distribution of distribution of a random sample of 455 m Observed Number Age (years) Percent of Canadian Population in the Village Under 5 7.24 4H 5 to 14 13.69 67 15 to 64 67.1% 299 65 and older 12. 1% 41 Use a 5%% level of significance to test the daim that the age distribution of the general Canadian population fits the age distribution of the residents of Red Lake Village. (2) What is the level of significance? State the null and alternate hypotheses. He: The distributions are different. H : The distributions are different. D H.: The distributions are different. H : The distributions are the same. O H: The distributions are the same. H : The distributions are different. O Hy: The distributions are the same. H : The distributions are the same. (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 No What sampling distribution will you use? nomal O Student's t 0 binomial Q chi-square O uniform What are the degrees of freedom? (c) Find or estimate the Pivalue of the sample test statistic. (Round your answer to four decimal places.) (dj Based on your answers in parts (a) to (c), will you reject or fall to reject the null hypothesis that the population fits the specified distribution of categories? O Since the P-value > in, we fall to reject the null hypothesis. 0 Since the P-value > a, we reject the null hypothesis. 0 Since the P-value S a, we reject the null hypothesis. 0 Since the P-value S in, we fall to reject the null hypothesis. (el Interpret your condusion in the context of the application. O At the 5% level of significance, the evic ence is insufficient to conclude that the village population does not fit the general Canadian population. ( At the 5%% level of significance, the evidence is sufficient to conclude that the village population does not fit the general Canadian population