A real estate agency, located in a metropolitan area in the northeastern U.S., kept data
on the various types of properties purchased in the area. Historically, 15% of purchases
were for condominiums, 30% were for townhouses, 40% for single family homes, 10%
for commercial properties and 5% for land. With changing demographics, the agency
wondered if the current distribution matches the historical distribution. Recent data
showed the following:
Type of Property Condos Townhouses Homes Commercial Land
Frequency 89 121 78 25 12
A. State appropriate hypotheses to test whether the purchasing agent is correct.
b. What is the value of the test statistic and its associated P-value?
c. State the conclusion at α = .05.

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The Answer of A real estate agency, located in a metropolitan area in the northeastern U.S., kept data
on the various types of properties purchased in the area. Historically, 15% of purchases
were for condominiums, 30% were for townhouses, 40% for single family homes, 10%
for commercial properties and 5% for land. With changing demographics, the agency
wondered if the current distribution matches the historical distribution. Recent data
showed the following:
Type of Property Condos Townhouses Homes Commercial Land
Frequency 89 121 78 25 12
A. State appropriate hypotheses to test whether the purchasing agent is correct.
b. What is the value of the test statistic and its associated P-value?
c. State the conclusion at α = .05.

A Real Estate Agency, Located in a Metropolitan Area in the Northeastern