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Suppose the Age Distribution of the Canadian Population and the Age

Question 13

Multiple Choice

Suppose the age distribution of the Canadian population and the age distribution of a random sample of 406 residents in the Indian community of Red Lake are shown below. Use to test the claim that the age distribution of the general Canadian population fits the age distribution of the residents of Red Lake Village. Given a value of 10.369 for , find (or estimate) the P-value of the sample test statistic.
 Observed Number  Age (years)   Percent of Canadian Population  in Red Lake Village  Under 55.9%135 to 1410.6%3115 to 6472.4%31865 and older 11.1%44\begin{array} { l l l } & & \text { Observed Number } \\\text { Age (years) } & \text { Percent of Canadian Population } & \text { in Red Lake Village } \\\hline \text { Under } 5 & 5.9 \% & 13 \\5 \text { to } 14 & 10.6 \% & 31 \\15 \text { to } 64 & 72.4 \% & 318 \\65 \text { and older } & 11.1 \% & 44\\\hline\end{array} α=0.1\alpha = 0.1 χ2\chi ^ { 2 }


A) 0.05 < P-Value < 0.10
B) 0.10 < P-Value < 0.25
C) 0.005 < P-Value < 0.01
D) 0.01 < P-Value < 0.025
E) P-Value < 0.005

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