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A Survey of Students at a College Was Asked If α=0.05\alpha = 0.05

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A survey of students at a college was asked if they lived at home with their parents, rented an apartment, or owned their own home. The results are shown in the table below sorted by gender. At α=0.05\alpha = 0.05 test the claim that living accommodations are independent of the gender of the student.
 Live with Parent  Rent Apartment  Own Home  Male 202619 Female 182830\begin{array} { r | c c c } & \text { Live with Parent } & \text { Rent Apartment } & \text { Own Home } \\\hline \text { Male } & 20 & 26 & 19 \\\text { Female } & 18 & 28 & 30\end{array}

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H0: Living accommodations and gender are ...

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