The age distribution of the Canadian population and the age distribution of a ra

Question

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. Age (years Under 5 5 to 14 15 to 64 65 and older Observed Number in the Village 49 75 288 43 Percent of Canadian Population 7.2% 13.6% 67.1% 12.1% 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? 0.05 State the null and alternate hypotheses Ho: The distributions are the same H1: The distributions are the same Ho: The distributions are different. H1: The distributions are different. Ho: The distributions are different. H1: The distributions are the same H0: The distributions are the same H1: The distributions are different. (b) Find the value of the chi-square statistic for the sample. (Round your answer to three decimal places.)

Explanation / Answer

The statistical software output for this problem is:

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

Hence,

b) Chi - square statistic = 14.453

N DF Chi-Square P-value 455 3 14.452806 0.0023

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