What is the P value ? ### Experiment Description:In an experiment using a polygraph, 97 total trials were conducted. There were 24 incorrect results and 73 correct results. A 0.01 significance level is to be used to test the hypothesis that polygraph results are accurate less than 80% of the time. The task involves identifying the null and alternative hypotheses, calculating the test statistic, and using the P-value method to draw a conclusion.### Hypotheses:- **A.** - Null Hypothesis (H₀): p = 0.80 - Alternative Hypothesis (H₁): p < 0.80 - This option is selected (indicated by a check mark).- **B.** - H₀: p = 0.20 - H₁: p < 0.20 - **C.** - H₀: p = 0.20 - H₁: p > 0.20- **D.** - H₀: p = 0.80 - H₁: p > 0.80- **E.** - H₀: p = 0.80 - H₁: p ≠ 0.80- **F.** - H₀: p = 0.20 - H₁: p ≠ 0.20### Calculation:- The formula for the test statistic $ z $ is provided. There is a placeholder for the calculated value, which should be rounded to two decimal places as necessary.**Note:**Use the normal distribution as an approximation for the binomial distribution in your calculations.

Answered: Image /qna-images/answer/41c0a36c-e3be-4c9c-8695-b06c10acf005.jpg

Trials in an experiment with a polygraph include 97 results that include 24 cases of wrong results and 73 cases of correct results. Use a 0.01 significance level to test he 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 he 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. A. Ho: p= 0.80 H,: p<0.80 O B. Ho: p=0.20 H;: p<0.20 OC. Ho: p= 0.20 H;: p>0.20 O D. Ho: p=0.80 H;: p>0.80 O E. Ho: p= 0.80 OF. Ho: p= 0.20 H,: p+0.80 H,: p+0.20 The test statistic is z= (Round to two decimal places as needed.)

Trials in an experiment with a polygraph include 97 results that include 24 cases of wrong results and 73 cases of correct results. Use a 0.01 significance level to test he 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 he 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. A. Ho: p= 0.80 H,: p<0.80 O B. Ho: p=0.20 H;: p<0.20 OC. Ho: p= 0.20 H;: p>0.20 O D. Ho: p=0.80 H;: p>0.80 O E. Ho: p= 0.80 OF. Ho: p= 0.20 H,: p+0.80 H,: p+0.20 The test statistic is z= (Round to two decimal places as needed.)

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

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Concept explainers

Confidence Intervals

When we calculate intervals in probability and statistics, it can be simply termed as finding out a confidence interval. The confidence interval is usually calculated from the data set which is observed. The value of the parameter that needs to be calculated is present here only.

Question

100%

What is the P value ?

### Experiment Description:

In an experiment using a polygraph, 97 total trials were conducted. There were 24 incorrect results and 73 correct results. A 0.01 significance level is to be used to test the hypothesis that polygraph results are accurate less than 80% of the time. The task involves identifying the null and alternative hypotheses, calculating the test statistic, and using the P-value method to draw a conclusion.

### Hypotheses:

- **A.**
- Null Hypothesis (H₀): p = 0.80
- Alternative Hypothesis (H₁): p < 0.80
- This option is selected (indicated by a check mark).

- **B.**
- H₀: p = 0.20
- H₁: p < 0.20

- **C.**
- H₀: p = 0.20
- H₁: p > 0.20

- **D.**
- H₀: p = 0.80
- H₁: p > 0.80

- **E.**
- H₀: p = 0.80
- H₁: p ≠ 0.80

- **F.**
- H₀: p = 0.20
- H₁: p ≠ 0.20

### Calculation:

- The formula for the test statistic $ z $ is provided. There is a placeholder for the calculated value, which should be rounded to two decimal places as necessary.

**Note:**
Use the normal distribution as an approximation for the binomial distribution in your calculations.

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