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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 are shown below. Observed Number in the Village Age (years) Percent of Canadian Population Under 5 7.2% 46 5 to 14 13.6% 82 15 to 64 67.1% 280 65 and older 12.1% 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? State the null and alternate hypotheses. O Ho: The distributions are the same. H: The distributions are the same. O Ho: The distributions are different. H: The distributions are different. O Ho: The distributions are different. H,: The distributions are the same. O Ho: The distributions are the same. H: The distributions are different. (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? O Yes O No What sampling distribution will you use? binomial O normal O Student's t O uniform chi-square What are the degrees of freedom?

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 Age (years) Percent of Canadian Population Under 5 7.2% 46 5 to 14 13.6% 82 15 to 64 67.1% 280 65 and older 12.1% 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? State the null and alternate hypotheses. O Ho: The distributions are the same. H: The distributions are the same. O Ho: The distributions are different. H: The distributions are different. O Ho: The distributions are different. H,: The distributions are the same. O Ho: The distributions are the same. H: The distributions are different. (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? O Yes O No What sampling distribution will you use? binomial O normal O Student's t O uniform chi-square What are the degrees of freedom?

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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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 are shown below. Observed Number Age (years) Under 5 5 to 14 Percent of Canadian Population 7.2% in the Village 46 13.6% 82 15 to 64 65 and older 67.1% 280 12.1% 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? State the null and alternate hypotheses. O Ho: The distributions are the same. H: The distributions are the same. O Ho: The distributions are different. H,: The distributions are different. O Ho: The distributions are different. H,: The distributions are the same. O Ho: The distributions are the same. H: The distributions are different. (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? O Yes O No What sampling distribution will you use? binomial O normal O Student's t O uniform O chi-square What are the degrees of freedom?
Transcribed Image Text: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 Age (years) Under 5 5 to 14 Percent of Canadian Population 7.2% in the Village 46 13.6% 82 15 to 64 65 and older 67.1% 280 12.1% 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? State the null and alternate hypotheses. O Ho: The distributions are the same. H: The distributions are the same. O Ho: The distributions are different. H,: The distributions are different. O Ho: The distributions are different. H,: The distributions are the same. O Ho: The distributions are the same. H: The distributions are different. (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? O Yes O No What sampling distribution will you use? binomial O normal O Student's t O uniform O chi-square What are the degrees of freedom?
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