The National Institute of Mental Health published an article stating that in any one-year period, approximately 9.7% of
Posted: Wed May 11, 2022 3:12 pm
The National Institute of Mental Health published an article
stating that in any one-year period, approximately 9.7% of American
adults suffer from depression or a depressive illness. Suppose that
in a survey of 2000 people in a certain city, 10.4% 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 9.7% in the general adult American
population. Test the relevant hypotheses using a 5% 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: Select an
answer μ s p̂ x̄ σ s² p σ² Correct ? ≥ = ≠ < ≤ > Correct Correct
H1: Select an
answer s² p x̄ μ σ² p̂ s σ Correct ? ≥ > ≠ ≤ = < Correct Correct
Based on the hypotheses, find the following:
Test Statistic =
p-value =
Based on the above we choose to Select an
answer Accept the null hypothesis Reject the null
hypothesis Accept the alternative hypotheis Fail to
reject the null hypothesis Incorrect
The correct summary would be: Select an answer There
is enough evidence to support the claim There is not enough
evidence to reject the claim There is enough evidence to
reject the claim There is not enough evidence to support the
claim Incorrect 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 9.7%.
stating that in any one-year period, approximately 9.7% of American
adults suffer from depression or a depressive illness. Suppose that
in a survey of 2000 people in a certain city, 10.4% 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 9.7% in the general adult American
population. Test the relevant hypotheses using a 5% 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: Select an
answer μ s p̂ x̄ σ s² p σ² Correct ? ≥ = ≠ < ≤ > Correct Correct
H1: Select an
answer s² p x̄ μ σ² p̂ s σ Correct ? ≥ > ≠ ≤ = < Correct Correct
Based on the hypotheses, find the following:
Test Statistic =
p-value =
Based on the above we choose to Select an
answer Accept the null hypothesis Reject the null
hypothesis Accept the alternative hypotheis Fail to
reject the null hypothesis Incorrect
The correct summary would be: Select an answer There
is enough evidence to support the claim There is not enough
evidence to reject the claim There is enough evidence to
reject the claim There is not enough evidence to support the
claim Incorrect 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 9.7%.