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(d) Conduct a hypothesis test using a = 0.05. Calculate the test statistic. (Round your answer to three decimal places.) 2.23606 Calculate the p-value. (Round your answer to four decimal places.) p-value = 4472 What is your conclusion?

(d) Conduct a hypothesis test using a = 0.05. Calculate the test statistic. (Round your answer to three decimal places.) 2.23606 Calculate the p-value. (Round your answer to four decimal places.) p-value = 4472 What is your conclusion?

MATLAB: An Introduction with Applications
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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Part d please! 

# Hypothesis Testing ## Consider the following hypothesis test: - \( H_0: \mu_d \leq 0 \) - \( H_a: \mu_d > 0 \) ### (a) The following data are from matched samples taken from two populations. Compute the difference value for each element. (Use Population 1 – Population 2.) | Element | Population 1 | Population 2 | Difference | |---------|--------------|--------------|------------| | 1 | 21 | 21 | 0 | | 2 | 28 | 26 | 2 | | 3 | 18 | 17 | 1 | | 4 | 20 | 18 | 2 | | 5 | 26 | 26 | 0 | Each row in the table represents a different element, showing its value in two populations and the derived difference. ### (b) Compute \(\bar{d}\). \(\bar{d} = 1\) ✔ ### (c) Compute the standard deviation \(s_d\). \(s_d = 1\) ✔ ### (d) Conduct a hypothesis test using \(\alpha = 0.05\). 1. **Calculate the test statistic.** (Round your answer to three decimal places.) - Test statistic: \(2.236066\) 2. **Calculate the p-value.** (Round your answer to four decimal places.) - p-value: \(0.4472\) ✘ ### What is your conclusion? The p-value should be interpreted to determine whether to reject the null hypothesis given the significance level (\(\alpha = 0.05\)).
Transcribed Image Text:# Hypothesis Testing ## Consider the following hypothesis test: - \( H_0: \mu_d \leq 0 \) - \( H_a: \mu_d > 0 \) ### (a) The following data are from matched samples taken from two populations. Compute the difference value for each element. (Use Population 1 – Population 2.) | Element | Population 1 | Population 2 | Difference | |---------|--------------|--------------|------------| | 1 | 21 | 21 | 0 | | 2 | 28 | 26 | 2 | | 3 | 18 | 17 | 1 | | 4 | 20 | 18 | 2 | | 5 | 26 | 26 | 0 | Each row in the table represents a different element, showing its value in two populations and the derived difference. ### (b) Compute \(\bar{d}\). \(\bar{d} = 1\) ✔ ### (c) Compute the standard deviation \(s_d\). \(s_d = 1\) ✔ ### (d) Conduct a hypothesis test using \(\alpha = 0.05\). 1. **Calculate the test statistic.** (Round your answer to three decimal places.) - Test statistic: \(2.236066\) 2. **Calculate the p-value.** (Round your answer to four decimal places.) - p-value: \(0.4472\) ✘ ### What is your conclusion? The p-value should be interpreted to determine whether to reject the null hypothesis given the significance level (\(\alpha = 0.05\)).
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