**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

Answered: Trials in an experiment with a…

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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