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