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, 390 people were observed entering the building. The number using each entrance is reported below. At the 0.01 significance level, is there a difference in the use of the four entrances? Frequency Entrance Main Street Broad Street 78 103 Cherry Street Walnut Street 117 92 Total 390 picture Click here for the Excel Data File He: TTM = TTB = TTC = TW H: The proportions are not equal. a. State the decision rule. Use 0.01 significance level. (Round your answer to 3 decimal places.) Reject Ho if chi-square > b. How many degrees of freedom are there? Degrees of freedom c. 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 fe (f, - fe) and (fo - foƒ/f, to 2 decimal places. Round x to 2 decimal places.) Entrance fo fe fo-fe (fo-fe)/fe Main Broad Cherry Walnut Total d. What is your decision regarding Hg? Ho is The entrances equally preferred.

College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter8: Sequences, Series, And Probability
Section8.7: Probability
Problem 5E: List the sample space of each experiment. Rolling one die and tossing one coin
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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, 390 people were observed entering the building. The number using
each entrance is reported below. At the 0.01 significance level, is there a difference in the use of the four entrances?
Entrance
Main Street
Broad Street
Frequency
78
103
Cherry Street
Walnut Street
117
92
Total
390
-
picture Click here for the Excel Data File
He: TTM = TTB = Tc = TTW
H: The proportions are not equal.
a. State the decision rule. Use 0.01 significance level. (Round your answer to 3 decimal places.)
Reject Ho if chi-square >
b. How many degrees of freedom are there?
Degrees of freedom
c. 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 fe. (f. - fe) and (fo - f}/f, to 2 decimal places. Round x to 2 decimal places.)
Entrance
fo
fo-fe
(fo-fe)?/fe
Main
Broad
Cherry
Walnut
Total
d. What is your decision regarding He?
Ho is
The entrances
equally preferred.
Transcribed Image Text: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, 390 people were observed entering the building. The number using each entrance is reported below. At the 0.01 significance level, is there a difference in the use of the four entrances? Entrance Main Street Broad Street Frequency 78 103 Cherry Street Walnut Street 117 92 Total 390 - picture Click here for the Excel Data File He: TTM = TTB = Tc = TTW H: The proportions are not equal. a. State the decision rule. Use 0.01 significance level. (Round your answer to 3 decimal places.) Reject Ho if chi-square > b. How many degrees of freedom are there? Degrees of freedom c. 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 fe. (f. - fe) and (fo - f}/f, to 2 decimal places. Round x to 2 decimal places.) Entrance fo fo-fe (fo-fe)?/fe Main Broad Cherry Walnut Total d. What is your decision regarding He? Ho is The entrances equally preferred.
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