An organization published an article stating that in any one-year period, approximately 11.5 percent of adults in a country suffer from depression or a depressive illness. Suppose that in a survey of 100 people in a certain town, nine 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 population in the country. Is this a test of one mean or proportion? State the null and alternative hypotheses Is this a right-tailed, left-tailed, or two-tailed test?

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An organization published an article stating that in any one-year period, approximately 11.5 percent of adults in a country suffer from depression or a depressive illness. Suppose that in a survey of 100 people in a certain town, nine 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 population in the country.

  1. Is this a test of one mean or proportion?
  2. State the null and alternative hypotheses
  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 : X= , N= , P= .
  7. Calculate σx. (Round your answer to three decimal places.)/ Show the formula set-up.
  8. State the distribution to use for the hypothesis test.
  9. Find the p-value. (Round your answer to four decimal places.)
  10. At a pre-conceived
    α = 0.05,
    what are your following?
    Decision: , Reason for the decision: ,Conclusion

 

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