Question
The National Institute of Mental Health published an article stating that in any one-year period, approximately 9.3% of American adults suffer from depression or a
The National Institute of Mental Health published an article stating that in any one-year period, approximately 9.3% of American adults suffer from depression or a depressive illness. Suppose that in a survey of 2000 people in a certain city, 11.1% 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 9.3% in the general adult American population. Test the relevant hypotheses using a 5% level of significance.
a) What are the correct hypotheses?
H0: H1:
H0: H1:
H0: H1:
H0: H1:
H0: H1:
b) The p-value is 0.0028. Choose the correct decision and summary.Reject H0,there is not enough evidence to support the claim that the proportion of people in that city suffering from depression or a depressive illness is more than the 9.3%.
Do not reject H0,there is enough evidence to support the claim that the proportion of people in that city suffering from depression or a depressive illness is more than the 9.3%.
Do not reject H0,there is not enough evidence to support the claim that the proportion of people in that city suffering from depression or a depressive illness is more than the 9.3%.
Reject H0, there is enough evidence to support the claim that the proportion of people in that city suffering from depression or a depressive illness is morethan the 9.3%.
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