 76

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