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In: Statistics and Probability

The age distribution of the Canadian population and the age distribution of a random sample of...

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%                   52            
5 to 14 13.6%                   80            
15 to 64 67.1%                   281            
65 and older 12.1%                   42            

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

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