An organization published an article stating that in any one-year period, approximately 11.5 percent of adults in a country suffer from depression or a depressive illness. Suppose that in a survey of 100 people in a certain town, nine 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 population in the country. Is this a test of one mean or proportion?State the null and alternative hypothesesIs this a right-tailed, left-tailed, or two-tailed test?What symbol represents the random variable for this test?In words, define the random variable for this test.Calculate the following : X= , N= , P= .Calculate σx. (Round your answer to three decimal places.)/ Show the formula set-up. State the distribution to use for the hypothesis test.Find the p-value. (Round your answer to four decimal places.) At a pre-conceivedα = 0.05,what are your following?Decision: , Reason for the decision: ,Conclusion

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College Algebra

10th Edition

ISBN:9781337282291

Author:Ron Larson

Publisher:Ron Larson

Chapter8: Sequences, Series,and Probability

Section8.7: Probability

Problem 4ECP: Show that the probability of drawing a club at random from a standard deck of 52 playing cards is...

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An organization published an article stating that in any one-year period, approximately 11.5 percent of adults in a country suffer from depression or a depressive illness. Suppose that in a survey of 100 people in a certain town, nine 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 population in the country.

Is this a test of one mean or proportion?
State the null and alternative hypotheses
Is this a right-tailed, left-tailed, or two-tailed test?
What symbol represents the random variable for this test?
In words, define the random variable for this test.
Calculate the following : X= , N= , P= .
Calculate σ_x. (Round your answer to three decimal places.)/ Show the formula set-up.
State the distribution to use for the hypothesis test.
Find the p-value. (Round your answer to four decimal places.)
At a pre-conceived
α = 0.05,
what are your following?
Decision: , Reason for the decision: ,Conclusion

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