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Can we reject the hypothesis that apartments are equally distributed between one, two and three bedrooms?

A random group of apartments was selected from a city to analyze the number of bedrooms they have. Is there evidence to reject the hypothesis that the apartments are equally distributed between One Bedroom, Two Bedrooms, and Three Bedrooms apartments, at = .05?
Types of Apartments One Bedroom Two Bedrooms Three Bedrooms

Number of Apt Types 9 10 15

A.There is not evidence to reject the claim that the apartments are equally distributed between the three sizes because the test value 7.815 > 1.83
B. There is not evidence to reject the claim that the apartments are equally distributed between the three sizes because the test value 1.83 < 5.991
C. There is evidence to reject the claim that the apartments are equally distributed between the three sizes because the test value 1.83 > 5.991
D. There is evidence to reject the claim that the apartments are equally distributed between the three sizes because the test value 1.83 > 7.815

Solution Preview

Please see attached file for solution.

Answer: B. There is not evidence to reject the claim that the apartments are equally distributed between the three sizes because the test value 1.83 < 5.991

We will us chi square test
For equal distribution, all types are equally likely, hence expected frequency = 34/3= 11.333

Type of Apartments f0 fe
...

Solution Summary

This solution shows how to do a chi-square test and decide on the correct conclusion in an attached Excel file.

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