Answered: What is the level of significance?…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

See similar textbooks

Related questions

Concept explainers

Question

The age distribution of the Canadian population and the age distribution of a random sample of 455 residents in the Indian community of Red Lake Village (Northwest Territories) are shown below.

Age (years)	Percent of Canadian Population	Observed Number in Red Lake Village
Under 5	7.2%	47
5 to 14	13.6%	75
15 to 64	67.1%	288
65 and older	12.1%	45

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 (To provide your answer, please provide the following information).

What is the level of significance? State the null and alternate hypotheses.
Find the value of the chi-square statistic for the sample. Are all the expected frequencies greater than 5? What sampling distribution will you use? What are the degrees of freedom?
Find or estimate the P-value of the sample test statistic.
Based on your answers in parts (a), (b), and (c), will you reject or fail to reject the null hypothesis that the population fits the specified distribution of categories?

Expert Solution

Working

%	Observed	Expected	(O-E)^2	(O-E)^2/E
0.072	47	32.76	202.7776	6.189792
0.136	75	61.88	172.1344	2.781745
0.671	288	305.305	299.463	0.980865
0.121	45	55.055	101.103	1.8364

Trending now

This is a popular solution!

Step by step

Solved in 2 steps with 2 images

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

$Point Estimation, Limit Theorems, Approximations, and Bounds$

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, statistics and related others by exploring similar questions and additional content below.

Similar questions