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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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Question

**Hypothesis Testing: Natural Gas Usage Study**

According to a study in a previous year, 55.0% of households nationwide used natural gas for heating during a year. Recently, a survey of 3,200 randomly selected households showed that 56.0% used natural gas. Use a 0.05 significance level to test the claim that the 55.0% national rate has changed.

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Formulate the null and alternative hypotheses. Choose the correct answer below:

- **Option A**
- \(H_0: p = 0.55\)
- \(H_a: p < 0.55\)

- **Option B**
- \(H_0: p = 0.55\)
- \(H_a: p > 0.55\)

- **Option C**
- \(H_0: p \neq 0.55\)
- \(H_a: p = 0.55\)

- **Option D**
- \(H_0: p = 0.55\)
- \(H_a: p \neq 0.55\)

**Explanation:**

In this problem, we must determine whether the national rate of households using natural gas has changed from 55.0%. This involves formulating a hypothesis test with a significance level of 0.05.

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