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Apply the Chi-Square Goodness-Of-Fit Test The Value of the Chi-Square Test Statistic Is
A

Question 4

Short Answer

Apply the Chi-Square goodness-of-fit test.
-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 89121782512\begin{array}{l|c|c|c|c|c}\text { Type of Property } & \text { Condos } & \text { Townhouses } & \text { Homes } & \text { Commercial } & \text { Land } \\\hline \text { Frequency } & 89 & 121 & 78 & 25 & 12\end{array}

The value of the Chi-square test statistic is
A. χ2=5.993\chi ^ { 2 } = 5.993
B. χ2=62.538\chi ^ { 2 } = 62.538
C. χ2=101.482\chi ^ { 2 } = 101.482
D. χ2=77.431\chi ^ { 2 } = 77.431
E. χ2=8.101\chi ^ { 2 } = 8.101

Correct Answer:

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