What are the correct hypotheses? (Select the correct symbols and use decimal values not percentages.) Based on the hypotheses, compute the following: Test Statistic =  p-value =

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The US Department of Energy reported that 48% of homes were heated by natural gas. A random sample of 336 homes in Oregon found that 142 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.)

Based on the hypotheses, compute the following:

Test Statistic = 

p-value = 

Expert Solution
Step 1

Let p denote the population proportion of homes in Oregon that were heated by natural gas. The US Department of Energy reported that 48% of homes were heated by natural gas. The claim of the test is that the proportion of homes in Oregon that were heated by natural gas is different than what was reported. The hypothesis is,

Null hypothesis:

H0:p=0.48

Alternative hypothesis:

H1:p0.48

The sample proportion of p is,

p^=xn=142336=0.4226

The sample proportion is 0.4226.

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