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Natural Gas Heat The Energy Information Administration
Chapter 8, Problem 14(choose chapter or problem)
Natural Gas Heat The Energy Information Administration reported that 51.7% of homes in the United States were heated by natural gas. A random sample of 200 homes found that 115 were heated by natural gas. Does the evidence support the claim, or has the percentage changed? Use \(\alpha=0.05\) and the P-value method. What could be different if the sample were taken in a different geographic area?
Questions & Answers
QUESTION:
Natural Gas Heat The Energy Information Administration reported that 51.7% of homes in the United States were heated by natural gas. A random sample of 200 homes found that 115 were heated by natural gas. Does the evidence support the claim, or has the percentage changed? Use \(\alpha=0.05\) and the P-value method. What could be different if the sample were taken in a different geographic area?
ANSWER:Step 1 of 4
\(\begin{array}{l}
n=200 \\
X=115
\end{array}\)
Significance level \(\alpha=0.05\)
Denote appropriate null and alternative hypothesis from the claim given in the exercise:
\(\begin{array}{l}
H_{0}: p=0.517 \text { (claim) }\\
H_{1}: p \neq 0.517
\end{array}\)