how do i find the p-value? ### Hypothesis Testing Example**Problem Statement:**An independent random sample is selected from an approximately normal population with an unknown standard deviation. Find the p-value if \( n = 5 \) and \( T = -0.96 \). Assume you are doing a two-tailed test.**Step 1: Determine the p-value**p-value: [__________]**Step 2: Decision Making Based on the Null Hypothesis**What decision do we make with the null hypothesis at \( \alpha = 0.05 \)?**Choices:**- [ ] Reject \( H_0 \)- [ ] Fail to reject \( H_0 \)**Explanation of Terms:**- **n:** The sample size, which is 5.- **T:** The test statistic, which is -0.96.- **p-value:** A measure of the evidence against the null hypothesis. The smaller the p-value, the stronger the evidence to reject the null hypothesis.- **\(\alpha = 0.05\):** The significance level, which represents the probability of rejecting the null hypothesis when it is actually true.**Decision Rule:**- If the p-value is less than \(\alpha\), we reject the null hypothesis (\( H_0 \)).- If the p-value is greater than or equal to \(\alpha\), we fail to reject the null hypothesis (\( H_0 \)).This exercise helps in understanding how to conduct a hypothesis test for a sample from an approximately normal population with an unknown standard deviation, using a t-distribution.**Note:** There are no graphs or diagrams provided in this image that need detailed explanation.

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An independent random sample is selected from an approximately normal population with an unknown standard deviation. Find the p-value if n = 5 and T = -0.96. Assume you are doing a two-tailed test. p-value: What decision do we make with the null hypothesis at a = 0.05? p-value: O Reject H O Fail to reject H

An independent random sample is selected from an approximately normal population with an unknown standard deviation. Find the p-value if n = 5 and T = -0.96. Assume you are doing a two-tailed test. p-value: What decision do we make with the null hypothesis at a = 0.05? p-value: O Reject H O Fail to reject H

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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