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% 48 5 to 14 13.6% 83 15 to 64 67.1% 281 65 and older 12.1% 43 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.) What are the degrees of freedom? (c) Find or estimate the P-value of the sample test statistic. (Round your answer to four decimal places.)
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% 48 5 to 14 13.6% 83 15 to 64 67.1% 281 65 and older 12.1% 43 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.) What are the degrees of freedom? (c) Find or estimate the P-value of the sample test statistic. (Round your answer to four decimal places.)
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.
| Age (years) | Percent of Canadian Population | Observed Number in the Village |
| Under 5 | 7.2% | 48 |
| 5 to 14 | 13.6% | 83 |
| 15 to 64 | 67.1% | 281 |
| 65 and older | 12.1% | 43 |
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.)
What are the degrees of freedom?
(c) Find or estimate the P-value of the sample test statistic. (Round your answer to four decimal places.)
(c) Find or estimate the P-value of the sample test statistic. (Round your answer to four decimal places.)
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