ID: A 5. Suppose the age distribution of the Canadian population and the age dis

Question

ID: A 5. 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 Observed Number Age (years) Percent of Canadian Population in Red Lake Village Under S 5 to 14 15to64 62.4% 8.9% 14.1% 34 58 302 60 oS to test the claim that the age distribution of the general Canadian population fits the age distribution of tbe residents of Red Lake Village Will you hypothesis that the population fits the specified distribution of categories? A) Since the P-Value is less than a, we reject the null hypothes reject or fail to reject the null is that the variables are independent in favor of the alternate hypothesis that the variables are not independent Since the P-Value B) is greater than a, we fail to reject the null hypotbesis 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 a, we fail to reject the null bypothbesis that the D) Since the P-Value is less than a, we reject the null hypothesis that the variables E) Since the P-Value is greater than a we reject the null hypothesis that the variables variables are independent in favor of the alternste hypothesis that the variables are not independent. are not independent in favor of the alternate hypothesis that the variables are independent are not independent in favor of the altemate hypothesis that the variables are independent

Explanation / Answer

Here We will use chi- square test for goodness for fit test.

The total number of people sampled = 454 (sum of all numbers)

We will get expected values by taking percentage .

Here Chi - square X2 = 3.4113

dF = 3 and alpha = 0.05

Xcr 2 = 7.814

so X2 <  Xcr 2   

P - value = CHITEST (Observed, Expected) = 0.33

so by option we can say that

Since the p - value is greater than alpha, so we cannot reject the null hypothesis. Option b is correct.

Age(years) Observed (O) Expected (E) (O - E)^2/E under 5 34 40.406 1.0156 5 to 14 58 64.014 0.5650 15 to 64 302 283.296 1.2349 65 and older 60 66.284 0.5957 Sum 454 454 3.4113

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