Complete the table by filling in the expected frequencies. Round to the nearest whole number: Outcome Frequency Expected Frequency O 1590   A 1477   B 388   AB 109   What is the correct statistical test to use?       What are the null and alternative hypotheses?

Holt Mcdougal Larson Pre-algebra: Student Edition 2012
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ISBN:9780547587776
Author:HOLT MCDOUGAL
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Chapter11: Data Analysis And Probability
Section: Chapter Questions
Problem 8CR
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In the US,  45.1% of all people have type O blood,  40.9% have type A blood, 10.6% have type B blood and 3.4% have type AB blood. A researcher wants to see if the distribution of blood type is different for millionaires.  The table below shows the results of a random sample of 3564 millionaires. What can be concluded at the αα = 0.10 significance level?

  1. Complete the table by filling in the expected frequencies. Round to the nearest whole number:
    Outcome Frequency Expected Frequency
    O 1590

     

    A 1477  
    B 388  
    AB 109  
  2. What is the correct statistical test to use?
         
  3. What are the null and alternative hypotheses?
    H0:
    • The distribution of blood type for millionaires is the same as it is for Americans in general.
    • Blood type and income are independent.
    • Blood type and income are dependent.
    • The distribution of blood type for millionaires is not the same as it is for Americans in general.




    H1: 
    • The distribution of blood type for millionaires is not the same as it is for Americans in general.
    • The distribution of blood type for millionaires is the same as it is for Americans in general.
    • Blood type and income are dependent.
    • Blood type and income are independent.
  4. The degrees of freedom = 

  5. The test-statistic for this data =  (Please show your answer to three decimal places.)


  6. The p-value for this sample = (Please show your answer to four decimal places.) 


  7. The p-value is  Graeter than or less than   αα  (choose One) 


  8. Based on this, we should  Reject, accept, or fail (Choose One)   


  9. Thus, the final conclusion is...
    • There is sufficient evidence to conclude that the distribution of blood type for millionaires is not the same as it is for Americans in general.
    • There is sufficient evidence to conclude that blood type and income are dependent.
    • There is sufficient evidence to conclude that the distribution of blood type for millionaires is the same as it is for Americans in general.
    • There is insufficient evidence to conclude that the distribution of blood type for millionaires is not the same as it is for Americans in general.
    • There is insufficient evidence to conclude that blood type and income are dependent.
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