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.)

Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter11: Data Analysis And Probability
Section11.4: Collecting Data
Problem 4E
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Question
100%
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: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.
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.)
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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