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 in the Village Age (years) Under 5 5 to 14 15 to 64 65 and older USE SALT Percent of Canadian Population 7.2% 13.6% State the null and alternate hypotheses. O Ho: The distributions are the same. H₁: The distributions are different. O Ho: The distributions are different. H₁: The distributions are the same. O Ho: The distributions are different. H₁: The distributions are different. 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 the same. 67.1% 12.1% (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 uniform chi-square binomial Student's t 46 80 283 46

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
icon
Related questions
Question
(c) Estimate the P-value of the sample test statistic.
OP-value > 0.100
O 0.050 < P-value < 0.100
0.025 < P-value < 0.050
O 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.
Since the P-value > α, we reject the null hypothesis.
Since the P-values a, we reject the null hypothesis.
Since the P-values 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:(c) Estimate the P-value of the sample test statistic. OP-value > 0.100 O 0.050 < P-value < 0.100 0.025 < P-value < 0.050 O 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. Since the P-value > α, we reject the null hypothesis. Since the P-values a, we reject the null hypothesis. Since the P-values 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.
Observed Number
in the Village
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%
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.
Ho: The distributions are the same.
H₁: The distributions are different.
O
Ho: The distributions are different.
H₁: The distributions are the same.
O Ho: The distributions are different.
H₁: The distributions are different.
O Ho: 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 decimal places.)
Are all the expected frequencies greater than 5?
Yes
O No
46
80
283
46
What sampling distribution will you use?
O uniform
O chi-square
binomial
Student's t
normal
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 in the Village 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% 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. Ho: The distributions are the same. H₁: The distributions are different. O Ho: The distributions are different. H₁: The distributions are the same. O Ho: The distributions are different. H₁: The distributions are different. O Ho: 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 decimal places.) Are all the expected frequencies greater than 5? Yes O No 46 80 283 46 What sampling distribution will you use? O uniform O chi-square binomial Student's t normal What are the degrees of freedom?
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps with 2 images

Blurred answer
Similar questions
Recommended textbooks for you
MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
Probability and Statistics for Engineering and th…
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
Statistics for The Behavioral Sciences (MindTap C…
Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
Elementary Statistics: Picturing the World (7th E…
Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON
The Basic Practice of Statistics
The Basic Practice of Statistics
Statistics
ISBN:
9781319042578
Author:
David S. Moore, William I. Notz, Michael A. Fligner
Publisher:
W. H. Freeman
Introduction to the Practice of Statistics
Introduction to the Practice of Statistics
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman