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.
sequencing problem
Ravi is a teacher of Class 4 in a municipal school in Delhi. When the new school year started, he opened the textbook and started teaching the children how to write 4-digit numbers
I need an explanation of "the integral, from b to a, of the derivative of f (x). and, the integral from a to b. of the derivative of f(t) dt.
A circular pool is filling along with water. Supposing the water level will be 4 ft deep and the diameter is 20 ft, what is the volume of the water required to fill the pool? (π =
Write each of the given radicals in exponent form. Solution As illustrated in the last two parts of this example we have to be careful with parenthesis. While we
Pay $40 for plan offered for $30 for plan what percentage of savings
how do you divide
200 + 406578
Consider two bags, A and B, with the following contents Bag A Bag B 3 white marbles 4 white marbles 2 red marbles
Julie had $500. She spent 20% of it on clothes and then 25% of the remaining money on CDs. How much money did Julie spend? Find out 20% of $500 by multiplying $500 by the decim
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