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 288 times. The results are displayed on the table below.  Use an α = 0.10 significance level. Complete the rest of the table by filling in the expected frequencies: Outcome Frecuency  Expected Frecuency Spades 48   Hearts 72   Diamonds 87   Clubs 81   What is the correct statistical test to use? Select an answer:( 1 ANSWER) Independence:, Goodness-of-Fit; Homogeneity; Paired t-test. What are the null and alternative hypotheses? H0: The suits and cards are dependent. The distribution of suits is uniform. The distribution of suits is not uniform. The suits and cards are independent. H1: The distribution of suits is uniform. The suits and cards are dependent. The suits and cards are independent. The distribution of suits is not uniform.

College Algebra
1st Edition
ISBN:9781938168383
Author:Jay Abramson
Publisher:Jay Abramson
Chapter9: Sequences, Probability And Counting Theory
Section9.7: Probability
Problem 4SE: What is the difference between events and outcomes? Give an example of both using the sample space...
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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 288 times. The results are displayed on the table below.  Use an α = 0.10 significance level.

  1. Complete the rest of the table by filling in the expected frequencies:
Outcome Frecuency 

Expected Frecuency

Spades 48

 

Hearts 72  
Diamonds 87  
Clubs 81  
      1. What is the correct statistical test to use?
        Select an answer:( 1 ANSWER) Independence:, Goodness-of-Fit; Homogeneity; Paired t-test.
      2. What are the null and alternative hypotheses?
        H0:
        • The suits and cards are dependent.
        • The distribution of suits is uniform.
        • The distribution of suits is not uniform.
        • The suits and cards are independent.
      3. H1:
        • The distribution of suits is uniform.
        • The suits and cards are dependent.
        • The suits and cards are independent.
        • The distribution of suits is not uniform.

         

        1. The degrees of freedom =  ____

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

        3. The p-value for this sample =________ (Please show your answer to four decimal places.)  
        1. The p-value is _______  α  

        2. Based on this, we should Select an answer_______

         

        1. Thus, the final conclusion is...
          • There is insufficient evidence to conclude that the distribution of suits is not uniform.
          • 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 sufficient evidence to conclude that the distribution of suits is not uniform.
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