The US Department of Energy reported that 52% of homes in the USA were heated by natural gas. A random sample of 346homes in Oregon found that 144were heated by natural gas. Test the claim that proportion of homes in Oregon that were heated by natural gas is different from the US reported proportion. Use a 5% significance level. Give answers accurate to at least 3 decimal places.

What are the correct hypotheses? (Select the correct symbols and use decimal values not percentages.)

H₀:Select an answersxspp?><=

H₁:Select an answerxspps?>=<

Based on the hypotheses, find the following:

Test Statistic =

p-value =

Based on the above we choose toSelect an answerReject the null hypothesisAccept the null hypothesisAccept the alternative hypotheisFail to reject the null hypothesis

The correct summary would be:Select an answerThere is enough evidence to reject the claimThere is enough evidence to support the claimThere is not enough evidence to reject the claimThere is not enough evidence to support the claimthat the percent of homes in Oregon heated by natural gas is different than 52%.