For Problems 5-14, please provide the following information.
(a) What is the level of significance? State the null and alternate hypotheses.
(b) Find the value of the chi-square statistic for the sample. Are all the expected frequencies greater than 5? What sampling distribution will you use? What are the degrees of freedom?
(c) Find or estimate the P-value of the sample test statistic.
(d) Based on your answers in parts (a)-(c), will you reject or fail to reject the null hypothesis that the population fits the specified distribution of categories?
(e) Interpret your conclusion in the context of the application
Census: Age The age distribution of the Canadian population and the age distribution of a random sample of 455 residents in the Indian community of Red Lake Village (Northwest Territories) are shown below (based on U.S. Bureau of the Census. International Data Base):
Age (Years) | Percentage of Canadian Population | Observed Number in Red Lake Village |
Under 5 | 7.2% | 47 |
5 to 14 | 13.6% | 75 |
15 to 64 | 67.1% | 288 |
65 and older | 12.1% | 45 |
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.
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Chapter 11 Solutions
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