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    Chi-Square test for Independence

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    Problem 5.
    You are asked to conduct a study to determine if gender has any bearing on the choice of a dog or cat as a pet. You take a random sample of 350 adults and ask each what kind of pet they would prefer, a dog or a cat? The results of your poll are summarized in the following contingency table:

    Male Female
    Dog 70 99
    Cat 80 101

    Test the independence of gender and preferred pet at a 5% level. Explain your conclusion (don't just say "can't reject Ho" or "gender is not independent of pet choice").

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    Solution Preview

    Please see the attachment for solution. If you need any further clarification please ask me. Thank you.

    Let A denote the factor corresponding to Gender and B denotes the factor corresponding to preferred pet. Here we want to test the hypothesis H0: the factor gender and the factor preferred pet are ...

    Solution Summary

    The solution contains a Chi-Square test for Independence.