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):

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.
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) Your conclusion in the context of the application.

Transcribed Image Text:

Age (Years)P Under 5 5 to 14 15 to 64 65 and older Percentage of Canadian Population 72% 13.6% 67.1% 12.1% Observed Number in Red Lake Village 47 75 288 45