A city expressway with four lanes in each direction was studied to see whether drivers preferred to drive on the inside lanes. A total of 1000 automobiles were observed during the heavy early- morning traffic, and their respective lanes were recorded. The results are shown in the following table. Lane Count 1 294 2 276 3 238 4 192 Total 1000 To test whether there is sufficient evidence to indicate that some lanes are preferred over others, they test Ho P₁ = P2 = P3 = P4 vs. Ha : Pi Pj, for some i‡j, i, j = 1, 2, 3, 4. What is the observed test statistic? Note: Please round your numerical answer to three decimal places.

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A city expressway with four lanes in each direction was studied to see whether drivers preferred
to drive on the inside lanes. A total of 1000 automobiles were observed during the heavy early-
morning traffic, and their respective lanes were recorded. The results are shown in the following
table.
Lane
Count
1
294
2
276
3
238
4
192
Total
Note: Please round your numerical answer to three decimal places.
1000
To test whether there is sufficient evidence to indicate that some lanes are preferred over others,
they test
H₁ : P₁ = P2 = P3 = P4 vs. Ha : Pi ‡ pj, for some i ‡j, i, j = 1,2,3, 4.
What is the observed test statistic?
Transcribed Image Text:A city expressway with four lanes in each direction was studied to see whether drivers preferred to drive on the inside lanes. A total of 1000 automobiles were observed during the heavy early- morning traffic, and their respective lanes were recorded. The results are shown in the following table. Lane Count 1 294 2 276 3 238 4 192 Total Note: Please round your numerical answer to three decimal places. 1000 To test whether there is sufficient evidence to indicate that some lanes are preferred over others, they test H₁ : P₁ = P2 = P3 = P4 vs. Ha : Pi ‡ pj, for some i ‡j, i, j = 1,2,3, 4. What is the observed test statistic?
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