Suppose the age distribution of the Canadian population and the age distribution

Question

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.

Age (years)

Under 5

5 to 14

15 to 64

65 and older

Percent of Canadian Population

5.9
10.6
72.4
11.1

Observed Number
in Red Lake Village

13
31
318
44

Use a = 0.1 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 X2, find (or estimate) the
P-value of the sample test statistic.

0.05 < P-Value < 0.10

0.10 < P-Value < 0.25

0.005 < P-Value < 0.01

0.01 < P-Value < 0.025

P-Value < 0.005

Explanation / Answer

Here, the value of the test-statistic = 10.369.

p-value = P(X > 10.369), where X follows chi-square distribution with (4-1) I.e. 3 d.f

= 0.02.

Thus, 0.01 < p-value < 0.025. (Ans).

T

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