Test of hypothesis using Chi square
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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
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Solution Summary
This solution tests the hypothesis that there is a difference in the use of the four entrances to the Government Center Building in downtown Philadelphia. It lists the frequencies of the entrances, and uses this information to calculate Chi square step-by-step.
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Please see the attached file.
First we calculate the expected frequencies if all the entrances are equally used.
If all the entrances are equally used probability of using any one of the 4 entrances = 1/4 = 0.25
n= 400
If the use of entrances are equal
Entrance proportion Expected frequency
Main Street 0.25 100 =0.25x400
Broad Street 0.25 100 =0.25x400
Cherry Street 0.25 100 ...
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