Question 4 The National Institute of Mental Health published an article stating that in any one-year period, approximately 8.3% of American adults suffer from depression or a depressive illness. Suppose that in a survey of 2000 people in a certain city, 11.5% 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 8.3% in the general adult American population. Test the relevant hypotheses using a 5% 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: Select an answer? H₁: Select an answer? b. Based on the hypotheses, find the following: c. Test Statistic = d. p-value = e. Based on the above we choose to Select an answer f. 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 8.3%. 34 % 5

Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter11: Data Analysis And Probability
Section: Chapter Questions
Problem 8CR
Question
Question 4
The National Institute of Mental Health published an article stating that in any one-year period,
approximately 8.3% of American adults suffer from depression or a depressive illness. Suppose that in a
survey of 2000 people in a certain city, 11.5% 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 8.3% in the general adult American population. Test the
relevant hypotheses using a 5% 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: Select an answer?
H₁: Select an answer?
b. Based on the hypotheses, find the following:
c. Test Statistic =
d. p-value =
e. Based on the above we choose to Select an answer
f. 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 8.3%.
34
%
5
Transcribed Image Text:Question 4 The National Institute of Mental Health published an article stating that in any one-year period, approximately 8.3% of American adults suffer from depression or a depressive illness. Suppose that in a survey of 2000 people in a certain city, 11.5% 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 8.3% in the general adult American population. Test the relevant hypotheses using a 5% 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: Select an answer? H₁: Select an answer? b. Based on the hypotheses, find the following: c. Test Statistic = d. p-value = e. Based on the above we choose to Select an answer f. 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 8.3%. 34 % 5
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