A. Determine test statistic B. Determine X^2 test statistic with using the frequencies.C. Reject or Fail to reject h0 The image presents a scenario involving polygraph (lie detector) experiments that were conducted by researchers. The table provided shows data on whether the polygraph test correctly identified if a subject lied or did not lie. ### Objective:To test the claim using a 0.05 significance level to determine if there is an independence between whether a subject lies and the polygraph test indication.### 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.### Selected Answer for Hypotheses:- **Option B:** - H₀: Whether a subject lies is independent of the polygraph test indication. - H₁: Whether a subject lies is not independent of the polygraph test indication.### Data Table:The table shows the relation between the polygraph test indication and the actual status of whether the subject lied:| | No (Did Not Lie) | Yes (Lied) ||-------------------------------|------------------|------------|| **Polygraph test indicated that the subject lied.** | 12 | 20 || **Polygraph test indicated that the subject did not lie.** | 24 | 7 |### Task:Determine the test statistic (χ²).- **χ²**: (To be calculated and rounded to three decimal places)This experiment aims to assess the accuracy of polygraph testing in distinguishing between truth and deception based on statistical analysis.

Given, a) Observed frequency (O) table: Applying the Chi-square test for independence, Expected…

Answered: The table below includes results from…

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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