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he age distribution of the Canadian population and the age distribution of a random sample of 455 residents in the Indian community of a v Observed Number in the Village Age (years) Under 5 5 to 14 15 to 64 Percent of Canadian Population 7.2% 13.6% 67.1% 49 82 274 50 65 and older 12.1% A USE SALT

he age distribution of the Canadian population and the age distribution of a random sample of 455 residents in the Indian community of a v Observed Number in the Village Age (years) Under 5 5 to 14 15 to 64 Percent of Canadian Population 7.2% 13.6% 67.1% 49 82 274 50 65 and older 12.1% A USE SALT

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
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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. Observed Number Age (years) Under 5 Percent of Canadian Population in the Village 7.2% 49 5 to 14 13.6% 82 67.1% 274 50 15 to 64 65 and older 12.1% A USE SALT 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? State the null and alternate hypotheses. O Ho: The distributions are the same. H,: The distributions are different. O Ho: The distributions are the same. H,: The distributions are the same. O Ho: The distributions are different. H,: The distributions are the same. O Ho: The distributions are different. H,: The distributions are different. (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 Yes O No What sampling distribution will you use? O binomial O uniform O chi-square O normal O Student's t What are the degrees of freedom?
Transcribed Image Text: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. Observed Number Age (years) Under 5 Percent of Canadian Population in the Village 7.2% 49 5 to 14 13.6% 82 67.1% 274 50 15 to 64 65 and older 12.1% A USE SALT 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? State the null and alternate hypotheses. O Ho: The distributions are the same. H,: The distributions are different. O Ho: The distributions are the same. H,: The distributions are the same. O Ho: The distributions are different. H,: The distributions are the same. O Ho: The distributions are different. H,: The distributions are different. (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 Yes O No What sampling distribution will you use? O binomial O uniform O chi-square O normal O Student's t What are the degrees of freedom?
H: The distributions are the same. O Ho: The distributions are different. H: The distributions are different. (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 Yes O No What sampling distribution will you use? O binomial O uniform O chi-square O normal O Student's t What are the degrees of freedom? (c) Estimate the P-value of the sample test statistic. OP-value > 0.100 O 0.050< P.value < 0.100 O 0.025 < Pvalue < 0.050 O 0.010< p-value < 0.025 0.005<P-value < 0.010 OPvalue < 0.005 (d) Based on your answers in parts (a) to (c), will you reject or fail to reject the null hypothesis that the population fits the specifled distribution of categories? O Since the P-value > a, we fail to reject the null hypothesis. O Since the P-value > a, we reject the null hypothesis. O Since the Pvalue s a, we reject the null hypothesis. O Since the Pvalue s a, we fail to reject the null hypothesis. (e) Interpret your conclusion in the context of the application. O At the 5% level of significance, the evidence is insufficient to conclude that the village population does not fit the general Canadian population. O At the 5% level of significance, the evidence is sufficient to conclude that the village population does not fit the general Canadian population.
Transcribed Image Text:H: The distributions are the same. O Ho: The distributions are different. H: The distributions are different. (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 Yes O No What sampling distribution will you use? O binomial O uniform O chi-square O normal O Student's t What are the degrees of freedom? (c) Estimate the P-value of the sample test statistic. OP-value > 0.100 O 0.050< P.value < 0.100 O 0.025 < Pvalue < 0.050 O 0.010< p-value < 0.025 0.005<P-value < 0.010 OPvalue < 0.005 (d) Based on your answers in parts (a) to (c), will you reject or fail to reject the null hypothesis that the population fits the specifled distribution of categories? O Since the P-value > a, we fail to reject the null hypothesis. O Since the P-value > a, we reject the null hypothesis. O Since the Pvalue s a, we reject the null hypothesis. O Since the Pvalue s a, we fail to reject the null hypothesis. (e) Interpret your conclusion in the context of the application. O At the 5% level of significance, the evidence is insufficient to conclude that the village population does not fit the general Canadian population. O At the 5% level of significance, the evidence is sufficient to conclude that the village population does not fit the general Canadian population.
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