There are four entrances to the Government Center Building in downtown Philadelp

Question

There are four entrances to the Government Center Building in downtown Philadelphia. The building maintenance supervisor would like to know if the entrances are equally utilized. To investigate, 600 people were observed entering the building. The number using each entrance is reported below. At the 0.1 significance level, is there a difference in the use of the four entrances? (Round x2 to 3 decimal place. Negative amounts should be indicated by a minus sign. Leave no cells blank - be certain to enter "0" wherever required. Round fe,(f0 - fe) and (f0 - fe)2/fe) to 2 decimal places.)

  Entrance Frequency   Main Street 175   Broad Street 150   Cherry Street 200   Walnut Street 75      Total 600

Explanation / Answer

At df=3, alpha=0.1, the critical chi-square is 6.251. Reject H0 if X^2>6.251.

H0 is rejected (X^2>6.251). The proportions are not equal.

Entrance f0 fe f0-fe (f0-fe)^2/fe Main 175 150 [600*0.25] 25 4.1667 Braod 150 150 0 0 Cherry 200 150 50 16.6667 Walnut 75 150 -75 37.5000 0 58.3333

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