A social worker notes that in a population of psychiatric inpatients the ethnic mix seems out of balance with what she has understood to be the ratios in the general population. Respond to the prompts below to show how she might determine whether the inpatient ethnic mix varies from the mix in the general population.  What statistical test would be appropriate to use here? Explain the rationale for your answer. What assumptions would need to be met in order to use the test? Describe the data that the test would be based on as either quantitative or qualitative. Explain the rationale for your answer.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 23PFA
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A social worker notes that in a population of psychiatric inpatients the ethnic mix seems out of balance with what she has understood to be the ratios in the general population. Respond to the prompts below to show how she might determine whether the inpatient ethnic mix varies from the mix in the general population. 

  1. What statistical test would be appropriate to use here? Explain the rationale for your answer.
  2. What assumptions would need to be met in order to use the test?
  3. Describe the data that the test would be based on as either quantitative or qualitative. Explain the rationale for your answer.
  4. Write an example of how the null and alternative hypotheses for this test could be stated.
  5. What would the researcher need to know in order to calculate the appropriate test statistic? I.e., what values need to be known or calculated in order to complete the calculation of the test statistic?
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