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Card 4 / 6:
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. H 0 : ____________________ 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: x = ________________ n = ________________ 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: Decision: Reason for the decision: Conclusion (write out in a complete sentence):
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