Office occupancy in a city is an indication of the economic health of the region in which it is located. Suppose a random sample of offices in Boston and Chicago was selected and the number of vacancies was recorded. Round all answers to four decimal places.

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 Office occupancy in a city is an indication of the economic health of the region in which it is located. Suppose a random sample of offices in Boston and Chicago was selected and the number of vacancies was recorded. Round all answers to four decimal places.

City
Vacant Not Vacant Total
Boston
24
129
153
Chicago
14
108
122
Total
38
237
275
Our research question is, "Is there a difference in the vacancy rates for these two cities?"
1. What are the hypotheses for testing whether there is a difference?
Ho: The variables City and Vacancy
are independent
v. The difference in the vacancy rates in the sample data
is
v due to chance.
The variables are
HA:
not independent v. The difference in the vacancy rates is not v due to chance.
2. Calculate the difference in vacancy rates for these two cities: P Boston- PChicago
3. The paragraph below describes the setup for a randomization test.
We write Boston on
cards and Chicago on
cards. Then we shuffle the cards and split them into two groups: one group
of size
representing vacant offices and one group of size
representing occupied offices.
We calculate the proportion of Boston offices that are vacant and subtract the proportion of Chicago offices that are vacant to get P Boston.sim'
PChicagosim and build a histogram of this simulated differences. Use the Two Proportion Resampling Test app embedded below to do this.
Transcribed Image Text:City Vacant Not Vacant Total Boston 24 129 153 Chicago 14 108 122 Total 38 237 275 Our research question is, "Is there a difference in the vacancy rates for these two cities?" 1. What are the hypotheses for testing whether there is a difference? Ho: The variables City and Vacancy are independent v. The difference in the vacancy rates in the sample data is v due to chance. The variables are HA: not independent v. The difference in the vacancy rates is not v due to chance. 2. Calculate the difference in vacancy rates for these two cities: P Boston- PChicago 3. The paragraph below describes the setup for a randomization test. We write Boston on cards and Chicago on cards. Then we shuffle the cards and split them into two groups: one group of size representing vacant offices and one group of size representing occupied offices. We calculate the proportion of Boston offices that are vacant and subtract the proportion of Chicago offices that are vacant to get P Boston.sim' PChicagosim and build a histogram of this simulated differences. Use the Two Proportion Resampling Test app embedded below to do this.
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