MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN: 9781119256830
Author: Amos Gilat
Publisher: John Wiley & Sons Inc
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You want to see if a card dealer is favoring one suit over another. You observe the dealer pick a card, put it back in the deck, shuffle, and then repeat the process 256 times. The results are displayed in the table below.  Use an αα = 0.10 significance level.

  1. Complete the rest of the table by filling in the expected frequencies:
    Outcome Frequency Expected Frequency
    Spades 49

     

    Hearts 75  
    Diamonds 69  
    Clubs 63  
  2. What is the correct statistical test to use?
         
  3. What are the null and alternative hypotheses?
    H0:
    • The distribution of suits is uniform.
    • The suits and cards are dependent.
    • The distribution of suits is not uniform.
    • The suits and cards are independent.



    H1:
    • The suits and cards are independent.
    • The suits and cards are dependent.
    • The distribution of suits is not uniform.
    • The distribution of suits is uniform.
  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  Greater Than or less than  αα (Choose one) 

  8. Based on this, we should     
  9. Thus, the final conclusion is...
    • There is insufficient evidence to conclude that suits and cards are dependent.
    • There is sufficient evidence to conclude that the distribution of suits is uniform.
    • There is sufficient evidence to conclude that suits and cards are dependent.
    • There is insufficient evidence to conclude that the distribution of suits is not uniform.
    • There is sufficient evidence to conclude that the distribution of suits is not uniform.
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