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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An airline is charged by an airport based upon the total taxi-time that an airplane spends to take off and land. Suppose taxi time, a, at airport A is normally distributed with mean of 27 minutes and standard deviation 8 minutes; taxi time, b, at airport B is normally distributed with mean of 39 minutes and standard deviation 12 minutes; taxi time, c, at airport C is normally distributed with mean of 41 minutes and standard deviation 10 minutes. JJ Airlines has a plane flying to airport A, airport B, and airport C on Sunday. Airport A charges $131 per minute of taxi time; airport B charges $150 per minute of taxi time; airport c charges $200 per minute of taxi time. Let X = total amount of taxi time in minutes for the JJ plane. Let W = total taxi charges for the JJ plane. X is defined as X = a + b + c. W = 131a + 150b + 200c. Note that a, b, and c are independent of one another. d) Calculate the standard deviation of W. e) If we pick a value k such that the probability that X > k…
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Eye Color Based on a study by Dr. R Sorita at Indiana University, assume that 12% of us have green eyes. In a study of 650 people, it is found that 86 of them have green eyes. a. Find the probability of at least 86 people with green eyes among 650 randomly selected people. b. Is 86 people with green eyes significantly high?
Submit Angwer websign Studx f ASK YO 21-19 Points) DETAILS MY NOTES PODSTAT6 4.4.042.MI. The average playing time of music albums in a large collection is 32 minutes, and the standard deviation is 3 minutes. (a) What value is 1 standard deviation above the mean? I standard deviation below the mean? What values are 2 standard deviations away from the mea. 1 standard deviation above the mean 1 standard deviation below the mean 2 standard deviations above the mean 2 standard deviations below the mean (b) Without assuming anything about the distribution of times, at least what percentage of the times are between 26 and 38 minutes? (Round the answer to whole number) At least 96 (c) Without assuming anything about the distribution of times, what can be said about the percentage of times that are either less than 23 minutes or greater t 41 minutes? (Round the answer to the nearest whole number.) No more than (4) Assuming that the distribution of times is approximately normal, about what…
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