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. Observed Number in the Village Percent of Canadian Population 7.2% Age (years) Under 5 5 to 14 15 to 64 65 and older 49 13.6% 67.1% 12.1% 73 286 47 A USE SALT 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. O Ho: The distributions are different. H,: The distbutions are the same. O Ho: The distributions are the same. H,: The distributions are different. O Ho: The distributions are different. H,: The distributions are different. O Ho: The distributions are the same. H,: The distributions are the same. (b) Find the value of the chi-square statistic for the sample. (Round your answer to three decimal places.) 12.45 Are all the expected frequencies greater than 5? O Yes O No What sampling distribution will you use? O Student'st O binomial O normal

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