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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The solution contains a Chi-Square test for Independence.
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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 ...
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