The National Institute of Mental Health published an article stating that in any one-year period, approximately 9.5 percent of American adults suffer from depression or a depressive illness. Suppose that in a survey of 100 people in a certain town, seven of them suffered from depression or a depressive illness. Conduct a hypothesis test to determine if the true proportion of people in that town suffering from depression or a depressive illness is lower than the percent in the general adult American population. a. Is this a test of one mean or proportion? b. State the null and alternative hypotheses. HO: c. Is this a right-tailed, left-tailed, or two-tailed test? d. What symbol represents the random variable for this test? e. In words, define the random variable for this test. f. Calculate the following: i. x = На: ii. n= lii. p' = g. Calculate ox = h. State the distribution to use for the hypothesis test. i. Find the p-value. j. At a pre-conceived a = 0.05, what is your: i. Decision: ii. Reason for the decision: iii. Conclusion (write out in a complete sentence): Show the formula set-up.
The National Institute of Mental Health published an article stating that in any one-year period, approximately 9.5 percent of American adults suffer from depression or a depressive illness. Suppose that in a survey of 100 people in a certain town, seven of them suffered from depression or a depressive illness. Conduct a hypothesis test to determine if the true proportion of people in that town suffering from depression or a depressive illness is lower than the percent in the general adult American population. a. Is this a test of one mean or proportion? b. State the null and alternative hypotheses. HO: c. Is this a right-tailed, left-tailed, or two-tailed test? d. What symbol represents the random variable for this test? e. In words, define the random variable for this test. f. Calculate the following: i. x = На: ii. n= lii. p' = g. Calculate ox = h. State the distribution to use for the hypothesis test. i. Find the p-value. j. At a pre-conceived a = 0.05, what is your: i. Decision: ii. Reason for the decision: iii. Conclusion (write out in a complete sentence): Show the formula set-up.
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
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![The National Institute of Mental Health published an article stating that in any one-year period,
approximately 9.5 percent of American adults suffer from depression or a depressive illness.
Suppose that in a survey of 100 people in a certain town, seven of them suffered from
depression or a depressive illness. Conduct a hypothesis test to determine if the true proportion
of people in that town suffering from depression or a depressive illness is lower than the percent
in the general adult American population.
a. Is this a test of one mean or proportion?
b. State the null and alternative hypotheses. HO:
c. Is this a right-tailed, left-tailed, or two-tailed test?
d. What symbol represents the random variable for this test?
e. In words, define the random variable for this test.
f. Calculate the following:
i. x =
ii. n=.
lii. p' =
g. Calculate ox =
h. State the distribution to use for the hypothesis test.
i. Find the p-value.
j. At a pre-conceived a = 0.05, what is your:
i. Decision:
ii. Reason for the decision:
iii. Conclusion (write out in a complete sentence):
Ha:
Show the formula set-up.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F66a1e1c8-8b48-484c-b85a-1a89c7d01bf9%2Fc14b2672-094c-4841-90c8-7a76ed6d7a93%2Fxoa50lg_processed.png&w=3840&q=75)
Transcribed Image Text:The National Institute of Mental Health published an article stating that in any one-year period,
approximately 9.5 percent of American adults suffer from depression or a depressive illness.
Suppose that in a survey of 100 people in a certain town, seven of them suffered from
depression or a depressive illness. Conduct a hypothesis test to determine if the true proportion
of people in that town suffering from depression or a depressive illness is lower than the percent
in the general adult American population.
a. Is this a test of one mean or proportion?
b. State the null and alternative hypotheses. HO:
c. Is this a right-tailed, left-tailed, or two-tailed test?
d. What symbol represents the random variable for this test?
e. In words, define the random variable for this test.
f. Calculate the following:
i. x =
ii. n=.
lii. p' =
g. Calculate ox =
h. State the distribution to use for the hypothesis test.
i. Find the p-value.
j. At a pre-conceived a = 0.05, what is your:
i. Decision:
ii. Reason for the decision:
iii. Conclusion (write out in a complete sentence):
Ha:
Show the formula set-up.
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