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 376 times. The results are...

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 376 times. The results are displayed in the table below.  Use an αα = 0.05 significance level.

1. Complete the rest of the table by filling in the expected frequencies:
   
   Frequencies of Suits Dealt
   
   
   
   
   
   
   
   
   
   
   
   
   
   
   
   
   
   
   
   
   
   
   
   
   
   
   
   
   
   
   

   Outcome	Frequency	Expected Frequency
   Spades	112
   Hearts	77
   Diamonds	103
   Clubs	84

   
   


2. What is the correct statistical test to use?
   Select an answer Paired t-test Independence Goodness-of-Fit Homogeneity
   


3. What are the null and alternative hypotheses?
   H0:H0:
   
   
   

   
   
   • The distribution of suits is uniform.
   
   
   • The suits and cards are independent.
   
   
   • The distribution of suits is not uniform.
   
   
   • The suits and cards are dependent.
   
   

   
   
   
   
   
   
   
   
   H1:H1:
   
   
   

   
   
   • The suits and cards are dependent.
   
   
   • The suits and cards are independent.
   
   
   • 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 Select an answer less than (or equal to) greater than  αα
   
   
   
   
   


8. Based on this, we should Select an answer accept the null reject the null fail to reject the null
   


9. Thus, the final conclusion is...
   
   
   

   
   
   • There is insufficient 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 suits and cards are dependent.
   
   
   • There is sufficient evidence to conclude that the distribution of suits is not uniform.
   
   
   • There is sufficient evidence to conclude that the distribution of suits is uniform.