. 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.Is this a test of one mean or proportion?State the null and alternative hypotheses.H0: ____________________ Ha: ____________________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′p′ = _____________Calculate σx = __________. Show the formula set-up.State the distribution to use for the hypothesis test.Find the p-value.At a pre-conceived α = 0.05, what is your:Decision:Reason for the decision:Conclusion (write out in a complete sentence):

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Description: . 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,

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Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

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ISBN:9780079039897

Author:Carter

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Section10.6: Summarizing Categorical Data

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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.

Is this a test of one mean or proportion?
State the null and alternative hypotheses.
H₀: ____________________ H_a: ____________________
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:
1. x = ________________
2. n = ________________
3. p′p′ = _____________
Calculate σ_x = __________. Show the formula set-up.
State the distribution to use for the hypothesis test.
Find the p-value.
At a pre-conceived α = 0.05, what is your:
1. Decision:
2. Reason for the decision:
3. Conclusion (write out in a complete sentence):

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