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The US Department of Energy reported that 52% of homes were heated by natural gas. A random sa 300 homes in Oregon found that 168 were heated by natural gas. Test the claim that proportion of in Oregon that were heated by natural gas is different than what was reported. Use a 5% significanc level. Give answer to at least 4 decimal places. a. What are the correct hypotheses? (Select the correct symbols and use decimal values not percent Ho: P = V H₁: p Based on the hypotheses, compute the following: 0.52 0.52 ✓0 ✓

The US Department of Energy reported that 52% of homes were heated by natural gas. A random sa 300 homes in Oregon found that 168 were heated by natural gas. Test the claim that proportion of in Oregon that were heated by natural gas is different than what was reported. Use a 5% significanc level. Give answer to at least 4 decimal places. a. What are the correct hypotheses? (Select the correct symbols and use decimal values not percent Ho: P = V H₁: p Based on the hypotheses, compute the following: 0.52 0.52 ✓0 ✓

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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The US Department of Energy reported that 52% of homes were heated by natural gas. A random sample of 300 homes in Oregon found that 168 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% significance level. Give answer to at least 4 decimal places. a. What are the correct hypotheses? (Select the correct symbols and use decimal values not percentages.) Ho: P b. Test Statistic = -2.8938 X H₁: p Based on the hypotheses, compute the following: c. p-value =V = 0.0038 X 0° #V 0.52 0.52 ✓ d. Based on the above we choose to Fail to reject the null hypothesis ✓ 00 e. The correct summary would be: There is not enough evidence to support the claim o that the proportion of homes in Oregon that were heated by natural gas is different than what the DOE reported value of 52%.
Transcribed Image Text:The US Department of Energy reported that 52% of homes were heated by natural gas. A random sample of 300 homes in Oregon found that 168 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% significance level. Give answer to at least 4 decimal places. a. What are the correct hypotheses? (Select the correct symbols and use decimal values not percentages.) Ho: P b. Test Statistic = -2.8938 X H₁: p Based on the hypotheses, compute the following: c. p-value =V = 0.0038 X 0° #V 0.52 0.52 ✓ d. Based on the above we choose to Fail to reject the null hypothesis ✓ 00 e. The correct summary would be: There is not enough evidence to support the claim o that the proportion of homes in Oregon that were heated by natural gas is different than what the DOE reported value of 52%.
The National Institute of Mental Health published an article stating that in any one-year period, approximately 9.2% of American adults suffer from depression or a depressive illness. Suppose that in a survey of 2000 people in a certain city, 11.6% of them suffered from depression or a depressive illness. Conduct a hypothesis test to determine if the true proportion of people in that city suffering from depression or a depressive illness is more than the 9.2% in the general adult American population. Test the relevant hypotheses using a 10% level of significance. Give answer to at least 4 decimal places. a. What are the correct hypotheses? (Select the correct symbols and use decimal values not percentages.) Ho: P H₁: p b. Based on the hypotheses, find the following: c. Test Statistic = 8.016 X 0° 0.092 d. p-value = 0 0.092 e. Based on the above we choose to Reject the null hypothesis OB OT f. The correct summary would be: There is enough evidence to support the claim o that the true proportion of people in that city suffering from depression or a depressive illness is more than the percent in the general adult American population of 9.2%.
Transcribed Image Text:The National Institute of Mental Health published an article stating that in any one-year period, approximately 9.2% of American adults suffer from depression or a depressive illness. Suppose that in a survey of 2000 people in a certain city, 11.6% of them suffered from depression or a depressive illness. Conduct a hypothesis test to determine if the true proportion of people in that city suffering from depression or a depressive illness is more than the 9.2% in the general adult American population. Test the relevant hypotheses using a 10% level of significance. Give answer to at least 4 decimal places. a. What are the correct hypotheses? (Select the correct symbols and use decimal values not percentages.) Ho: P H₁: p b. Based on the hypotheses, find the following: c. Test Statistic = 8.016 X 0° 0.092 d. p-value = 0 0.092 e. Based on the above we choose to Reject the null hypothesis OB OT f. The correct summary would be: There is enough evidence to support the claim o that the true proportion of people in that city suffering from depression or a depressive illness is more than the percent in the general adult American population of 9.2%.
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