You want to see if it makes a difference which lane to be in when there is traffic. You randomly observe 288 cars as they pass by on the four lane freeway. The results are displayed in the table below.  Use a level of significance of αα = 0.10. Complete the rest of the table by filling in the expected frequencies: Frequency of Cars in Each Lane Outcome Frequency Expected Frequency Lane 1 72   Lane 2 84   Lane 3 62   Lane 4 70   What is the correct statistical test to use?       What are the null and alternative hypotheses? H0:H0:  The distribution of traffic is not uniform. The traffic and lanes are dependent. The distribution of traffic is uniform. The traffic and lanes are independent. H1:H1:  The traffic and lanes are independent. The distribution of traffic is uniform. The distribution of traffic is not uniform. The traffic and lanes are dependent. The degrees of freedom =

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You want to see if it makes a difference which lane to be in when there is traffic. You randomly observe 288 cars as they pass by on the four lane freeway. The results are displayed in the table below.  Use a level of significance of αα = 0.10.

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

    Frequency of Cars in Each Lane
    Outcome Frequency Expected Frequency
    Lane 1 72

     

    Lane 2 84  
    Lane 3 62  
    Lane 4 70  


  2. What is the correct statistical test to use?
         
  3. What are the null and alternative hypotheses?
    H0:H0: 
    • The distribution of traffic is not uniform.
    • The traffic and lanes are dependent.
    • The distribution of traffic is uniform.
    • The traffic and lanes are independent.



    H1:H1: 
    • The traffic and lanes are independent.
    • The distribution of traffic is uniform.
    • The distribution of traffic is not uniform.
    • The traffic and lanes are dependent.
  4. The degrees of freedom = 
     
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