Math  /  Data & Statistics

QuestionThe US Department of Energy reported that 49\% of homes were heated by natural gas. A random sample of 319 homes in Oregon found that 125 were heated by natural gas. Test the claim that proportion of homes in Oregon that were heated by natural gas is different than what was reported. Use a 5%5 \% significance level. What are the correct hypotheses? (Select the correct symbols and use decimal values not percentages.) H0\mathrm{H}_{0} : \square ? \square Ha\mathrm{H}_{\mathrm{a}} : Select an answer \square ? 0 \square

Studdy Solution
Define the alternative hypothesis (HaH_a):
The alternative hypothesis is that the proportion of homes in Oregon heated by natural gas is different from the national proportion. Therefore, we have:
Ha:p0.49 H_a: p \neq 0.49
The correct hypotheses are:
H0:p=0.49 H_0: p = 0.49 Ha:p0.49 H_a: p \neq 0.49

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