A study was conducted to see of airbags save lives. The table below lists the results from a simple random sample of front-seat occupants involved in car crashes.    Airbag Available No Airbag Available Occupant Fatalities 41 52 Total number of occupants 11,541 9,853         Which test is appropriate for this data? Why? State the null hypothesis and alternative hypothesis to test the claim that the fatality rate of occupancy is lower for those equipped with airbags. What is the sample proportion of fatalities where there were airbags available, 1?

College Algebra (MindTap Course List)
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ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
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Chapter8: Sequences, Series, And Probability
Section8.7: Probability
Problem 58E: What is meant by the sample space of an experiment?
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A study was conducted to see of airbags save lives. The table below lists the results from a simple random sample of front-seat occupants involved in car crashes. 

 

Airbag Available

No Airbag Available

Occupant Fatalities

41

52

Total number of occupants

11,541

9,853

 

 

 

 

  1. Which test is appropriate for this data? Why?
  2. State the null hypothesis and alternative hypothesis to test the claim that the fatality rate of occupancy is lower for those equipped with airbags.
  3. What is the sample proportion of fatalities where there were airbags available, 1?
  4. What is the sample proportion of fatalities where there were no airbags available, p2?
  5. What is the difference in the two proportions, D?
  6. What is the standard error of the difference, SED?
  7. What is the confidence interval of the difference at a confidence level of 90%?
  8. What is the test statistic?
  9. At a significance level of 5%, should we reject or fail to reject the null hypothesis?
  10. What conclusion can you make?
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