Download the App!

Get 24/7 study help with the Numerade app for iOS and Android! Enter your email for an invite.

Get the answer to your homework problem.

Try Numerade free for 7 days

Like

Report

The office occupancy rates were reported for four California metropolitan areas. Do thefollowing data suggest that the office vacancies were independent of metropolitan area?Use a. 05 level of significance. What is your conclusion?$$ \begin{array}{l}{\text { Occupancy Status }} \\ {\text { Occupied }} \\ {\text { Vacant }}\end{array} $$$$ \begin{array}{cccc}{\text { Los Angeles }} & {\text { San Diego }} & {\text { San Francisco }} & {\text { San Jose }} \\ {160} & {116} & {192} & {174} \\ {40} & {34} & {33} & {26}\end{array} $$

Do not reject $H_{0}$

Intro Stats / AP Statistics

Chapter 11

Comparisons Involving Proportions and a Test of Independence

Descriptive Statistics

Confidence Intervals

The Chi-Square Distribution

Temple University

Piedmont College

Cairn University

Lectures

0:00

03:40

Use the data in the table …

10:59

The U.S. Census Bureau com…

02:13

For a sample of 40 large U…

07:20

Samples taken in three cit…

from here basically gives us the following data, and it wants us to used the threshold of 0.5 as our threshold here to determine whether or not these two office vacancies are independent off the metropolitan area. Here, in this particular case, were given both the observed, um, frequencies which are given in this table here. So for L. A. For example, STD s f and S J. It's gonna be 1 60 41 16 34 19 to 33 174 and 26 year. So we have eight. These are going to be are observed frequencies, definer expected frequencies. We basically need to take the sample size and multiplied by its proportion here. So after we do that, we can find value of chi squared, which is gonna be o minus e squared or the sun O minus C squared over E, which is going to give us a particular value. In this particular case, the degrees of freedom could be found by taking rose minus one, multiplied by columns minus one. So in this particular case, it will be tu minus one, multiplied by four minus one. So that's essentially gonna be three here, so we can put this into our tea table, and from here we can find the value of R. P. So what is going to be the P value is going to be obtained from a tea table. So tea table here, So therefore, based on the actual value that we get, we know that it's gonna be less sorry. Greater than 0.5 so greater than 0.5 and therefore week cannot, um, reject the null hypothesis here.

View More Answers From This Book

Find Another Textbook

Numerade Educator

06:12

The Wall Street Joumal Subscriber Study showed data on the employment status…

01:08

A sample of parts provided the following contingency table data on part qual…

02:44

Suppose that for a certain individual, calorie intake at breakfast is a rand…

10:41

As the price of oil rises, there is increased worldwide interest in alternat…

01:51

25. Flightstats, Inc., collects data onthe number of fights scheduled and th…

Barna Research Group collected data shoving church attendance by age group $…

13:26

To the Internal Revenue Service, the reasonableness of total itemized deduct…

09:03

Constaner Reports provided extensive testing and ratings for more than 100 $…

05:43

The data from exercise 2 follow.$$\begin{array}{r|ccccc}{x_{i}} &…

01:59

In exercise $8,$ data on $x=$ temperature rating $\left(\mathrm{F}^{\circ}\r…