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. Age (years) Under 5 5 to 14 15 to 64 65 and older USE SALT Percent of Canadian Population 7.2% 13.6% 67.1% 12.1% State the null and alternate hypotheses. O Ho: The distributions are different. H₁: The distributions are the same. OHO: The distributions are the same. H₁: The distributions are the same. Ho: The distributions are different. H₁: The distributions are different. 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? OH: The distributions are the same. H₁: The distributions are different. Observed Number in the Village 51 84 275 45 Are all the expected frequencies greater than 5? Yes Ο No (b) Find the value of the chi-square statistic for the sample. (Round your answer to three decimal places.)
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. Age (years) Under 5 5 to 14 15 to 64 65 and older USE SALT Percent of Canadian Population 7.2% 13.6% 67.1% 12.1% State the null and alternate hypotheses. O Ho: The distributions are different. H₁: The distributions are the same. OHO: The distributions are the same. H₁: The distributions are the same. Ho: The distributions are different. H₁: The distributions are different. 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? OH: The distributions are the same. H₁: The distributions are different. Observed Number in the Village 51 84 275 45 Are all the expected frequencies greater than 5? Yes Ο No (b) Find the value of the chi-square statistic for the sample. (Round your answer to three decimal places.)
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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100%
Transcribed Image Text:What sampling distribution will you use?
Student's t
uniform
chi-square
Obinomial
normal
What are the degrees of freedom?
(c) Estimate the P-value of the sample test statistic.
OP-value> 0.100
0.050 < P-value < 0.100
0.025< P-value < 0.050
0.010< P-value < 0.025
O 0.005< P-value < 0.010
OP-value < 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 specified 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 P-value ≤ a, we reject the null hypothesis.
O Since the P-value ≤ 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: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.
Age (years)
Under 5
5 to 14
15 to 64
65 and older
USE SALT
Percent of Canadian Population
7.2%
13.6%
67.1%
12.1%
State the null and alternate hypotheses.
O Ho: The distributions are different.
H₁: The distributions are the same.
OHO: The distributions are the same.
H₁: The distributions are the same.
Ho: The distributions are different.
H₁: The distributions are different.
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?
Ho: The distributions are the same.
H₁: The distributions are different.
No
Observed Number
in the Village
Are all the expected frequencies greater than 5?
Yes
51
84
275
45
(b) Find the value of the chi-square statistic for the sample. (Round your answer to three decimal places.)
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