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.
- Complete the rest of the table by filling in the expected
frequencies:
Frequency of Cars in Each Lane
Outcome |
Frequency |
Expected Frequency |
Lane 1 |
66 |
|
Lane 2 |
109 |
|
Lane 3 |
84 |
|
Lane 4 |
73 |
|
- What are the null and alternative hypotheses?
H0:H0: Select an answer The traffic and lanes are dependent. The
distribution of traffic is uniform. The distribution of traffic is
not uniform. 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.
- The degrees of freedom =
- The test-statistic for this data = (Please show your
answer to two decimal places.)
- Based on this, we should
- accept the null
- reject the null
- fail to reject the null
- Thus, the final conclusion is...
- 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 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 insufficient evidence to conclude that traffic and
lanes are dependent.