Already have an account? Get multiple benefits of using own account!
Login in your account..!
Remember me
Don't have an account? Create your account in less than a minutes,
Forgot password? how can I recover my password now!
Enter right registered email to receive password!
Test of homogeneity
This is concerned along with the proposition that several populations are homogenous along with respect to some characteristic of interest for example; one may be interested in knowing if raw material available from various retailers is homogenous. A random sample is drawn from each of the population and the number in each of sample falling into every category is determined. The sample data is shown in a contingency table
The analytical procedure is the similar as that discussed for the test of independence
Illustration
A random sample of 400 persons was selected from each of three age groups and every person was asked to specify which types of TV programs are preferred. The results are displayed in the given table
Kind of program
Age group
A
B
C
Total
Under 30
120
30
50
200
30 - 44
10
75
15
100
45 and above
60
140
135
125
400
Test the hypothesis that populations are homogenous along with respect to the types of television program they prefer, at 5 percent level of significance.
Solution
Assume that take hypothesis that the populations are homogenous with respect to different forms of television programs they prefer
Applying χ2 test
O
E
(O - E) 2
(O - E) 2 /E
70.00
2500.00
35.7143
35.00
625.00
17.8571
67.50
1406.25
20.8333
33.75
1701.56
50.4166
14.06
0.4166
62.50
156.25
2.500
31.25
264.06
8.4499
826.56
26.449
Σ(O - E) 2 /E = 180.4948
χ2 = Σ(O - E)2/E
The table value of χ2 for 4d.f. at 5 percent level of significance is 9.488
The calculated value of χ2 is greater than the table value. We reject/refuse the hypothesis and conclude to the populations are not homogenous with respect to the type of TV programs preferred, conversely the different age groups vary in choice of TV programs.
how to work out inequalities with negative signs?
how do i sole linear epuation
In multiplication and division we have 1) Suggested ways of conveying the meaning of multiplication and division to children. These operations have to be taught as an activit
In this task you are required to make use of trigonometric functions, research and use the Monte Carlo method of integration to determine areas under curves and perform calculation
prove angle MJL is congruent to angle KNL
Write a function that computes the product of two matrices, one of size m × n, and the other of size n × p. Test your function in a program that passes the following two matrices t
What is the OPEC? - The Organization of the Petroleum Exporting Countries, a coordination group of petrol producers The Organization for Peace and Economic Cooperation, a German le
What are Natural Numbers and Whole Numbers? Natural numbers are the numbers that you "naturally" use for counting: 1, 2, 3, 4, ... The set of whole numbers is the set of
Evaluate following limits. Solution : Let's do the first limit & in this case it sees like we will factor a z 3 out of the numerator and denominator both. Remember that
When the son will be as old as the father today their ages will add up to 126 years. When the father was old as the son is today, their ages add upto 38 years. Find their present
Get guaranteed satisfaction & time on delivery in every assignment order you paid with us! We ensure premium quality solution document along with free turntin report!
whatsapp: +91-977-207-8620
Phone: +91-977-207-8620
Email: [email protected]
All rights reserved! Copyrights ©2019-2020 ExpertsMind IT Educational Pvt Ltd