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A Researcher Wants to Determine If the Number of Minutes χ2\chi ^ { 2 }

Question 20

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A researcher wants to determine if the number of minutes spent watching television per day is independent of gender. A random sample of 315 adults was selected and the results are shown below. Calculate the chi -square statistic χ2\chi ^ { 2 } to determine if there is enough evidence to conclude that the number of minutes spent watching television per day is related to gender. Use α=0.05\alpha = 0.05 .
 Gender \text { Gender } \quad  Minutes spent watching TV per day  \text { Minutes spent watching TV per day }
0303060609090 over  Male 25357545 Female 30454515\begin{array} { l | c c c c } \hline & 0 - 30 & 30 - 60 & 60 - 90 & 90 - \text { over } \\\text { Male } & 25 & 35 & 75 & 45 \\\text { Female } & 30 & 45 & 45 & 15\end{array}


A) 18.146
B) 19.874
C) 20.912
D) 21.231

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