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. 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):

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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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. What symbol represents the random variable for this test?
  2. In words, define the random variable for this test.
  3. Calculate the following:
    1. x = ________________
    2. n = ________________
    3. p′p′ = _____________
  4. Calculate σx = __________. Show the formula set-up.
  5. State the distribution to use for the hypothesis test.
  6. Find the p-value.
  7. 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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