Question

1. The US Department of Energy reported that 52% of homes in the USA were heated...

1.

The US Department of Energy reported that 52% of homes in the USA were heated by natural gas. A random sample of 316 homes in Oregon found that 152 were 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:



H1:

Based on the hypotheses, find the following:

Test Statistic =

p-value =

Based on the above we choose to

The correct summary would be:

that the percent of homes in Oregon heated by natural gas is different than 52%.

2,

The US Department of Energy reported that 49% of homes were heated by natural gas. A random sample of 325 homes in Oregon found that 140 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, find the following:

Test Statistic =

p-value =

Based on the above we choose to

The correct summary would be: that the proportion of homes in Oregon that were heated by natural gas is different than what the DOE reported value of 49%.

Math   Statistics-And-Probability   
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