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 The p-value is     αα  Based on this, we should      Thus, the final conclusion is... There is sufficient evidence to conclude that traffic and lanes are dependent. There is sufficient evidence to conclude that the distribution of traffic is not uniform. There is insufficient evidence to conclude that the distribution of traffic is not uniform. There is insufficient evidence to conclude that traffic and lanes are dependent. There is sufficient evidence to conclude that the distribution of traffic is uniform.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 42PFA
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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. The p-value is     αα 

  3. Based on this, we should     
  4. Thus, the final conclusion is...
    • There is sufficient evidence to conclude that traffic and lanes are dependent.
    • There is sufficient evidence to conclude that the distribution of traffic is not uniform.
    • There is insufficient evidence to conclude that the distribution of traffic is not uniform.
    • There is insufficient evidence to conclude that traffic and lanes are dependent.
    • There is sufficient evidence to conclude that the distribution of traffic is uniform.
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