**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.---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.

Givensample proportion(p^)=56.0%=0.56sample size(n)=3200significance level(α)=0.05

Answered: According to a study in a previous…

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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