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Suppose you perform the hypothesis test Ho: u = 25 versus H1: µ 25. The population variance, o?, is known. The sample size is n = 53. Assume the significance level is 0.01. Part 1: 1) Should you use z or t to find the critical value? Ot O z Part 2 of 4 Part 2: 2) Choose the correct critical region. O Reject Ho if z > za O Reject Ho if z < – zg Reject Ho if z > za O Reject Ho if z< - zg Reject Ho if z > zg Reject Ho if z < - za or z > %a O Reject Ho if z > za Reject Ho if z < Za or z > Za | O Reject Ho if z < O Reject Ho if z < – zg or z > zg - Za Reject Ho if z < - Za Reject Ho if z< or z 2 z

Suppose you perform the hypothesis test Ho: u = 25 versus H1: µ 25. The population variance, o?, is known. The sample size is n = 53. Assume the significance level is 0.01. Part 1: 1) Should you use z or t to find the critical value? Ot O z Part 2 of 4 Part 2: 2) Choose the correct critical region. O Reject Ho if z > za O Reject Ho if z < – zg Reject Ho if z > za O Reject Ho if z< - zg Reject Ho if z > zg Reject Ho if z < - za or z > %a O Reject Ho if z > za Reject Ho if z < Za or z > Za | O Reject Ho if z < O Reject Ho if z < – zg or z > zg - Za Reject Ho if z < - Za Reject Ho if z< or z 2 z

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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## Hypothesis Testing Guide ### Context Suppose you perform the hypothesis test \( H_0: \mu = 25 \) versus \( H_1: \mu \neq 25 \). The population variance, \( \sigma^2 \), is known. The sample size is \( n = 53 \). Assume the significance level is 0.01. ### Part 1: Choosing the Test 1) **Should you use \( z \) or \( t \) to find the critical value?** - **Answer**: \( z \) When the population variance is known, and the sample size is large (\( n > 30 \)), the \( z \)-test is appropriate. ### Part 2: Identifying the Critical Region 2) **Choose the correct critical region.** **Options**: - Reject \( H_0 \) if \( z > z_\alpha \) - Reject \( H_0 \) if \( z \geq z_\alpha \) - Reject \( H_0 \) if \( z > \frac{z_\alpha}{2} \) - Reject \( H_0 \) if \( z \geq \frac{z_\alpha}{2} \) - Reject \( H_0 \) if \( z < -z_\alpha \) - Reject \( H_0 \) if \( z \leq -z_\alpha \) - Reject \( H_0 \) if \( z < -\frac{z_\alpha}{2} \) - Reject \( H_0 \) if \( z \leq \frac{z_\alpha}{2} \) - Reject \( H_0 \) if \( z < -z_\alpha \) or \( z > z_\alpha \) - Reject \( H_0 \) if \( z \leq -z_\alpha \) or \( z \geq z_\alpha \) - Reject \( H_0 \) if \( z < -\frac{z_\alpha}{2} \) or \( z > \frac{z_\alpha}{2} \) - Reject \( H_0 \) if \( z \leq -\frac{z_\alpha}{2} \) or \( z \geq \frac{z_\alpha}{2} \) In a two-tailed test with significance level \( \alpha = 0.01
Transcribed Image Text:## Hypothesis Testing Guide ### Context Suppose you perform the hypothesis test \( H_0: \mu = 25 \) versus \( H_1: \mu \neq 25 \). The population variance, \( \sigma^2 \), is known. The sample size is \( n = 53 \). Assume the significance level is 0.01. ### Part 1: Choosing the Test 1) **Should you use \( z \) or \( t \) to find the critical value?** - **Answer**: \( z \) When the population variance is known, and the sample size is large (\( n > 30 \)), the \( z \)-test is appropriate. ### Part 2: Identifying the Critical Region 2) **Choose the correct critical region.** **Options**: - Reject \( H_0 \) if \( z > z_\alpha \) - Reject \( H_0 \) if \( z \geq z_\alpha \) - Reject \( H_0 \) if \( z > \frac{z_\alpha}{2} \) - Reject \( H_0 \) if \( z \geq \frac{z_\alpha}{2} \) - Reject \( H_0 \) if \( z < -z_\alpha \) - Reject \( H_0 \) if \( z \leq -z_\alpha \) - Reject \( H_0 \) if \( z < -\frac{z_\alpha}{2} \) - Reject \( H_0 \) if \( z \leq \frac{z_\alpha}{2} \) - Reject \( H_0 \) if \( z < -z_\alpha \) or \( z > z_\alpha \) - Reject \( H_0 \) if \( z \leq -z_\alpha \) or \( z \geq z_\alpha \) - Reject \( H_0 \) if \( z < -\frac{z_\alpha}{2} \) or \( z > \frac{z_\alpha}{2} \) - Reject \( H_0 \) if \( z \leq -\frac{z_\alpha}{2} \) or \( z \geq \frac{z_\alpha}{2} \) In a two-tailed test with significance level \( \alpha = 0.01
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