Below is a histogram showing the distribution of P sim in 10,000 simulations under the null hypothesis. Estimate the p-value; that is, approximate the proportion of the simulated results that are as extreme as or more extreme than the observed result. 0.15 0.10 0.05 0.4 0.6 0.8 1.0 0.135 O 0.27 0.73 0.865

MATLAB: An Introduction with Applications
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Author:Amos Gilat
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Below is a histogram showing the distribution of \(\hat{p}_{\text{sim}}\) in 10,000 simulations under the null hypothesis. Estimate the p-value; that is, approximate the proportion of the simulated results that are as extreme as or more extreme than the observed result.

**Histogram Explanation:**

- Horizontal axis: \(\hat{p}_{\text{sim}}\) values ranging from 0.4 to 1.0.
- Vertical axis: Frequency of simulated results, with proportions reaching up to 0.15.
- The histogram shows a roughly symmetric distribution centered around 0.6, with most values falling between 0.5 and 0.8.

**Choices for the p-value:**

- 0.135
- 0.27 (Highlighted)
- 0.73
- 0.865
Transcribed Image Text:Below is a histogram showing the distribution of \(\hat{p}_{\text{sim}}\) in 10,000 simulations under the null hypothesis. Estimate the p-value; that is, approximate the proportion of the simulated results that are as extreme as or more extreme than the observed result. **Histogram Explanation:** - Horizontal axis: \(\hat{p}_{\text{sim}}\) values ranging from 0.4 to 1.0. - Vertical axis: Frequency of simulated results, with proportions reaching up to 0.15. - The histogram shows a roughly symmetric distribution centered around 0.6, with most values falling between 0.5 and 0.8. **Choices for the p-value:** - 0.135 - 0.27 (Highlighted) - 0.73 - 0.865
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