Use the given statement to represent a claim. Write its complement and state which is H, and which is Ha. p>0.28 Find the complement of the claim. 0.28 Which is Ho and which is H,? О А. Но: р> 0.28 О в. Но: р<0.28 Ос. Но: рso.28 Ha:p>0.28 Ha: p20.28 Ha:p>0.28 O D. Ho: p#0.28 Ha:p>0.28 ОЕ. Но: р> 0.28 OF. Ho: p20.28 Hgip>0.28 Hg: ps0.28 O G. Ho: p>0.28 Ha:p>0.28 Он. Но: р> 0.28 Hg:p<0.28 O. Ho: p>0.28 Ha: p+0.28
Use the given statement to represent a claim. Write its complement and state which is H, and which is Ha. p>0.28 Find the complement of the claim. 0.28 Which is Ho and which is H,? О А. Но: р> 0.28 О в. Но: р<0.28 Ос. Но: рso.28 Ha:p>0.28 Ha: p20.28 Ha:p>0.28 O D. Ho: p#0.28 Ha:p>0.28 ОЕ. Но: р> 0.28 OF. Ho: p20.28 Hgip>0.28 Hg: ps0.28 O G. Ho: p>0.28 Ha:p>0.28 Он. Но: р> 0.28 Hg:p<0.28 O. Ho: p>0.28 Ha: p+0.28
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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![**Understanding Hypothesis Testing: Claims and Complements**
In hypothesis testing, you often start with a specific claim and then determine its complement, known as the null and alternative hypotheses. Here’s an example to help illustrate this concept.
**Given Claim:**
\[
p > 0.28
\]
**Task:**
1. Find the complement of the claim.
2. Identify which hypothesis is the null hypothesis \((H_0)\) and which is the alternative hypothesis \((H_a)\).
**Complement of the Claim:**
The complement of the given claim \(p > 0.28\) is:
\[
p \leq 0.28
\]
**Select \(H_0\) and \(H_a\):**
You need to determine the null hypothesis \((H_0)\) and the alternative hypothesis \((H_a)\) from the given options. Remember, the null hypothesis typically signifies “no effect” or “no change,” and is the statement being tested. The alternative hypothesis is what you might believe to be true or hope to prove.
### Options:
- **A.**
- \(H_0: p > 0.28\)
- \(H_a: p \leq 0.28\)
- **B.**
- \(H_0: p < 0.28\)
- \(H_a: p > 0.28\)
- **C.**
- \(H_0: p \leq 0.28\)
- \(H_a: p > 0.28\)
- **D.**
- \(H_0: p \neq 0.28\)
- \(H_a: p > 0.28\)
- **E.**
- \(H_0: p > 0.28\)
- \(H_a: p \leq 0.28\)
- **F.**
- \(H_0: p \geq 0.28\)
- \(H_a: p > 0.28\)
- **G.**
- \(H_0: p > 0.28\)
- \(H_a: p > 0.28\)
- **H.**
- \(H_0: p > 0.28\)
- \(H_a: p](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fda6faddd-a84f-4d8b-94b7-6f2c3fcecfb0%2F41f48bea-b015-435a-9dcf-4f282ba736ea%2Fil3qgcl_processed.png&w=3840&q=75)
Transcribed Image Text:**Understanding Hypothesis Testing: Claims and Complements**
In hypothesis testing, you often start with a specific claim and then determine its complement, known as the null and alternative hypotheses. Here’s an example to help illustrate this concept.
**Given Claim:**
\[
p > 0.28
\]
**Task:**
1. Find the complement of the claim.
2. Identify which hypothesis is the null hypothesis \((H_0)\) and which is the alternative hypothesis \((H_a)\).
**Complement of the Claim:**
The complement of the given claim \(p > 0.28\) is:
\[
p \leq 0.28
\]
**Select \(H_0\) and \(H_a\):**
You need to determine the null hypothesis \((H_0)\) and the alternative hypothesis \((H_a)\) from the given options. Remember, the null hypothesis typically signifies “no effect” or “no change,” and is the statement being tested. The alternative hypothesis is what you might believe to be true or hope to prove.
### Options:
- **A.**
- \(H_0: p > 0.28\)
- \(H_a: p \leq 0.28\)
- **B.**
- \(H_0: p < 0.28\)
- \(H_a: p > 0.28\)
- **C.**
- \(H_0: p \leq 0.28\)
- \(H_a: p > 0.28\)
- **D.**
- \(H_0: p \neq 0.28\)
- \(H_a: p > 0.28\)
- **E.**
- \(H_0: p > 0.28\)
- \(H_a: p \leq 0.28\)
- **F.**
- \(H_0: p \geq 0.28\)
- \(H_a: p > 0.28\)
- **G.**
- \(H_0: p > 0.28\)
- \(H_a: p > 0.28\)
- **H.**
- \(H_0: p > 0.28\)
- \(H_a: p
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