what are the answers to the questions below?

12) 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 0.025 significance level to test the claim that whether a subject lie is independent of the polygraph test indication. (13 points] Did the subject actually lie? No (Did not lie) Yes (Lied) Total Polygraph test indicated that the subject lied. 8 44 Polygraph test indicated that the subject did not lied. 14 12 Total (1 point) 1. Extract information. (Find n, r, c, of and the expected frequency) (2 points) (Round to two decimal places) 2. Original Claim: (1 point) 3. State the null and alternate hypotheses. (2 points) 4. Distribution (Graphically). (Show your critical value(s) and test statistic) (2 points) 5. Critical value(s). (Round to three decimal places) (1 point) 6. Compute the test statistic. (Use calculator) (Round to three decimal places) (1 point) 7. Statistical Conclusion. (2 points) 8. Final words: (1 point)