You want to see if it makes a difference which lane to be in when there is traffic. You randomly observe 324 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 84 Lane 2 90 Lane 3 71 Lane 4 79 What is the correct statistical test to use? What are the null and alternative hypotheses? H0:H0: The distribution of traffic is uniform. The traffic and lanes are dependent. The distribution of traffic is not uniform. The traffic and lanes are independent. H1:H1: The traffic and lanes are dependent. The distribution of traffic is uniform. The traffic and lanes are independent. The distribution of traffic is not uniform. The degrees of freedom = The test-statistic for this data = (Please show your answer to three decimal places.) The p-value for this sample = (Please show your answer to four decimal places.) The p-value is αα Based on this, we should Thus, the final conclusion is... 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 sufficient evidence to conclude that the distribution of traffic is uniform. There is sufficient evidence to conclude that traffic and lanes are dependent. There is insufficient evidence to conclude that traffic and lanes are dependent.

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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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 324 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 84

Lane 2 90

Lane 3 71

Lane 4 79
What is the correct statistical test to use?
What are the null and alternative hypotheses?
H0:H0:
- The distribution of traffic is uniform.
- The traffic and lanes are dependent.
- The distribution of traffic is not uniform.
- The traffic and lanes are independent.
H1:H1:
- The traffic and lanes are dependent.
- The distribution of traffic is uniform.
- The traffic and lanes are independent.
- The distribution of traffic is not uniform.
The degrees of freedom =
The test-statistic for this data = (Please show your answer to three decimal places.)
The p-value for this sample = (Please show your answer to four decimal places.)
The p-value is αα
Based on this, we should
Thus, the final conclusion is...
- 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 sufficient evidence to conclude that the distribution of traffic is uniform.
- There is sufficient evidence to conclude that traffic and lanes are dependent.
- There is insufficient evidence to conclude that traffic and lanes are dependent.

Outcome	Frequency	Expected Frequency
Lane 1	84
Lane 2	90
Lane 3	71
Lane 4	79

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