The age distribution of the Canadian population
The age distribution of the Canadian population and the age distribution of a random sample of 455residents in the Indian community of a village are shown below.Observed NumberAge (years) Percent of Canadian Populationin the VillageUnder 57.2%455 to 1413.6%7415 to 6467.1%29065 and older12.1%46Use a 5% level of significance to test the claim that the age distribution of the general Canadianpopulation fits the age distribution of the residents of Red Lake Village.(a) What is the level of significance? State the null and alternate hypotheses. CHOOSE ONE1. H0: The distributions are different.H1: The distributions are different.2. H0: The distributions are the same.H1: The distributions are different.3. H0: The distributions are different.H1: The distributions are the same. 4. H0: The distributions are the same.H1: The distributions are the same.(b) Find the value of the chi-square statistic for the sample. (Round your answer to three decimalplaces.) Are all the expected frequencies greater than 5?Yes NoWhat sampling distribution will you use?uniform normal binomial chi-square Student’s t What are the degrees of freedom? (c) Find or estimate the P-value of the sample test statistic. (Round your answer to three decimalplaces.) (d) Based on your answers in parts (a) to (c), will you reject or fail to reject the null hypothesis that thepopulation fits the specified distribution of categories? CHOOSE ONESince the P-value > ?, we fail to reject the null hypothesis.Since the P-value > ?, we reject the null hypothesis.Since the P-value ? ?, we reject the null hypothesis.Since the P-value ? ?, we fail to reject the null hypothesis.(e) Interpret your conclusion in the context of the application. CHOOSE ONEAt the 5% level of significance, the evidence is insufficient to conclude that the village populationdoes not fit the general Canadian population.At the 5% level of significance, the evidence is sufficient to conclude that the village populationdoes not fit the general Canadian population.
