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

Question 38

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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 a=0.05a = 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 182826\begin{array} { r | l l l } & \text { Live with Parent } & \text { Rent Apartment } & \text { Own Home } \\\hline \text { Male } & 20 & 26 & 19 \\\text { Female } & 18 & 28 & 26\end{array}


A) Reject the null hypothesis. There is sufficient evident to warrant rejection of the claim that living accommodation and gender are independent.
B) Reject the null hypothesis. There is not sufficient evident to warrant rejection of the claim that living accommodation and gender are independent.
C) Fail to reject the null hypothesis. There is sufficient evident to warrant rejection of the claim that living accommodation and gender are independent.
D) Fail to reject the null hypothesis. There is not sufficient evident to warrant rejection of the claim that living accommodation and gender are independent.

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