A random group of apartments was selected from a city to analyze the number of b

Question

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 Apartment 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

Explanation / Answer

The test hypothesis is Ho:equally distributed between One Bedroom Ha: not equally distributed between One Bedroom The test statistic is Chi-square= 1.824 degrees of freedom: 2 p-value:0.40171998 Given a=0.05, the critical value is X^2(0.95, df=2)=5.99 (check chisquare table) Since 1.824

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