(Solved) The National Institute of Mental Health published an article stating that in any one-year period, approximately 9.5 percent of American adults


Question: 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.

  1. Is this a test of one mean or proportion?
  2. State the null and alternative hypotheses using symbols.
  3. Is this a right-tailed, left-tailed, or two-tailed test?
  4. What symbol represents the random variable for this test?
  5. In words, define the random variable for this test.
  6. Calculate the following:
  1. x
  2. n
  3. p′

g. Calculate σ x

h. State the distribution to use for the hypothesis test.

  1. Find the p-value.

j. 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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Solution: The downloadable solution consists of 3 pages
Deliverable: Word Document

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