Question
In: Statistics and Probability
The observed frequencies of sales of different colours of cars are shown in the following table:...
The observed frequencies of sales of different colours of cars are shown in the following table:
|
Category colour |
Black |
Red |
Green |
White |
Blue |
|
Observed Frequencies |
20 |
30 |
25 |
25 |
48 |
Calculate the chi-square test statistic to test the claim of equal probabilities.
(Round off the answer to 2 decimal digits.)
Solutions
Expert Solution
Answer:
Given that:
The observed frequencies of sales of different colours of cars are shown in the following table:
|
Category colour |
Black |
Red |
Green |
White |
Blue |
|
Observed Frequencies |
20 |
30 |
25 |
25 |
48 |
| Category Colour |  |
 |
 |
 |
| Black | 20 | 29.6 | 92.16 | 3.1135 |
| Red | 30 | 29.6 | 0.16 | 0.0054 |
| Green | 25 | 29.6 | 21.16 | 0.7149 |
| White | 25 | 29.6 | 21.16 | 0.7149 |
| Blue | 48 | 29.6 | 338.56 | 11.4378 |
| Total | 148 | 15.9865 |
[Under the claims equal probabilities each colour should have same frequency.]
Total frequency= 148
Total frequency = 148/5
Total frequency = 29.6
Therefore, the total frequency is 29.6.
The chi-square test statistic is,
Where, Oi=Observed frequency
Ei= Expected frequency
=3.1135+0.0054+0.7149+0.7149+11.4378
=15.9865
=15.99 (Approximately)
Therefore, 
orchestra answered 1 year agoRelated Solutions
The observed frequencies of sales of different colours of cars are shown in the following table:...
The observed
frequencies of sales of different colours of cars are shown in the
following table:
Category colour
Black
Red
Green
White
Blue
Observed
Frequencies
20
30
25
25
48
Calculate the
chi-square test statistic to test the claim of equal
probabilities.
(Round off the answer
to 2 decimal digits.)
The observed frequencies of sales of different colours of cars are shown in the following table:...
The observed frequencies of sales of different colours of cars
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Red
Green
White
Blue
Observed Frequencies
20
30
25
25
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Calculate the chi-square test statistic to test the claim of
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