Question
In: Statistics and Probability
The office occupancy rates were reported for four California metropolitan areas. Do the following data suggest...
The office occupancy rates were reported for four California metropolitan areas. Do the following data suggest that the office vacancies were independent of the metropolitan area? Run a hypothesis test at alpha of 0.05. What is your conclusion?
Observed Frequencies Occupancy Status/Metropolitan Area Los Angeles San Diego San Francisco San Jose Total Occupied 160 116 192 174 642 Vacant 40 34 33 26 133 Total 200 150 225 200 775
Please explain in the excel sheet
Solutions
Expert Solution
Null Hypothesis(H0):
The office vacancies were independent of the metropolitan area.
(There is no significant difference between the observed and expected frequencies).
Alternative Hypothesis(H1):
The office vacancies were not independent of the metropolitan area.
(There is a significant difference between the observed and expected frequencies).
Observed and expected frequencies for "Vacant":
So, the test statistic is: 
=6.4223
Degrees of freedom, df =n - 1 =4 - 1 =3
Given significance level (alpha) =0.05
At 0.05 alpha and at df =3, the critical value of Chi-square is:
=7.8147
Conclusion:
Since the test statistic, 
of 6.4223 <
of 7.8147, we failed to reject the null hypothesis(H0) at 0.05
significance level. Thus, we do
not have enough
evidence to claim that there is a significant
difference between the observed and expected frequencies.
So, the given data suggest that the office vacancies were independent of the metropolitan area.
orchestra answered 1 year agoRelated Solutions
The office occupancy rates were reported for four California metropolitan areas.
The office occupancy rates were reported for four California metropolitan areas.
Do the following data suggest that the office vacancies were independent of the metropolitan area?
Run a hypothesis test at alpha of 0.05. What is your conclusion?
Observed Frequencies
Occupancy Status/Metropolitan Area
Los Angeles
San Diego
San Francisco
San Jose
Total
Occupied
160
116
192
174
642
Vacant
40
34
33
26
133
Total
200
150
225
200
775
The office occupancy rates were reported for 4 Texas metropolitan areas. Do the following data suggest...
The office occupancy rates were reported for 4 Texas
metropolitan areas. Do the following data suggest that the office
vacancies were independent of metropolitan area? Choose one alpha
value from 0.05, 0.01, 0.1. What is your conclusion? Please include
all your work!
Occupancy Status
Dallas
Houston
Austin
San Antonio
Occupied
160
116
192
174
Vacant
40
34
33
26
Do the following data suggest that the office vacancies were independent of the metropolitan area?
The office occupancy rates were reported for four California metropolitan areas.
Do the following data suggest that the office vacancies were independent of the metropolitan area?
Run a hypothesis test at alpha of 0.05. What is your conclusion?
Observed Frequencies
Occupancy Status/Metropolitan Area
Los Angeles
San Diego
San Francisco
San Jose
Total
Occupied
160
116
192
174
642
Vacant
40
34
33
26
133
Total
200
150
225
200
775
Note: Please write down the formulas clearly. Thank you The office occupancy rates were reported for...
Note: Please write down the formulas clearly. Thank you
The office occupancy rates were reported for four California
metropolitan areas.
Do the following data suggest that the office vacancies were
independent of the metropolitan area?
Run a hypothesis test at alpha of 0.05. What is your
conclusion?
Observed Frequencies
Occupancy Status/Metropolitan Area
Los Angeles
San Diego
San Francisco
San Jose
Total
Occupied
160
116
192
174
642
Vacant
40
34
33
26
133
Total
200
150
225
200
775
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