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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

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) Percent of Canadian Population Observed Number in the Village
Under 5 7.2% 44
5 to 14 13.6% 85
15 to 64 67.1% 276
65 and older 12.1% 50

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?

(b) Find the value of the chi-square statistic for the sample. (Round your answer to three decimal places.)

(c) What are the degrees of freedom? (d) Estimate theP-value of the sample test statistic.

P-value > 0.1000.050 <P-value < 0.100 0.025 <P-value < 0.0500.010 <P-value < 0.0250.005 <P-value < 0.010P-value < 0.005

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