Write the claim as a mathematical statement. Ο Α. μ = 17,000 O D. μ ≥ 17,000 Choose the correct null and alternative hypotheses below. O A. Ho: μ≤ 17,000 Ha: μ> 17,000 O D. Ho: μ< 17,000 H₂:μ ≥ 17,000 Identify which is the claim. O A. The alternative hypothesis Ha: μ> 17,000 is the claim O B. The alternative hypothesis Ha: μ# 17,000 is the claim. O C. The alternative hypothesis Ha: μ< 17,000 is the claim O D. The null hypothesis Ho: μ = 17,000 is the claim. O E. The null hypothesis Ho: μ ≥ 17,000 is the claim O F. The null hypothesis Ho: μ≤ 17,000 is the claim O B. μ# 17,000 Ο Ε. μ<17,000 O B. Ho: μ# 17,000 Ha: μ = 17,000 O E. Ho: μ= 17,000 Ha: μ# 17,000 Ο C. με17,000 OF. μ> 17,000 C. Ho: μ> 17,000 Ha: μ≤ 17,000 OF. Ho: μ ≥ 17,000 Ha: μ< 17,000

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
icon
Related questions
Question
### Writing Claims, Null, and Alternative Hypotheses in Hypothesis Testing

In hypothesis testing, it's crucial to state your claim and identify the null (H₀) and alternative (Hₐ) hypotheses correctly. Let's practice these steps with the example below.

#### Example Statement:
An amusement park claims that the mean daily attendance at the park is 17,000 people.

#### Steps to Follow:

1. **Write the Claim as a Mathematical Statement:**

Choose from the following options:

- **A.** µ = 17,000
- **B.** µ ≠ 17,000
- **C.** µ ≤ 17,000
- **D.** µ ≥ 17,000
- **E.** µ < 17,000
- **F.** µ > 17,000

Based on the given statement, the correct mathematical claim is:
- (**A**) µ = 17,000

2. **Choose the Correct Null and Alternative Hypotheses:**

Select the appropriate pair of hypotheses:

- **A.** 
  \[
  \begin{aligned}
  H_0 &: µ ≤ 17,000 \\
  H_a &: µ > 17,000 \\
  \end{aligned}
  \]

- **B.** 
  \[
  \begin{aligned}
  H_0 &: µ ≠ 17,000 \\
  H_a &: µ = 17,000 \\
  \end{aligned}
  \]

- **C.** 
  \[
  \begin{aligned}
  H_0 &: µ > 17,000 \\
  H_a &: µ ≤ 17,000 \\
  \end{aligned}
  \]

- **D.** 
  \[
  \begin{aligned}
  H_0 &: µ < 17,000 \\
  H_a &: µ = 17,000 \\
  \end{aligned}
  \]

- **E.** 
  \[
  \begin{aligned}
  H_0 &: µ = 17,000 \\
  H_a &: µ ≠ 17,000 \\
  \end{aligned}
  \]

- **F.** 
  \[
  \begin{aligned}
  H_0 &: µ ≥ 17,000 \\
  H_a &: µ < 17
Transcribed Image Text:### Writing Claims, Null, and Alternative Hypotheses in Hypothesis Testing In hypothesis testing, it's crucial to state your claim and identify the null (H₀) and alternative (Hₐ) hypotheses correctly. Let's practice these steps with the example below. #### Example Statement: An amusement park claims that the mean daily attendance at the park is 17,000 people. #### Steps to Follow: 1. **Write the Claim as a Mathematical Statement:** Choose from the following options: - **A.** µ = 17,000 - **B.** µ ≠ 17,000 - **C.** µ ≤ 17,000 - **D.** µ ≥ 17,000 - **E.** µ < 17,000 - **F.** µ > 17,000 Based on the given statement, the correct mathematical claim is: - (**A**) µ = 17,000 2. **Choose the Correct Null and Alternative Hypotheses:** Select the appropriate pair of hypotheses: - **A.** \[ \begin{aligned} H_0 &: µ ≤ 17,000 \\ H_a &: µ > 17,000 \\ \end{aligned} \] - **B.** \[ \begin{aligned} H_0 &: µ ≠ 17,000 \\ H_a &: µ = 17,000 \\ \end{aligned} \] - **C.** \[ \begin{aligned} H_0 &: µ > 17,000 \\ H_a &: µ ≤ 17,000 \\ \end{aligned} \] - **D.** \[ \begin{aligned} H_0 &: µ < 17,000 \\ H_a &: µ = 17,000 \\ \end{aligned} \] - **E.** \[ \begin{aligned} H_0 &: µ = 17,000 \\ H_a &: µ ≠ 17,000 \\ \end{aligned} \] - **F.** \[ \begin{aligned} H_0 &: µ ≥ 17,000 \\ H_a &: µ < 17
Expert Solution
steps

Step by step

Solved in 4 steps

Blurred answer
Similar questions
Recommended textbooks for you
MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
Probability and Statistics for Engineering and th…
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
Statistics for The Behavioral Sciences (MindTap C…
Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
Elementary Statistics: Picturing the World (7th E…
Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON
The Basic Practice of Statistics
The Basic Practice of Statistics
Statistics
ISBN:
9781319042578
Author:
David S. Moore, William I. Notz, Michael A. Fligner
Publisher:
W. H. Freeman
Introduction to the Practice of Statistics
Introduction to the Practice of Statistics
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman