The National Institute of Mental Health published an article stating that in any one-year period, approximately 9.1% of American adults suffer from depression or a depressive illness. Suppose that in a survey of 2000 people in a certain city, 10.5% 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 9.1% in the general adult American population. Test the relevant hypotheses using a 1% 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.) H0: H1: b. Based on the hypotheses, find the following: c. Test Statistic = d. p-value = e. Based on the above we choose to f. The correct summary would be:
The National Institute of Mental Health published an article stating that in any one-year period, approximately 9.1% of American adults suffer from depression or a depressive illness. Suppose that in a survey of 2000 people in a certain city, 10.5% 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 9.1% in the general adult American population. Test the relevant hypotheses using a 1% 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.)
H0:
H1:
b. Based on the hypotheses, find the following:
c. Test Statistic =
d. p-value =
e. Based on the above we choose to
f. The correct summary would be:
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