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2. Compute the value of the test statistic for each test using the information given by testing: a. Ho : p=0.72 vs. H. : p < 0.72 n = 2100, p = 0.71 b. Ho : p= 0.83 vs. H. : p + 0.83, n= 500, § = 0.86 c. Ho : p= 0.22 vs. Ha : p < 0.22n=750, § = 0.18 %3D !! %3D

2. Compute the value of the test statistic for each test using the information given by testing: a. Ho : p=0.72 vs. H. : p < 0.72 n = 2100, p = 0.71 b. Ho : p= 0.83 vs. H. : p + 0.83, n= 500, § = 0.86 c. Ho : p= 0.22 vs. Ha : p < 0.22n=750, § = 0.18 %3D !! %3D

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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### Statistical Exercises for Hypothesis Testing 1. **Exercise 1: Hypothesis Testing** Determine whether to reject the null hypothesis (\(H_0\)) or not, given: a. \(H_0 : p = 0.48\) vs. \(H_a : p > 0.48, n = 600, \hat{p} = 0.51\) b. \(H_0 : p = 0.62\) vs. \(H_a : p \neq 0.62, n = 700, \hat{p} = 0.64\) c. \(H_0 : p = 0.37\) vs. \(H_a : p < 0.37, n = 1200, \hat{p} = 0.35\) 2. **Exercise 2: Calculating Test Statistics** Compute the value of the test statistic for each hypothesis test using the provided data: a. \(H_0 : p = 0.72\) vs. \(H_a : p < 0.72, n = 2100, \hat{p} = 0.71\) b. \(H_0 : p = 0.83\) vs. \(H_a : p \neq 0.83, n = 500, \hat{p} = 0.86\) c. \(H_0 : p = 0.22\) vs. \(H_a : p < 0.22, n = 750, \hat{p} = 0.18\) 3. For each part of Exercise 1, construct the rejection region for the test at \(\alpha = 0.05\) and make the decision based on your answer to that part of the exercise. 4. For each part of Exercise 2, construct the rejection region for the test at \(\alpha = 0.05\) and make the decision based on your answer to that part of the exercise.
Transcribed Image Text:### Statistical Exercises for Hypothesis Testing 1. **Exercise 1: Hypothesis Testing** Determine whether to reject the null hypothesis (\(H_0\)) or not, given: a. \(H_0 : p = 0.48\) vs. \(H_a : p > 0.48, n = 600, \hat{p} = 0.51\) b. \(H_0 : p = 0.62\) vs. \(H_a : p \neq 0.62, n = 700, \hat{p} = 0.64\) c. \(H_0 : p = 0.37\) vs. \(H_a : p < 0.37, n = 1200, \hat{p} = 0.35\) 2. **Exercise 2: Calculating Test Statistics** Compute the value of the test statistic for each hypothesis test using the provided data: a. \(H_0 : p = 0.72\) vs. \(H_a : p < 0.72, n = 2100, \hat{p} = 0.71\) b. \(H_0 : p = 0.83\) vs. \(H_a : p \neq 0.83, n = 500, \hat{p} = 0.86\) c. \(H_0 : p = 0.22\) vs. \(H_a : p < 0.22, n = 750, \hat{p} = 0.18\) 3. For each part of Exercise 1, construct the rejection region for the test at \(\alpha = 0.05\) and make the decision based on your answer to that part of the exercise. 4. For each part of Exercise 2, construct the rejection region for the test at \(\alpha = 0.05\) and make the decision based on your answer to that part of the exercise.
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