The National Institute of Mental Health published an article stating that in any one-year period, approximately 9% of American adults suffer from depression or a depressive illness. Suppose that in a survey of 2000 people in a certain city, 10% 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% in the general adult American population. Test the relevant hypotheses using a 10% level of significance. Give answer to at least 4 decimal places. What are the correct hypotheses? (Select the correct symbols and use decimal values not percentages.) Ho: Select an answer H₁: Select an answer Based on the hypotheses, find the following: Test Statistic = p-value = Based on the above we choose to Select an answer The correct summary would be: Select an answer 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%.
Question 23:
The National Institute of Mental Health published an article stating that in any one-year period, approximately 9% of American adults suffer from depression or a depressive illness. Suppose that in a survey of 2000 people in a certain city, 10% 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% in the general adult American population. Test the relevant hypotheses using a 10% level of significance. 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 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%.


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