You want to see if it makes a difference which lane to be in when there is traffic. You randomly observe 332 cars as they pass by on the four lane freeway. The results are displayed in the table...

You want to see if it makes a difference which lane to be in when there is traffic. You randomly observe 332 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 = 0.01.

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	76
   Lane 2	65
   Lane 3	80
   Lane 4	111

   
   
   
   
   
   


2. What are the null and alternative hypotheses?
   H0:H0: Select an answer The distribution of traffic is uniform. The distribution of traffic is not uniform. The traffic and lanes are dependent. The traffic and lanes are independent.
   
   
   
   
   
   Ha:Ha:
   
   
   

   
   
   • The distribution of traffic is uniform.
   
   
   • The traffic and lanes are independent.
   
   
   • The distribution of traffic is not uniform.
   
   
   • The traffic and lanes are dependent.
   
   

   
   
   
   


3. The degrees of freedom =
   
   
   
   
   


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


5. Based on this, we should
   
   
   

   
   
   • fail to reject the null
   
   
   • reject the null
   
   
   • accept the null
   
   

   
   
   
   


6. Thus, the final conclusion is...
   
   
   

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