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The table shows results from polygraph lie detector experiments conducted by researchers on 58 subjects In each case it was known if the subjected lied or did not lie Actually lied Polygraph indicated subject lied a Which is the nu Polygraph indicated subject did not lie Total 13 11 b Which is the alternative hypothesis 24 Did not actually lie 26 8 e What is the test statistic Round to 2 decimal places 34 Use a 0 05 significance level to test the claim that whether a subject lies is independent of the polygraph test indication Only need the blank ones Total f What are the degrees of freedom needed to find the p value g What is the p value Round to 4 decimal places 39 HO Whether a subject lies is independent of not related to the polygraph test indication OHO Polygraph testing is not accurate HO Polygraph testing is accurate HO Whether a subject lies is dependent of related to the polygraph test indication 19 58 H1 Whether a subject lies is independent of not related to the polygraph test indication H1 Polygraph testing is not accurate H1 Whether a subject lies is dependent of related to the polygraph test indication H1 Polygraph testing is accurate Before calculating the test statistic the expected values for each category must be found c What is the expected number of subjects who lied AND were accurately detected as lying by the polygraph Round to 2 decimal places d What is the expected number of subjects who lied BUT were detected as telling the truth by the polygraph Round to 2 decimal places h Do the results suggest that polygraphs are effective in distinguishing between truth and lies In other

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