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.
Quotient Rule : If the two functions f(x) & g(x) are differentiable (that means the derivative exist) then the quotient is differentiable and,
PROBLEMS RELATED TO APPLYING OPERATIONS : Some of us were testing Class 4 children with addition and subtraction problems. We gave them sums that were written horizontally and th
Scatter Graphs - A scatter graph is a graph that comprises of points which have been plotted but are not joined through line segments - The pattern of the points will defin
What is the annual interest rate on an account in which earns $948 in simple interest over 36 months along with an initial deposit of $7,900? Using the easy interest formula In
If the expression 9y - 5 represents a certain number, which of the following could NOT be the translation? a. five less than nine times y b. five less than the sum of 9 and y c
1 1/3:2/3:1/6
y 2 = t 2 - 3 is the actual implicit solution to y'= t/y, y(2) = -1. At such point I will ask that you trust me that it is actually a solution to the differential equation. You w
Normal 0 false false false EN-IN X-NONE X-NONE
ln(4x+19)=ln(2x+9)
show that all primes except 2, are of the form 4n-1 or 4n+1.
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