You want to see if it makes a difference which lane to be in when there is traffic. You randomly observe 216 cars as they pass by on the four lane freeway. The results are displayed in the table below. Use a level of significance of a = 0.10. a. Complete the rest of the table by filling in the expected frequencies: Frequency of Cars in Each Lane Outcome Frequency Expected Frequency

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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 216
cars as they pass by on the four lane freeway. The results are displayed in the table below. Use a level of
significance of a = = 0.10.
a. Complete the rest of the table by filling in the expected frequencies:
Frequency of Cars in Each Lane
Outcome Frequency Expected Frequency
Lane 1
58
Lane 2
65
Lane 3
46
Lane 4 47
b. What is the correct statistical test to use?
Goodness-of-Fit
c. What are the null and alternative hypotheses?
Ho:
The distribution of traffic is not uniform.
The distribution of traffic is uniform.
The traffic and lanes are dependent.
The traffic and lanes are independent.
The distribution of traffic is not uniform.
The distribution of traffic is uniform.
The traffic and lanes are dependent.
The traffic and lanes are independent.
d. The degrees of freedom
=
e. The test-statistic for this data
=
f. The p-value for this sample=
H₁:
(Please show your answer to three decimal places.)
(Please show your answer to four decimal places.)
Transcribed Image Text:You want to see if it makes a difference which lane to be in when there is traffic. You randomly observe 216 cars as they pass by on the four lane freeway. The results are displayed in the table below. Use a level of significance of a = = 0.10. a. Complete the rest of the table by filling in the expected frequencies: Frequency of Cars in Each Lane Outcome Frequency Expected Frequency Lane 1 58 Lane 2 65 Lane 3 46 Lane 4 47 b. What is the correct statistical test to use? Goodness-of-Fit c. What are the null and alternative hypotheses? Ho: The distribution of traffic is not uniform. The distribution of traffic is uniform. The traffic and lanes are dependent. The traffic and lanes are independent. The distribution of traffic is not uniform. The distribution of traffic is uniform. The traffic and lanes are dependent. The traffic and lanes are independent. d. The degrees of freedom = e. The test-statistic for this data = f. The p-value for this sample= H₁: (Please show your answer to three decimal places.) (Please show your answer to four decimal places.)
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