SOLUTION: 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. T

Question 560309: 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, 400 people were observed entering the building. The number using each entrance is reported below. At the .01 significance level, is there a difference in the use of the four entrances?
Entrance Frequency
Main Street 140
Broad Street 120
Cherry Street 90
Walnut Street 50
Total 400

Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
400 people were observed entering the building. The number using each entrance is reported below. At the .01 significance level, is there a difference in the use of the four entrances?
Entrance:::::::::::observed:::expected
Main Street:::::::::: 140:::::::100
Broad Street::::::::: 120:::::::100
Cherry Street::::::::: 90:::::::100
Walnut Street::::::::: 50:::::::100
----------------
Ho: proportions are the same
Ha: proportions are not the same
I ran a Chi-Sq Goodness of Fit test and got the following:
X^2 = 46
p-value: 5.6715x10^-10
df: 3
====
Conclusion:
Since the p-value is less than 1% reject Ho.
The proportions are not all the same.
=========================
Cheers,
Stan H.
===========

RELATED QUESTIONS
An office building has 7 doors. Four doors are only entrances to the building and two... (answered by stanbon)

In and apartment building there is one elevator, and the maximum load that it can carry... (answered by ankor@dixie-net.com)

Sandy and Mario are going into Tuneville Center to hear a band play. They can get in... (answered by mathmate)

There are three routes from a person�s home to her place of work. There are four parking... (answered by ikleyn,Alan3354)

51.2% of the voters in a large city support the building of a new recycling center. If... (answered by stanbon)

The parcks department has started building a new playground at Canyonside Park. The... (answered by rfer)

In a recent survey, 66% of the community favored building a health center in their... (answered by edjones)

In a recent survey, 77% of the community favored building a health center in their... (answered by Boreal)