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John considers to apply the Chi-Square Test of Independence to the variables Bathroom and Kitchen. Even before calculating the test statistic, he reasons as follows:

John considers to apply the "Chi-Square Test of Independence" to the variables Bathroom and Kitchen. Even before calculating the test statistic, he reasons as follows: "As I remember, most student apartments belong to one of the following two types: condominiums and 'real' apartments. In a condominium, you typically have to share both bathroom and kitchen with other students. In a 'real' apartment, you typically have both a private kitchen and a private bathroom". 4. If the sample evidence is consistent with John's reasoning, then what would this imply for the relationship between the observed frequencies Obsij, and the expected (under the null hypothesis of independence) frequencies Expij

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