**Educational Website Content: Understanding Hypotheses Testing in Polygraph Trials**In a study using a polygraph machine, there were 99 results: 23 were wrong, and 76 were correct. We wish to test the claim that the polygraph results are correct less than 80% of the time using a 0.01 significance level.**Task:**Identify the null hypothesis, alternative hypothesis, test statistic, P-value, and any conclusions regarding the original claim. We'll approximate using a normal distribution.**Hypotheses Options:**1. Option A: - \( H_0: p = 0.80 \) - \( H_1: p \neq 0.80 \)2. Option B: - \( H_0: p = 0.80 \) - \( H_1: p < 0.80 \)3. Option C: - \( H_0: p = 0.20 \) - \( H_1: p \neq 0.20 \)4. Option D: - \( H_0: p = 0.80 \) - \( H_1: p > 0.80 \)5. Option E: - \( H_0: p = 0.20 \) - \( H_1: p > 0.20 \)6. Option F: - \( H_0: p = 0.20 \) - \( H_1: p < 0.20 \)**Test Statistic:**- Compute the test statistic \( z \) (Round to two decimal places).**P-value:**- Calculate the P-value (Round to four decimal places).**Conclusion:**- Determine whether there is sufficient evidence to support the claim that polygraph results are correct less than 80% of the time.- Conclusion Statement: - \( \Box \) \( H_0 \): There ___ sufficient evidence to support the claim.This setup will guide students in understanding how to apply hypothesis testing to determine the reliability of polygraph results, using a significance level to assess statistical evidence.

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From the given information, let X be the number of correct polygraph results. X = 76. Total number…

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Trials in an experiment with a polygraph include 99 results that include 23 cases of wrong results and 76 cases of correct results. Use a 0.01 significance level to test the claim that such polygraph results are correct less than 80% of the time. Identify the null hypothesis, alternative hypothesis, test statistic, P-value, conclusion about the null hypothesis, and final conclusion that addresses the original claim. Use the P-value method. Use the normal distribution as an approximation, of the binomial distribution. Let p be the population proportion of correct polygraph results. Identify the null and alternative hypotheses. Choose the correct answer below. O A. Ho p=0.80 O B. Ho: p= 0.80 H,: p#0.80 H,: p<0.80 OC. Ho: p= 0.20 H,: p>0.20 O D. Ho: p=0.80 H,: p> 0.80 O E. Ho: p=0.20 H,: p#0.20 OF. H,: p= 0.20 H,: p<0.20 The test statistic is z=. (Round to two decimal places as needed.) The P-value is . (Round to four decimal places as needed.) Identify the conclusion about the null hypothesis and the final conclusion that addresses the original claim. V Ho. There V sufficient evidence to support the claim that the polygraph results are correct less than 80% of the time.

Trials in an experiment with a polygraph include 99 results that include 23 cases of wrong results and 76 cases of correct results. Use a 0.01 significance level to test the claim that such polygraph results are correct less than 80% of the time. Identify the null hypothesis, alternative hypothesis, test statistic, P-value, conclusion about the null hypothesis, and final conclusion that addresses the original claim. Use the P-value method. Use the normal distribution as an approximation, of the binomial distribution. Let p be the population proportion of correct polygraph results. Identify the null and alternative hypotheses. Choose the correct answer below. O A. Ho p=0.80 O B. Ho: p= 0.80 H,: p#0.80 H,: p<0.80 OC. Ho: p= 0.20 H,: p>0.20 O D. Ho: p=0.80 H,: p> 0.80 O E. Ho: p=0.20 H,: p#0.20 OF. H,: p= 0.20 H,: p<0.20 The test statistic is z=. (Round to two decimal places as needed.) The P-value is . (Round to four decimal places as needed.) Identify the conclusion about the null hypothesis and the final conclusion that addresses the original claim. V Ho. There V sufficient evidence to support the claim that the polygraph results are correct less than 80% of the time.

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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