Trials in an experiment with a polygraph include 96 results that include 23 cases of wrong results and 73 cases of correct results. Use a 0.05 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 H;: p<0.80 O B. Ho: p= 0.20 H: p#0.20 OD. Ho: p= 0.20 OC. Ho: p=0.80 H;: p#0.80 H;: p>0.20 O E. Ho: p=0.20 H;: p<0.20 OF. Ho: p= 0.80 H;: p>0.80 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. Ho. There 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 96 results that include 23 cases of wrong results and 73 cases of correct results. Use a 0.05 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 H;: p<0.80 O B. Ho: p= 0.20 H: p#0.20 OD. Ho: p= 0.20 OC. Ho: p=0.80 H;: p#0.80 H;: p>0.20 O E. Ho: p=0.20 H;: p<0.20 OF. Ho: p= 0.80 H;: p>0.80 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. Ho. There 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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![**Polygraph Experiment Analysis**
In a polygraph experiment, there were 96 results consisting of 23 wrong results and 73 correct results. To test the claim that polygraph results are correct less than 80% of the time, a significance level of 0.05 is applied. The normal distribution is used as an approximation for the binomial distribution. Follow these steps to analyze the data:
1. **Hypotheses Identification:**
Let \( p \) be the population proportion of correct polygraph results. Identify the null and alternative hypotheses:
- **Option A:**
- Null Hypothesis (\( H_0 \)): \( p = 0.80 \)
- Alternative Hypothesis (\( H_1 \)): \( p < 0.80 \)
- **Option B:**
- \( H_0 \): \( p = 0.20 \)
- \( H_1 \): \( p \neq 0.20 \)
- **Option C:**
- \( H_0 \): \( p = 0.80 \)
- \( H_1 \): \( p \neq 0.80 \)
- **Option D:**
- \( H_0 \): \( p = 0.20 \)
- \( H_1 \): \( p > 0.20 \)
- **Option E:**
- \( H_0 \): \( p = 0.20 \)
- \( H_1 \): \( p < 0.20 \)
- **Option F:**
- \( H_0 \): \( p = 0.80 \)
- \( H_1 \): \( p > 0.80 \)
2. **Statistical Analysis:**
- Calculate the test statistic \( z \) (Round to two decimal places as needed).
- Determine the P-value (Round to four decimal places as needed).
3. **Conclusion:**
- Based on the P-value, determine whether there is sufficient evidence to reject the null hypothesis.
- Conclude if there is enough evidence to support the claim that polygraph results are correct less than 80% of the time.
**Template for Conclusion:**
- There is [sufficient/insufficient] evidence to support the claim that the polygraph results are correct less than 80% of the](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fa951095b-8fe2-4ec9-81e0-5c7669f4ee38%2F09b01a7e-2b2b-460b-9612-ae0995fd1391%2F4zcqgk_processed.jpeg&w=3840&q=75)
Transcribed Image Text:**Polygraph Experiment Analysis**
In a polygraph experiment, there were 96 results consisting of 23 wrong results and 73 correct results. To test the claim that polygraph results are correct less than 80% of the time, a significance level of 0.05 is applied. The normal distribution is used as an approximation for the binomial distribution. Follow these steps to analyze the data:
1. **Hypotheses Identification:**
Let \( p \) be the population proportion of correct polygraph results. Identify the null and alternative hypotheses:
- **Option A:**
- Null Hypothesis (\( H_0 \)): \( p = 0.80 \)
- Alternative Hypothesis (\( H_1 \)): \( p < 0.80 \)
- **Option B:**
- \( H_0 \): \( p = 0.20 \)
- \( H_1 \): \( p \neq 0.20 \)
- **Option C:**
- \( H_0 \): \( p = 0.80 \)
- \( H_1 \): \( p \neq 0.80 \)
- **Option D:**
- \( H_0 \): \( p = 0.20 \)
- \( H_1 \): \( p > 0.20 \)
- **Option E:**
- \( H_0 \): \( p = 0.20 \)
- \( H_1 \): \( p < 0.20 \)
- **Option F:**
- \( H_0 \): \( p = 0.80 \)
- \( H_1 \): \( p > 0.80 \)
2. **Statistical Analysis:**
- Calculate the test statistic \( z \) (Round to two decimal places as needed).
- Determine the P-value (Round to four decimal places as needed).
3. **Conclusion:**
- Based on the P-value, determine whether there is sufficient evidence to reject the null hypothesis.
- Conclude if there is enough evidence to support the claim that polygraph results are correct less than 80% of the time.
**Template for Conclusion:**
- There is [sufficient/insufficient] evidence to support the claim that the polygraph results are correct less than 80% of the
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