In 2015, the proportion of people with Traumatic Brain Injury was 0.0062 in the United States.  Periodically rehabilitation centers must demonstrate the need for rehabilitation services in their service area to receive funding from the State of Indiana.  In the last survey of 348 respondents, a local rehabilitation center found the incidence of Traumatic Brain Injury in their service region to be 0.0086.  The State of Indiana wants you to be 94% confident in your analysis results. State in statistical terms the null and alternative hypotheses.  Determine the critical value(s).  Compute the test statistic.  Make a decision about the hypotheses (which hypothesis is correct?).  Has Traumatic Brain Injury increased in the local area?

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.3: Measures Of Spread
Problem 1GP
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In 2015, the proportion of people with Traumatic Brain Injury was 0.0062 in the United States.  Periodically rehabilitation centers must demonstrate the need for rehabilitation services in their service area to receive funding from the State of Indiana.  In the last survey of 348 respondents, a local rehabilitation center found the incidence of Traumatic Brain Injury in their service region to be 0.0086.  The State of Indiana wants you to be 94% confident in your analysis results.

  1. State in statistical terms the null and alternative hypotheses. 
  2. Determine the critical value(s). 
  3. Compute the test statistic. 
  4. Make a decision about the hypotheses (which hypothesis is correct?). 
  5. Has Traumatic Brain Injury increased in the local area? 

z=  (p-π)/√(π(1-π)/n)

 

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