11 10.2.005 My The age distribution of the Canadian population and the age distr

Question

11 10.2.005 My The age distribution of the Canadian population and the age distribution of a random sample of 455 residents in the Indian community of a village are shown below. rs) Percent of Canadian Population 5 to 14 15 to 64 65 and older 13.6% 67.1% 12.1% in the Village 43 75 293 Use a 5% level of significance to test the claim that the age distribution of the general Canadian population fits the age distribution of the residents of Red Lake Village. a) What is the level of significance? State the null and alternate hypotheses OHo: The distributions are different. H1: The distributions are different. H0: The distributions are the same. H1: The distributions are the same. O Ho: The distributions are the same. H1: The distributions are different. O Ho: The distributions are different. Hi: The distributions are the same. (b) Find the value of the chi-square statistic for the sample. (Round your answer to three decimal places.) Are all the expected frequencies greater than 5? n Yes O No

Explanation / Answer

The statistical software output for this problem is:

Chi-Square goodness-of-fit results:
Observed: Oi
Expected: Ei

Hence,

a) Level of significance = 0.05

Hypotheses: Option C is correct.

b) Test statistic = 8.698

Yes

chi - square

Degrees of freedom = 3

c) p - value = 0.0336

d) Option C is correct.

e) Option B is correct.

N DF Chi-Square P-value 455 3 8.6983021 0.0336

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