Suppose the Age Distribution of the Canadian Population and the Age

Suppose the age distribution of the Canadian population and the age distribution of a random sample of 454 residents in the Indian community of Red Lake are shown below. $$\begin{array} { l l l } & & \text { Observed Number } \\\text { Age (years) } & \text { Percent of Canadian Population } & \text { in Red Lake Village } \\\hline \text { Under } 5 & 8.9 \% & 34 \\5 \text { to } 14 & 14.1 \% & 58 \\15 \text { to } 64 & 62.4 \% & 302 \\65 \text { and older } & 14.6 \% & 60 \\\hline\end{array}$$ 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. Will you reject or fail to reject the null hypothesis that the population fits the specified distribution of categories?
$$\alpha = 0.05$$

A) Since the P-Value is less than $\alpha$ , we reject the null hypothesis that the variables are independent in favor of the alternate hypothesis that the variables are not independent.
B) Since the P-Value is greater than $\alpha$ , we fail to reject the null hypothesis that the variables are not independent in favor of the alternate hypothesis that the variables are independent.
C) Since the P-Value is less than $\alpha$ , we fail to reject the null hypothesis that the variables are independent in favor of the alternate hypothesis that the variables are not independent.
D) Since the P-Value is less than $\alpha$ , we reject the null hypothesis that the variables are not independent in favor of the alternate hypothesis that the variables are independent.
E) Since the P-Value is greater than $\alpha$ , we reject the null hypothesis that the variables are not independent in favor of the alternate hypothesis that the variables are independent.