### Polygraph Test ResultsThis table presents data from a study on the effectiveness of polygraph tests in detecting lies. The table compares the polygraph test results with the actual behavior of the subjects.#### Table Explanation:**Columns:**1. **Did the Subject Actually Lie?** - **No (Did Not Lie)** - **Yes (Lied)****Rows:**1. **Polygraph test indicated that the subject lied.** - When the polygraph indicated lying, 12 subjects had not actually lied, and 25 subjects had lied. 2. **Polygraph test indicated that the subject did not lie.** - When the polygraph indicated no lie, 22 subjects had not actually lied, and 12 subjects had lied.This data provides insight into both the true positive and false positive rates of the polygraph test, as well as its true negative and false negative rates. The text outlines an analysis of polygraph (lie detector) experiments conducted by researchers, aimed at assessing the accuracy of polygraph tests. The table provided in the study records instances of subjects either lying or not lying, and notes whether the polygraph test results were correct. At a significance level of 0.05, the study explores whether lying is independent of the polygraph's indication.### Hypotheses:- **A.** - \( H_0 \): Polygraph testing is accurate. - \( H_1 \): Polygraph testing is not accurate. - **B.** - \( H_0 \): 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. - **C.** - \( H_0 \): Polygraph testing is not accurate. - \( H_1 \): Polygraph testing is accurate. - **D.** - \( H_0 \): Whether a subject lies is independent of the polygraph test indication. (This option is marked as correct) - \( H_1 \): Whether a subject lies is not independent of the polygraph test indication.### Statistic:- The chi-square (\( \chi^2 \)) test statistic needs to be calculated, rounded to three decimal places.This investigation seeks to determine the effectiveness of polygraphs in distinguishing between truth and lies by using statistical analysis to validate or refute the independence of actual lying from the test results.

State the hypotheses. Null hypothesis: Alternative hypothesis: Correct option: Option DObtain the value of the test statistic. The value of the test statistic is obtained below: Thus, the value of the test statistic is 7.395. Obtain the P-value. Obtain the degrees of freedom. The degrees of freedom is obtained below: Follow the instruction to obtain the chi square P- value: Open EXCEL Go to Formula bar. In formula bar enter the function as“=CHIDIST” Enter the chi square as 7.395 Enter the degrees of freedom as 1. Click enter EXCEL output: From the EXCEL output, the P-value is 0.0065 Thus, the P-value is 0.0065. The conclusion of the test is stated below: Conclusion: Use the significance level as 0.05. The p-value is less than the level of significance. By rejection rule, reject the null hypothesis. That is, the subject lies is not independent of the polygraph test indication.

Math

Statistics

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 polygrap test indication. Do the results suggest that polygraphs are effective in distinguishing between truth and lies? E Click the icon to view the table. Determine the null and alternative hypotheses O A. Hg: Polygraph testing is accurate. H: Polygraph testing is not accurate. OB. Hg: Whether a subject lies is not independent of the polygraph test indication. H: Whether a subject lies is independent of the polygraph test indication. OC. Ha: Polygraph testing is not accurate H,: Polygraph testing is accurate. D. Hg: Whether a subject lies is independent of the polygraph test indication. H,: Whether a subject lies is not independent of the polygraph test indication. Determine the test statistic. -O (Round to three decimal places as needed)

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 polygrap test indication. Do the results suggest that polygraphs are effective in distinguishing between truth and lies? E Click the icon to view the table. Determine the null and alternative hypotheses O A. Hg: Polygraph testing is accurate. H: Polygraph testing is not accurate. OB. Hg: Whether a subject lies is not independent of the polygraph test indication. H: Whether a subject lies is independent of the polygraph test indication. OC. Ha: Polygraph testing is not accurate H,: Polygraph testing is accurate. D. Hg: Whether a subject lies is independent of the polygraph test indication. H,: Whether a subject lies is not independent of the polygraph test indication. Determine the test statistic. -O (Round to three decimal places as needed)

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

See similar textbooks

Similar questions

A marketing agency wanted to determine if a new commercial changed people's opinion about a company. They recruited n=30 participants to watch the commercial. First, everyone was givien a survey to determine their attitudes toward the company. Then, everyone watched the new commercial. Finally, they were given the same survey again and asked about their attitudes toward the comapny after seeing the commercial. The agency wanted to see if attitudes were changed by the commercial. What statistical test should they use?
Hi Great Bartleby Team, I need asap help for this exercise, Please answer all the parts of the exercise. Thanks a lot in advance.
A study was conducted to determine the proportion of people who dream in black and white instead of color. Among 297 people over the age of 55, 75 dream in black and white, and among 310 people under the age of 25, 19 dream in black and white. Use a 0.05 significance level to test the claim that the proportion of people over 55 who dream in black and white is greater than the proportion for those under 25. Complete parts (a) through (c) below. a. Identify the test statistic. z= 6.51 (Round to two decimal places as needed.) Identify the P-value. P-value = 3.770o (Round to three decimal places as needed.) What is the conclusion based on the hypothesis test? The P-value is greater than the significance level of a = 0.05, so fail to reject the null hypothesis. There is insufficient evidence to support the claim that the proportion of people over 55 who dream in black and white is greater than the proportion for those under 25. b. Test the claim by constructing an appropriate confidence…
A classic story involves four carpooling students who missed a test and gave as an excuse a flat tire. On the makeup test, the instructor asked the students to identify the particular tire that went flat. If they really didn't have a flat tire, would they be able to identify the same tire? A statistician asked 47 other randomly selected students to identify the tire they would select. The results are listed in the accompanying table. Use a 0.05 significance level to test the statistician's claim that the results fit a uniform distribution. What does the result suggest about the likelihood of four students identifying the same tire when they really didn't have a flat? Tire Number Selected Left Front 12 Right Front 8 ... Determine the null and alternative hypotheses. Ho: The tires are selected with the same frequency. H₁: At least one tire has a different frequency than the other tires. Calculate the test statistic, X². x² = (Round to three decimal places as needed.) Left Rear 14 Right…
Use the technology display, which results from the head injury measurements from car crash dummies listed below. The measurements are in hic (head injury criterion) units, and they are from the same cars used for the table below. Use a 0.01 significance level to test the given claim. Test the null hypothesis that head injury measurements are not affected by an interaction between the type of car (foreign, domestic) and size of the car (small, medium, large). What do you conclude? Click the icon to view the data table and technology display. What are the null and alternative hypotheses? O A. Ho: Head injury measurements are affected by an interaction between type of car and size of the car. H₁: Head injury measurements are not affected by an interaction between type of car and size of the car. O C. Ho: Head injury measurements are not affected by type of car. H₁: Head injury measurements are affected by type of car. xample Get more help. Data table Foreign Domestic Small 294 534 509 411…
Winning team data were collected for teams in different sports, with the results given in the accompanying table. Use a 0.05 significance level to test the claim that home/visitor wins are independent of the sport. Given that among the four sports included here, baseball is the only sport in which the home team can modify field dimensions to favor its own players, does it appear that baseball teams are effective in using this advantage? Click the icon to view the data table. Determine the null and alternative hypotheses. Choose the correct answer below. A. Ho: Basketball games are more likely to win at home than any other sport. H₁: Basketball games are not more likely to win at home than any other sport. OB. Ho: The home/visitor win is independent of the sport. H₁: The home/visitor win is not independent of the sport. OC. Ho: The home/visitor win is dependent on the sport. H₁: The home/visitor win is not dependent on the sport. OD. Ho: Basketball games are not more likely to win at…
Statistical discrimination is: a preconceived bias, not based on reason or experience, against a group. O the use of observations about the average characteristics of a group to make inferences about an individual member of the group. a feeling of inferiority arising from membership in a small group. O judgments shaped by the unconscious attribution of particular qualities to specific groups.
Please see question details in the attached picture.
Use the technology display, which results from the head injury measurements from car crash dummies listed below. The measurements are in hic (head injury criterion) units, and they are from the same cars used for the table below. Use a 0.01 significance level to test the given claim. Test the null hypothesis that head injury measurements are not affected by an interaction between the type of car (foreign, domestic) and size of the car (small, medium, large). What do you conclude? Click the icon to view the data table and technology display. What are the null and alternative hypotheses? O A. Ho: Head injury measurements are affected by an interaction between type of car and size of B. Ho: Head injury measurements are not affected by an interaction between type of car and size of the car. H₁: Head injury measurements are affected by an interaction between type of car and size of the car. the car. H₁: Head injury measurements are not affected by an interaction between type of car and size…
Use the technology display, which results from the head injury measurements from car crash dummies listed below. The measurements are in hic (head injury criterion) units, and they are from the same cars used for the table below. Use a 0.10 significance level to test the given claim. Test the null hypothesis that head injury measurements are not affected by an interaction between the type of car (foreign, domestic) and size of the car (small, medium, large). What do you conclude? Click the icon to view the data table and technology display. What are the null and alternative hypotheses? O A. Ho: Head injury measurements are not affected by an interaction between type of car and size of the car. H₁: Head injury measurements are affected by an interaction between type of car and size of the car. O C. Ho: Head injury measurements are not affected by type of car. H₁: Head injury measurements are affected by type of car. Find the test statistic. F = (Round to two decimal places as needed.)…
PLEASE ONLY SELECT THE ANSWERS AS SHOWN FOR THE MULTIPLE CHOICE, SUCH AS OPTION 1, 2, ETC. In a study of 796 randomly selected medical malpractice lawsuits, it was found that 489 of them were dropped or dismissed. Use a 0.05 significance level to test the claim that most medical malpractice lawsuits are dropped or dismissed. Which of the following is the hypothesis test to be conducted? A. H0: p>0.5 H1: p=0.5 B. H0: p<0.5 H1: p=0.5 C. H0: p≠0.5 H1: p=0.5 D. H0: p=0.5 H1: p>0.5 E. H0: p=0.5 H1: p<0.5 F. H0: p=0.5 H1: p≠0.5 What is the test statistic? Z=≠ (Round to two decimal places as needed.) What is the P-value? P-value= (Round to three decimal places as needed.) What is the conclusion about the null hypothesis? Reject the null hypothesis because the P-value is greater than the significance level, α. Reject the null hypothesis because the P-value is less than or equal to the significance level, α. Fail to reject the null hypothesis because the…
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? E Click the icon to view the table. Determine the null and alternative hypotheses. O A. 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. O B. Ho: Polygraph testing is not accurate. H1: Polygraph testing is accurate. O C. Ho: Polygraph testing is accurate. H1: Polygraph testing is not accurate. O D. Ho: Whether a subject lies is not independent of the polygraph test indication. H1: Whether a subject lies is independent of the polygraph test…