There are four entrances to the Government Center Building in downtown Philadelphia. The building maintenance supervisor...

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, 430 people were observed entering the building. The number using each entrance is reported below. At the 0.05 significance level, is there a difference in the use of the four entrances?

Entrance	Frequency
Main Street		100
Broad Street		88
Cherry Street		117
Walnut Street		125
Total		430

Excel data

Entrance	Frequency
Main Street	100
Broad Street	88
Cherry Street	117
Walnut Street	125
Total	430

H₀: π₁ = π₂ = π₃ = π₄

H₁: The proportions are not equal.

State the decision rule. Use 0.05 significance level. (Round your answer to 3 decimal places.)

How many degrees of freedom are there?

Compute the value of chi-square. (Negative amounts should be indicated by a minus sign. Leave no cells blank - be certain to enter "0" wherever required. Round f_e,(f_o - f_e) and (f_o - f_e)²/f_e) to 2 decimal places. Round χ² to 2 decimal places.)

What is your decision regarding H₀?

Expert Solution

orchestra answered 2 years ago

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