Suppose the age distribution of the Canadian population and the age distribution of a random sample of 536 residents in the Indian community of Red Lake are shown below. Observed Number Age (years) Percent of Canadian Population in Red Lake Village Under 5 8.2% 62 5 to 14 12.1% 64 15 to 64 68.5% 366 65 and older 11.2% 44 Suppose that we 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. Verify that the value of is 11.707 , and find (or estimate) the P-value of the sample test statistic.
| relative | observed | Expected | Chi square | ||
| category | frequency(p) | Oi | Ei=total*p | R2i=(Oi-Ei)2/Ei | |
| under 5 | 0.082 | 62.0 | 536*0.082=43.95 | (62-43.95)^2/43.95=7.4110 | |
| 5-14 | 0.121 | 64.0 | 536*0.121 =64.86 | (64-64.86)^2/64.86=0.0113 | |
| 15-64 | 0.685 | 366.0 | 367.16 | 0.0037 | |
| 65 and older | 0.112 | 44.0 | 60.03 | 4.2815 | |
| total | 1.000 | 536 | 536 | 11.7075 | |
| test statistic X2 = | 11.707 | ||||
| degree of freedom =categories-1= | 3 | ||
from excel: p value =chidist(11.707,3)= 0.0085
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