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.
EXPLAIN HOW MARKOV PROCESS IS APPLIED IN BRAND SWITCHING?
Need Solution Find (dy)/( dx) for; (i). y = x 7 (ii). y = x 2γ (iii). y = x -3 (iv). y = x
If α,β are the zeros of a Quadratic polynomial such that α + β = 24, α - β = 8. Find a Quadratic polynomial having α and β as its zeros.
1.What are the strengths and shortcomings of the methods of teaching H T 0 in Examples 1 and 2? 2. a) Think of another activity for getting children to practise H T 0, especia
Interpretations of Definite Integral There are some quick interpretations of the definite integral which we can give here. Firstly, one possible interpretation of the defini
Ask queThe low temperature in Anchorage, Alaska today was -4°F. The low temperature in Los Angeles, California was 63°F. What is the difference in the two low temperatures?stion #M
Combined mean Assume m be the combined mean Assume x 1 be the mean of first sample Assume x 2 be the mean of the second sample Assume n 1 be the size of the 1 st
Noel rode 3x miles on his bike and Jamie rode 5x miles on hers. In terms of x, what is the total number of miles they rode? The terms 3x and 5x are such as terms since they hav
1/sec A+tan A =1-sin A /cos A
dora and her family are driving to visit relatives for the holidays they travel 174 miles in 3 hours if they travel at a constant speed how many miles do they travel in one hourest
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