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?

Holt Mcdougal Larson Pre-algebra: Student Edition 2012
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Chapter11: Data Analysis And Probability
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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.

  1. Is this a test of one mean or proportion?
  2. State the null and alternative hypotheses.
    H0: ____________________ Ha: ____________________
  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′p′ = _____________
  7. Calculate σx = __________. Show the formula set-up.
  8. State the distribution to use for the hypothesis test.
  9. Find the p-value.
  10. 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):

SIDE NOTE: I need subparts 4, 5, 6, 7, 8, 9, and 10 to be solved. Thank you

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