se the given statement to represent a claim. Write its complement and state which is Ho and which is Ha. o #14 nd the complement of the claim. 0 14 hich is Ho and which is Ha? A. Ho: 014 H₂:0=14 OD. Ho: 014 H₂: os 14 OG. Ho: <14 H₂: 014 OB. Ho: 014 H₂: o> 14 O E. Ho: 0=14 H₂: σ#14 OH. Ho: 014 H₂: <14 OC. Ho: os 14 Ha: 014 OF. Ho: 0214 Ha: 014 OI. Ho: 014 H₂: 0214
se the given statement to represent a claim. Write its complement and state which is Ho and which is Ha. o #14 nd the complement of the claim. 0 14 hich is Ho and which is Ha? A. Ho: 014 H₂:0=14 OD. Ho: 014 H₂: os 14 OG. Ho: <14 H₂: 014 OB. Ho: 014 H₂: o> 14 O E. Ho: 0=14 H₂: σ#14 OH. Ho: 014 H₂: <14 OC. Ho: os 14 Ha: 014 OF. Ho: 0214 Ha: 014 OI. Ho: 014 H₂: 0214
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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![### Representing and Complementing Claims in Hypothesis Testing
#### Original Claim:
The given statement to represent a claim is:
\[ \sigma \neq 14 \]
#### Task:
Find the complement of the claim, and state which is the null hypothesis (\( H_0 \)) and which is the alternative hypothesis (\( H_a \)).
#### Complement of the Claim:
The user is prompted to choose the complement of the claim by selecting the appropriate inequality:
\[ \sigma \, [\text{Dropdown}] \, 14 \]
#### Choices for \( H_0 \) and \( H_a \):
The user needs to determine which of the following statements represent the null hypothesis (\( H_0 \)) and the alternative hypothesis (\( H_a \)):
A.
\[ H_0: \sigma \neq 14 \]
\[ H_a: \sigma = 14 \]
B.
\[ H_0: \sigma \neq 14 \]
\[ H_a: \sigma > 14 \]
C.
\[ H_0: \sigma \leq 14 \]
\[ H_a: \sigma \neq 14 \]
D.
\[ H_0: \sigma \neq 14 \]
\[ H_a: \sigma \leq 14 \]
E.
\[ H_0: \sigma = 14 \]
\[ H_a: \sigma \neq 14 \]
F.
\[ H_0: \sigma \geq 14 \]
\[ H_a: \sigma \neq 14 \]
G.
\[ H_0: \sigma < 14 \]
\[ H_a: \sigma \neq 14 \]
H.
\[ H_0: \sigma \neq 14 \]
\[ H_a: \sigma < 14 \]
I.
\[ H_0: \sigma \neq 14 \]
\[ H_a: \sigma \geq 14 \]
In this case, the correct pair that forms a valid null hypothesis (\( H_0 \)) and alternative hypothesis (\( H_a \)) should be identified by carefully assessing the complement of the original claim and its logical opposite relationship.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fbe21ad11-6e18-4b63-a679-8109648f0f0b%2F580064f9-c6b4-4a30-aaae-b76a0add81cc%2Fm1uf8x_processed.png&w=3840&q=75)
Transcribed Image Text:### Representing and Complementing Claims in Hypothesis Testing
#### Original Claim:
The given statement to represent a claim is:
\[ \sigma \neq 14 \]
#### Task:
Find the complement of the claim, and state which is the null hypothesis (\( H_0 \)) and which is the alternative hypothesis (\( H_a \)).
#### Complement of the Claim:
The user is prompted to choose the complement of the claim by selecting the appropriate inequality:
\[ \sigma \, [\text{Dropdown}] \, 14 \]
#### Choices for \( H_0 \) and \( H_a \):
The user needs to determine which of the following statements represent the null hypothesis (\( H_0 \)) and the alternative hypothesis (\( H_a \)):
A.
\[ H_0: \sigma \neq 14 \]
\[ H_a: \sigma = 14 \]
B.
\[ H_0: \sigma \neq 14 \]
\[ H_a: \sigma > 14 \]
C.
\[ H_0: \sigma \leq 14 \]
\[ H_a: \sigma \neq 14 \]
D.
\[ H_0: \sigma \neq 14 \]
\[ H_a: \sigma \leq 14 \]
E.
\[ H_0: \sigma = 14 \]
\[ H_a: \sigma \neq 14 \]
F.
\[ H_0: \sigma \geq 14 \]
\[ H_a: \sigma \neq 14 \]
G.
\[ H_0: \sigma < 14 \]
\[ H_a: \sigma \neq 14 \]
H.
\[ H_0: \sigma \neq 14 \]
\[ H_a: \sigma < 14 \]
I.
\[ H_0: \sigma \neq 14 \]
\[ H_a: \sigma \geq 14 \]
In this case, the correct pair that forms a valid null hypothesis (\( H_0 \)) and alternative hypothesis (\( H_a \)) should be identified by carefully assessing the complement of the original claim and its logical opposite relationship.
![### Hypothesis Testing Complement Concepts
**Use the given statement to represent the null hypothesis:**
\[ \sigma \neq 14 \]
**Problem:**
Find the complement of the claim expressed as:
\[ \sigma \quad \text{(Dropdown)} \quad 14 \]
Which answer represents the alternative hypothesis, denoted as \( H_a \)?
**Options:**
- A. \( < \)
- D. \( > \)
- \( \neq \)
- \( = \)
- \( \geq \)
- \( \leq \)
**Explanation:**
In the context of hypothesis testing, the claim given is \( \sigma \neq 14 \). To find the complement of this claim:
- The null hypothesis (\( H_0 \)) typically states no effect or no difference.
- The alternative hypothesis (\( H_a \)) reflects what we are testing for and is the complement of \( H_0 \).
In this multiple-choice problem, you need to select the correct relational operator (\(<\), \(>\), \(\neq\), \(=\), \(\geq\), \(\leq\)) to form a true complementary statement to \( \sigma \neq 14 \).](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fbe21ad11-6e18-4b63-a679-8109648f0f0b%2F580064f9-c6b4-4a30-aaae-b76a0add81cc%2Fossv8s_processed.png&w=3840&q=75)
Transcribed Image Text:### Hypothesis Testing Complement Concepts
**Use the given statement to represent the null hypothesis:**
\[ \sigma \neq 14 \]
**Problem:**
Find the complement of the claim expressed as:
\[ \sigma \quad \text{(Dropdown)} \quad 14 \]
Which answer represents the alternative hypothesis, denoted as \( H_a \)?
**Options:**
- A. \( < \)
- D. \( > \)
- \( \neq \)
- \( = \)
- \( \geq \)
- \( \leq \)
**Explanation:**
In the context of hypothesis testing, the claim given is \( \sigma \neq 14 \). To find the complement of this claim:
- The null hypothesis (\( H_0 \)) typically states no effect or no difference.
- The alternative hypothesis (\( H_a \)) reflects what we are testing for and is the complement of \( H_0 \).
In this multiple-choice problem, you need to select the correct relational operator (\(<\), \(>\), \(\neq\), \(=\), \(\geq\), \(\leq\)) to form a true complementary statement to \( \sigma \neq 14 \).
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