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?

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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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