Question

In: Statistics and Probability

The table below includes results from polygraph​ (lie detector) experiments conducted by researchers. In each​ case,...

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. Ho​: Polygraph testing is not accurate.
H1​: Polygraph testing is accurate.

B. 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.

C. Ho​: Polygraph testing is accurate.
H1​: Polygraph testing is not accurate.

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 indication.

Determine the test statistic.

χ2 = ____________​

(Round to three decimal places as​ needed.)


Determine the​ P-value of the test statistic.

​P-value = ____________

​(Round to four decimal places as​ needed.)


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 whether a subject lies is independent of the polygraph test indication.

C. There is not sufficient evidence to warrant rejection of the claim that polygraph testing is​ 95% accurate.

D. There is sufficient evidence to warrant rejection of the claim that polygraph    testing is​ 95% accurate.

___________________________________________________________________________

   Did the Subject Actually​ Lie?

No​ (Did Not​ Lie) Yes​ (Lied)
Polygraph test indicated that the subject lied. 20 41

Polygraph test indicated that the subject did not lie.    22 11

Solutions

Expert Solution

orchestra answered 2 years ago
Next > < Previous

Related Solutions

The table below includes results from polygraph (lie detector) experiments conducted by researchers. In each case,...
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....
The table below includes results from polygraph​ (lie detector) experiments conducted by researchers. In each​ case,...
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? Did the Subject Actually​ Lie? No​ (Did Not​...
The table below includes results from polygraph? (lie detector) experiments conducted by researchers. In each? case,...
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? State the null and alternate hypothesis, test statistic,...
The table below includes results from polygraph​ (lie detector) experiments conducted by researchers. In each​ case,...
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? _                      Did_Not_Lie      Lied Polygraph_indicated_lie         11  ...
A POLYGRAPH (LIE DETECTOR) IS AN INSTRUMENT USED TO DETERMINE IF AN INDIVIDUAL IS TELLING THE...
A POLYGRAPH (LIE DETECTOR) IS AN INSTRUMENT USED TO DETERMINE IF AN INDIVIDUAL IS TELLING THE TRUTH. THESE TESTS ARE CONSIDERED TO BE 95 % RELIABLE. IN OTHER WORDS, IF AN INDIVIDUAL LIES, THERE IS A .95 PROBABILITY THAT THE TEST WILL DETECT A LIE. LET THERE ALSO BE A .025 PROBABILITY THAT THE TEST ERRONEOUSLY DETECTS A LIE EVEN WHEN THE INDIVIDUAL IS ACTUALLY TELLING THE TRUTH. CONSIDER THE NULL HYPOTHESIS, "THE INDIVIDUAL IS TELLING THE TRUTH, THE ANSWER...
4.4/7. 7.The accompanying table contains the results from experiments with a polygraph instrument. Find the probabilities...
4.4/7. 7.The accompanying table contains the results from experiments with a polygraph instrument. Find the probabilities of the events in parts​ (a) and​ (b) below. Are these events​ unlikely? _ No_(Did_Not_Lie) Yes_(Lied) Positive_test_result 9 22 Negative_test_result 40 15 a. Four of the test subjects are randomly selected with​ replacement, and they all had true negative test results. b. Four of the test subjects are randomly selected without​ replacement, and they all had true negative test results. a. The probability that...
suppose a police detective is about to administer a polygraph (lie detector) test on an "individual...
suppose a police detective is about to administer a polygraph (lie detector) test on an "individual of interest" . when a polygraph is administered to an individual who is lying, the chance that the test detects that the individual is lying is 90%. additionally, when polygraph test is administered to an individual who is telling the truth, the chance that the test indicates that the individual is not lying is 84%. finally, the police detective knows that "individuals of interest"...
- Researchers from the University of Toronto Scarborough conducted two experiments that looked at the effect...
- Researchers from the University of Toronto Scarborough conducted two experiments that looked at the effect of two different types of motivational intervention on prejudice reduction. Summarize the two types of motivational intervention that were used in their experiments. -If programs focusing on reducing prejudice are actually increasing prejudice, how should the issue of prejudice be addressed? -Even though researchers now know that reducing prejudice needs to focus on motivational interventions that are more personal in nature, the authors suggest...
A chemist is performing four experiments and each experiment has five results. The results for each...
A chemist is performing four experiments and each experiment has five results. The results for each experiment are given in the following table. An experiment is considered successful if the average of the five test results for a given experiment is between 25 and 32. Using a nested loop, write a script that (Python): - Compute and display the test results average for each experiment - Indicate is the experiment was successful or not 1st Results 49.1 15.8 16.9 25.2...
Hello to every one on this page. Below is the results from the experiment conducted on...
Hello to every one on this page. Below is the results from the experiment conducted on your plants extracts for your project work. The media (Muller Hinton agar) was seeded with 100ul of the test organism containing 10^6 CFU/ml. Garlic gave a positive result. And the results are as follows. Staphylococcus aureus =22mm ( Gentamicin = 26mm) Salmonella typhoid = 0.0mm (Gentamicin =30mm) Klebsiella pneumoniae =21mm ( Gentamicin =33mm) Candida albicans = 0.0 mm ( Gentamicin = 28mm) E.coli =...
ADVERTISEMENT
Subjects
ADVERTISEMENT
Latest Questions
ADVERTISEMENT