The US Department of Energy reported that 46% of homes were heated by natural gas. A random sample of 329 homes in Oregon found that 180 were heated by natural gas. Test the claim that proportion of...

The US Department of Energy reported that 46% of homes were heated by natural gas. A random sample of 329 homes in Oregon found that 180 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 10% significance level. Give answer to at least 4 decimal places.

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

H₀:


H₁:

Based on the hypotheses, compute the following:


Test Statistic =