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? Click the icon to view the table. Determine the null and alternative hypotheses. More Info O A. Ho: Polygraph testing is not accurate. H₁: Polygraph testing is accurate. Did the Subject Actually Lie? No (Did Not Lie) 8 Yes (Lied) 32 OB. Ho: Whether a subject lies is independent of the polygraph test indication. H₁: Whether a subject lies is not independent of the polygraph test indication. 29 10 OC. Ho: Whether a subject lies is not independent of the polygraph test indication. H₁: Whether a subject lies is independent of the polygraph test indication. OD. Ho: Polygraph testing is accurate. H₁: Polygraph testing is not accurate. Done Polygraph test indicated that the subject lied. Polygraph test indicated that the subject did not lie. Print

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
icon
Related questions
Question
**Polygraph Test Accuracy Analysis**

**Introduction:**
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?

**Determine the Null and Alternative Hypotheses:**
- **A.**
  - \( H_0 \): Polygraph testing is not accurate.
  - \( H_1 \): Polygraph testing is accurate.
- **B.**
  - \( H_0 \): Whether a subject lies is independent of the polygraph test indication.
  - \( H_1 \): Whether a subject lies is not independent of the polygraph test indication.
- **C.**
  - \( H_0 \): Whether a subject lies is not independent of the polygraph test indication.
  - \( H_1 \): Whether a subject lies is independent of the polygraph test indication.
- **D.**
  - \( H_0 \): Polygraph testing is accurate.
  - \( H_1 \): Polygraph testing is not accurate.

**More Info:**

| Did the Subject Actually Lie?              | No (Did Not Lie) | Yes (Lied) |
|--------------------------------------------|------------------|------------|
| Polygraph test indicated that the subject lied. |        8         |      32    |
| Polygraph test indicated that the subject did not lie. |        29        |      10    |

**Instructions:**
- Click the icon to view the table.
- Use the information provided to select the appropriate null and alternative hypotheses.

**Submission:**
- Print or confirm your selection using the options below.

**Options:**
- **Print**
- **Done**
Transcribed Image Text:**Polygraph Test Accuracy Analysis** **Introduction:** 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? **Determine the Null and Alternative Hypotheses:** - **A.** - \( H_0 \): Polygraph testing is not accurate. - \( H_1 \): Polygraph testing is accurate. - **B.** - \( H_0 \): Whether a subject lies is independent of the polygraph test indication. - \( H_1 \): Whether a subject lies is not independent of the polygraph test indication. - **C.** - \( H_0 \): Whether a subject lies is not independent of the polygraph test indication. - \( H_1 \): Whether a subject lies is independent of the polygraph test indication. - **D.** - \( H_0 \): Polygraph testing is accurate. - \( H_1 \): Polygraph testing is not accurate. **More Info:** | Did the Subject Actually Lie? | No (Did Not Lie) | Yes (Lied) | |--------------------------------------------|------------------|------------| | Polygraph test indicated that the subject lied. | 8 | 32 | | Polygraph test indicated that the subject did not lie. | 29 | 10 | **Instructions:** - Click the icon to view the table. - Use the information provided to select the appropriate null and alternative hypotheses. **Submission:** - Print or confirm your selection using the options below. **Options:** - **Print** - **Done**
### Title: Evaluating the Effectiveness of Polygraph Tests

#### Introduction:
The table below includes results from polygraph (lie detector) experiments conducted by researchers. In each case, it was known if the subject lied or did not lie, so the table indicates whether 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?

#### Instructions:
Click the icon to view the table.

#### Tasks:
1. \(\chi^2\) (Round to three decimal places as needed): ___________
2. Determine the P-value of the test statistic:
   - P-value = _________ (Round to four decimal places as needed)
  
#### Discussion:
Do the results suggest that polygraphs are effective in distinguishing between truth and lies?

- **A.** There is not sufficient evidence to warrant rejection of the claim that whether a subject lies is independent of the polygraph test indication.
- **B.** There is sufficient evidence to warrant rejection of the claim that polygraph testing is 95% accurate.
- **C.** There is sufficient evidence to warrant rejection of the claim that whether a subject lies is independent of the polygraph test indication.
- **D.** There is not sufficient evidence to warrant rejection of the claim that polygraph testing is 95% accurate.
Transcribed Image Text:### Title: Evaluating the Effectiveness of Polygraph Tests #### Introduction: The table below includes results from polygraph (lie detector) experiments conducted by researchers. In each case, it was known if the subject lied or did not lie, so the table indicates whether 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? #### Instructions: Click the icon to view the table. #### Tasks: 1. \(\chi^2\) (Round to three decimal places as needed): ___________ 2. Determine the P-value of the test statistic: - P-value = _________ (Round to four decimal places as needed) #### Discussion: Do the results suggest that polygraphs are effective in distinguishing between truth and lies? - **A.** There is not sufficient evidence to warrant rejection of the claim that whether a subject lies is independent of the polygraph test indication. - **B.** There is sufficient evidence to warrant rejection of the claim that polygraph testing is 95% accurate. - **C.** There is sufficient evidence to warrant rejection of the claim that whether a subject lies is independent of the polygraph test indication. - **D.** There is not sufficient evidence to warrant rejection of the claim that polygraph testing is 95% accurate.
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps with 3 images

Blurred answer
Similar questions
Recommended textbooks for you
MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
Probability and Statistics for Engineering and th…
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
Statistics for The Behavioral Sciences (MindTap C…
Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
Elementary Statistics: Picturing the World (7th E…
Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON
The Basic Practice of Statistics
The Basic Practice of Statistics
Statistics
ISBN:
9781319042578
Author:
David S. Moore, William I. Notz, Michael A. Fligner
Publisher:
W. H. Freeman
Introduction to the Practice of Statistics
Introduction to the Practice of Statistics
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman