MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN: 9781119256830
Author: Amos Gilat
Publisher: John Wiley & Sons Inc
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### 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
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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
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