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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 indicat bolygraph 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 polygra effective in distinguishing between truth and lies? Click the icon to view the table. Determine the null and alternative hypotheses. OA. Ho: Polygraph testing is not accurate. H₁: Polygraph testing is accurate. More Info Polygraph test indicated that the subject lied. Polygraph test indicated that the subject did not lie. Did the Subject Actually Lie? No (Did Not Lie) Yes (Lied) 11 23 33 11 - X

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 indicat bolygraph 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 polygra effective in distinguishing between truth and lies? Click the icon to view the table. Determine the null and alternative hypotheses. OA. Ho: Polygraph testing is not accurate. H₁: Polygraph testing is accurate. More Info Polygraph test indicated that the subject lied. Polygraph test indicated that the subject did not lie. Did the Subject Actually Lie? No (Did Not Lie) Yes (Lied) 11 23 33 11 - X

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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11.99

p value and critical values

### Analyzing Polygraph Test Effectiveness The table presents data from polygraph test experiments where it was determined whether subjects actually lied or not, and the results of the polygraph test were recorded. Researchers use a 0.05 significance level to test the claim about the independence of a subject's lie and the polygraph test's indication. **Table Summary:** - **Did the Subject Actually Lie?** - **No (Did Not Lie)** - Polygraph indicated lying: 11 - Polygraph indicated not lying: 33 - **Yes (Lied)** - Polygraph indicated lying: 23 - Polygraph indicated not lying: 11 **Hypotheses:** - **Null hypothesis (H₀):** Whether a subject lies is independent of the polygraph test indication. - **Alternative hypothesis (H₁):** Whether a subject lies is not independent of the polygraph test indication. **Chi-Square Test:** - **Test Statistic (χ²):** 14.186 (rounded to three decimal places) - **P-value:** To be determined and rounded to four decimal places. This study seeks to evaluate the effectiveness of polygraph tests in determining truthfulness by analyzing the dependency between actual lies and polygraph indications.
Transcribed Image Text:### Analyzing Polygraph Test Effectiveness The table presents data from polygraph test experiments where it was determined whether subjects actually lied or not, and the results of the polygraph test were recorded. Researchers use a 0.05 significance level to test the claim about the independence of a subject's lie and the polygraph test's indication. **Table Summary:** - **Did the Subject Actually Lie?** - **No (Did Not Lie)** - Polygraph indicated lying: 11 - Polygraph indicated not lying: 33 - **Yes (Lied)** - Polygraph indicated lying: 23 - Polygraph indicated not lying: 11 **Hypotheses:** - **Null hypothesis (H₀):** Whether a subject lies is independent of the polygraph test indication. - **Alternative hypothesis (H₁):** Whether a subject lies is not independent of the polygraph test indication. **Chi-Square Test:** - **Test Statistic (χ²):** 14.186 (rounded to three decimal places) - **P-value:** To be determined and rounded to four decimal places. This study seeks to evaluate the effectiveness of polygraph tests in determining truthfulness by analyzing the dependency between actual lies and polygraph indications.
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