Question

In: Statistics and Probability

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

Expert Solution

Null hypothesis : H_o : Office vacancies were independent of the metropolitan area

Alternate Hypothesis : H_a : Office vacancies were not independent of the metropolitan area

Test Statistic :

O : Observed Frequency

E: Expected Frequency

Expected Frequencies
Occupancy Status/Metropolitan Area	Los Angeles	San Diego	San Francisco	San Jose	Total
Occupied	(642*200)/775	(642*150)/775	(642*225)/775	(642*200)/775	642
Vacant	(133*200)/775	(133*150)/775	(133*225)/775	(133*200)/775	133
Total	200	150	225	200	775

Expected Frequencies
Occupancy Status/Metropolitan Area	Los Angeles	San Diego	San Francisco	San Jose	Total
Occupied	165.6774	124.2581	186.3871	165.6774	642
Vacant	34.3226	25.7419	38.6129	34.3226	133
Total	200	150	225	200	775

O	E	O-E	(O-E)²	(O-E)²/E
160	165.6774	-5.6774	32.2331	0.1946
40	34.3226	5.6774	32.2331	0.9391
116	124.2581	-8.2581	68.1956	0.5488
34	25.7419	8.2581	68.1956	2.6492
192	186.3871	5.6129	31.5047	0.1690
33	38.6129	-5.6129	31.5047	0.8159
174	165.6774	8.3226	69.2653	0.4181
26	34.3226	-8.3226	69.2653	2.0181
			Total	7.7528

Test Statistic :

Degrees of freedom = (number of rows -1)*(Number of columns - 1) = (2-1)*(4-1) = 3

for 3 degrees of freedom ,

As p-value : 0.0514 > level of significance : : 0.05 ; Fail to reject the null hypothesis.

These is not sufficient for the data to suggest that the Office vacancies were not independent of the metropolitan area.

p-value is computed using the excel function : CHISQ.DIST.RT

CHISQ.DIST.RT function

Returns the right-tailed probability of the chi-squared distribution.

The χ2 distribution is associated with a χ2 test. Use the χ2 test to compare observed and expected values. For example, a genetic experiment might hypothesize that the next generation of plants will exhibit a certain set of colors. By comparing the observed results with the expected ones, you can decide whether your original hypothesis is valid.

Syntax

CHISQ.DIST.RT(x,deg_freedom)

The CHISQ.DIST.RT function syntax has the following arguments:

X Required. The value at which you want to evaluate the distribution.
Deg_freedom Required. The number of degrees of freedom.

orchestra answered 1 year ago

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

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

a.) Write down the formulas for all homomorphisms from Z10 into Z25. b.)Write down the formulas...

a.) Write down the formulas for all homomorphisms from Z10 into Z25. b.)Write down the formulas for all homomorphisms from Z24 into Z18. c.)Write down the formulas for all homomorphisms from Z into Z10. d.)Extra: Define φ : C x → Rx by φ(a + bi) = a 2 + b 2 for all a + bi ∈ C x where R is the real numbers and C is the complex numbers. Show that φ is a homomorphism.

please read the soap note below and write a presentation for it thank you (case presentation)...

please read the soap note below and write a presentation for it thank you (case presentation) Joanne Bennett, 29 yr old Caucasian woman CC: “I have a cough that won’t go away.” S) HPI: c/o cough for one month. It began suddenly. Noticed that it started around the beginning of spring as weather became warmer. Becomes worse when goes outside, especially at night. Symptoms worse at night and often wakes with coughing. On two occasions coughing fits have caused her...

please do it step by step with the use of formulas , thank you.. The following...

please do it step by step with the use of formulas , thank you.. The following are monthly percentage price changes for four market indexes. Month DJ SP500 1 0.03 0.02 2 0.07 0.06 3 −0.02 −0.01 4 0.01 0.03 5 0.05 0.04 6 −0.06 −0.04 Russ500 Nicky 0.04 0.04 0.10 −0.02 −0.04 0.07 0.03 0.02 0.11 0.02 −0.08 0.06 (17 points) Compute the following. a. Average monthly rate of return for each index b. Standard deviation for each index...

Using Loops for the Hotel Occupancy calculator. You will write a program that calculates the occupancy...

Using Loops for the Hotel Occupancy calculator. You will write a program that calculates the occupancy of a hotel. Rules: 1# The hotel must have more than 2 floors and less than or equal 5 floors. 2# Each floor in the hotel can have a different number of rooms on the floor. 3# You must set the number of occupied rooms. Again, there must less rooms occupied than the number of rooms. 4# Using the total number of rooms and...

Please write down all formulas needed to solve and explanation of each formula for Probability, Discrete...

Please write down all formulas needed to solve and explanation of each formula for Probability, Discrete random variables and their distribution, and continuous distribution. ie from permutation and combination to bayes theorem to binomial. reference to probabilty and statistics for computer scientists 2nd edition. thanks

For Astronomy class, please answer this question clearly, thank you. Describe the similarities and the diﬀerences...

For Astronomy class, please answer this question clearly, thank you. Describe the similarities and the diﬀerences between the mechanisms by which Terrestrial and Jovian planets generate their magnetic ﬁelds.

PLEASE PROVIDE ALL SOLUTIONS USING MICROSOFT EXCEL WITH ANY RELEVANT FORMULAS, thank you! You are an...

*PLEASE PROVIDE ALL SOLUTIONS USING MICROSOFT EXCEL WITH ANY RELEVANT FORMULAS, thank you!* You are an analyst in charge of valuing common stocks. You have been asked to value two stocks. The first stock AB Inc. just paid a dividend of $4.50. The dividend is expected to increase by 60%, 40%, 30% and 10% per year respectively in the next four years. Thereafter the dividend will increase by 4% per year in perpetuity. The second stock is CD Inc. CD...