Question

6. A city expressway using five lanes in each direction was studied to see whether drivers preferred to drive on the inside lanes. A total of 1000 automobiles was observed during the heavy morning traffic and their respective lanes were recorded. The results were as follow: Lane 1 | 194 176 238 192 200 Observed count Do the data present sufficient evidence to indicate that some lanes are preferred over others? Use a = 0.05. (5 pts)

Answer 1

Category	pi	Observed Freq. (Oi)	Expected Freq. (Ei)	(Oi - Ei)^2/Ei
1	0.2000	194	200	0.180
2	0.2000	176	200	2.880
3	0.2000	238	200	7.220
4	0.2000	192	200	0.320
5	0.2000	200	200	0.000
		1000		10.600

n	5
alpha	0.05
degrees of freedom	4
p-value	0.0314
Critical value	9.488

As p-value < 0.05, reject H0

There is sufficient evidence to conclude that some lanes are preferred over others