There are four entrances to the Government Center Building i

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?

Frequency

Main Street

121

Broad Street

116

Cherry Street

92

Walnut Street

71

             Total

400

State the null and alternate hypotheses:

H₀: ?_V = 0.92          H₁: ?_S = 0.03

H₀: ?_M = ?_B = ?_C = ?_W        H₁: Not all are the same

H₀: ?

Solution

H₀: ?_M = ?_B = ?_C = ?_W        H₁: Not all are the same

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The degree of freedom =n-1=4-1=3

Given a=0.01, the critical value of X^2 with 0.99 and df=3 is 11.34 (from chisquare table)

Answer: X